Math, asked by kanchanpal2006, 1 month ago

HFC of no. 49 and 98. Class 5 maths

Answers

Answered by SmartSiddharth14
2

Answer

Answer: HCF of 49 and 98 is 49.

Explanation:

The HCF of two non-zero integers, x(49) and y(98), is the greatest positive integer m(49) that divides both x(49) and y(98) without any remainder.

Methods to Find GCF of 49 and 98

Let's look at the different methods for finding the GCF of 49 and 98.

Long Division Method

Using Euclid's Algorithm

Listing Common Factors

GCF of 49 and 98 by Long Division

GCF of 49 and 98 by Long Division

GCF of 49 and 98 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

Step 1: Divide 98 (larger number) by 49 (smaller number).

Step 2: Since the remainder = 0, the divisor (49) is the GCF of 49 and 98.

The corresponding divisor (49) is the GCF of 49 and 98.

GCF of 49 and 98 by Euclidean Algorithm

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)

where X > Y and mod is the modulo operator.

Here X = 98 and Y = 49

GCF(98, 49) = GCF(49, 98 mod 49) = GCF(49, 0)

GCF(49, 0) = 49 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of GCF of 49 and 98 is 49.

GCF of 49 and 98 by Listing Common Factors

Factors of 49: 1, 7, 49

Factors of 98: 1, 2, 7, 14, 49, 98

There are 3 common factors of 49 and 98, that are 1, 7, and 49. Therefore, the greatest common factor of 49 and 98 is 49.

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