1. Find the HCF of the following by factorization:
(a) 140 and 196
(b) 352 and 192
(c) 216 and 630
(d) 540,315 and 360 (e) 216, 324 and I 350
2. Find the HCF of the following:
(a) 390 and 663
(b) 856 and 936
(c) 837 and I 134
(d) 504 and 5 292
(e) 775 and I 800
(1) | 435 and 3 535
(g) 7 625 and 8 175 (h) 1 020 and 11 594
5610 and 10 465
0 12 350 and 6 845 (k) 10 568 and 9 247 (0 3 536 and 33 150
3. Find the HCF of the following:
(a) 256, 442 and 940 (6)
192, 576 and I 760 (©) 639, 873 and 747
(d) 612,816 and 448 (e) 176, I 100 and 4 444
(f) 808, 568 and I 112
(g) 432, I 134 and 1 347 (h) 345, 726 and 531
4. Find the HCF of the following:
(a) 1233, 726, 531 and 345
(b) | 326,3 094,4 420 and 5 577
Answers
Answer:
1)140 and 196
Let's write the prime factorization of 140 and 196
Prime factorization of 140 is 2 × 2 × 5 × 7
Prime factorization of 196 is 2 × 2 × 7 × 7
The common prime factors in the above prime factorization are 2, 2, and 7.
The Highest common factor is the product of the prime factors that are common to each of the given numbers.
So, HCF of 140 and 196 is 28.
Method 2: Highest Common Factor of 140 and 196 by Long Division
Step 1: Divide 196 by 140 and check the remainder. Here, we get the remainder as 56
Step 2: Make the remainder of the above step 56 as the divisor and the divisor of the above step 140 as the dividend and perform the long division again.
Step 3: Continue till you get the remainder as 0 and the last divisor is the HCF (140, 196)
Answer:
By using this method we can find all the HCF of prime factorization.
Hope it will help u!!
