Greatest Common Factor of 3462/77, 8861/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3462/77, 8861/796

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 3462/77,8861/796

Given fractions are 3462/77,8861/796

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3462,8861

Greatest Common Factor of Numerators i.e. GCF of 3462,8861 is 1 .

LCM of Denominators means LCM of 77,796 as per the given fractions.

LCM of 77,796 is 61292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3462,8861

GCF of Fractions 3462/77,8861/796 is 1/61292

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

Greatest Common Factor of 3462,8861 By Matching Biggest Common Factor Method

Greatest Common Factor of 3462,8861 By Matching Biggest Common Factor Method

Factors of 3462

List of positive integer factors of 3462 that divides 3462 without a remainder.

1,2,3,6,577,1154,1731,3462

Factors of 8861

List of positive integer factors of 8861 that divides 8861 without a remainder.

1,8861

Greatest Common Factor

We found the factors 3462,8861 . The biggest common factor number is the GCF number.
So the greatest common factor 3462,8861 is 1.

Lets's calculate LCM of 77,796

Given numbers has no common factors except 1. So, there LCM is their product i.e 61292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61292

Therefore, the GCF of Fractions 3462/77,8861/796 is 1/61292

Least Common Multiple of 77,796 with GCF Formula

Least Common Multiple of 77,796 with GCF Formula

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

We need to calculate greatest common factor of 77,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,796) = 1

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

GCF(77,796) x common factors =1 x 1 = 1

LCM(77,796) = ( 77 × 796 ) / 1

LCM(77,796) = 61292 / 1

LCM(77,796) = 61292


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3462/77, 8861/796

1. 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.

2. What is the GCF of Fractions for 3462/77, 8861/796?

Answer: GCF of Numerators as per given numbers 3462/77, 8861/796 is

GCF of Numerators i.e. for 3462,8861 is 1

LCM of denominators i.e. for 77,796 is 61292.

Thus, GCF of Fractions is 1/61292.Finally, GCF of Fractions for 3462/77, 8861/796 is 1/61292.