HCF of (13⁷ + 11⁷) and (13⁵ + 11⁵) is –
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(13^7 + 11^7)=(13+7)^7
and,(13^5+11^5)=(13+11)^5
now,(13+11)⁷=(13+11)(13+11)(13+11)(13+11)(13+11)(13+11)(13+11)
and,(13+11)⁵=(13+11)(13+11)(13+11)(13+11)(13+11)
now,HCF=(13+11)⁵
may it help you...
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