How to Find GCF of 61/79, 74/25, 616/777?

GCF of 61/79, 74/25, 616/777

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 61/79, 74/25, 616/777 i.e 1/1534575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/79, 74/25, 616/777.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 61/79,74/25,616/777?

Given fractions are 61/79,74/25,616/777

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 61/79,74/25,616/777, numerators are 61,74,616

Denominators are 79,25,777

The GCF of 61,74,616 is 1 .

LCM of 79,25,777 is 1534575.

The greatest common factor of 61/79,74/25,616/777 = [GCF of 61,74,616]/[LCM of 79,25,777]= 1/1534575

Therefore, the GCF of 61/79,74/25,616/777 is 1/1534575.

Greatest Common Factor of 61,74,616

To find the highest common factor of 61,74,616, we have to find the factors of both numbers and list the highest common factor.

The factors of 61 are 1, 61

The factors of 74 are 1, 2, 37, 74

The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

The HCF of 61,74,616 is 1.

Lets's calculate GCF of 61,74,616

Greatest Common Factor (GCF) of 61,74,616 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 61,74,616 By Matching Biggest Common Factor Method

Now, list down the factors of 61

1,61

Now, list down the factors of 74

1,2,37,74

Now, list down the factors of 616

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 61,74,616 . The biggest common factor number is the GCF number.
So the greatest common factor 61,74,616 is 1.

Lets's calculate LCM of 79,25,777

Lowest Common Multiple of 79,25,777 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1534575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1534575

Therefore, the GCF of Fractions 61/79,74/25,616/777 is 1/1534575

Least Common Multiple of 79,25,777 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 79,25,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,25,777) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,25,777) x common factors =1 x 1 = 1

LCM(79,25,777) = ( 79 × 25 × 777 ) / 1

LCM(79,25,777) = 1534575 / 1

LCM(79,25,777) = 1534575

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FAQs on GCF of Fractions of 61/79, 74/25, 616/777

1. What is the HCF of 61,74,616?

The HCF of 61,74,616 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 61/79, 74/25, 616/777?

Answer: GCF of Numerators as per given numbers 61/79, 74/25, 616/777 is

GCF of Numerators i.e. for 61,74,616 is 1

LCM of denominators i.e. for 79,25,777 is 1534575.

Thus, GCF of Fractions is 1/1534575.Finally, GCF of Fractions for 61/79, 74/25, 616/777 is 1/1534575.