Greatest Common Factor of 7669/61, 8762/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7669/61, 8762/706

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 7669/61,8762/706

Given fractions are 7669/61,8762/706

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 7669,8762

Greatest Common Factor of Numerators i.e. GCF of 7669,8762 is 1 .

LCM of Denominators means LCM of 61,706 as per the given fractions.

LCM of 61,706 is 43066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7669,8762

GCF of Fractions 7669/61,8762/706 is 1/43066

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

Greatest Common Factor of 7669,8762 By Matching Biggest Common Factor Method

Greatest Common Factor of 7669,8762 By Matching Biggest Common Factor Method

Factors of 7669

List of positive integer factors of 7669 that divides 7669 without a remainder.

1,7669

Factors of 8762

List of positive integer factors of 8762 that divides 8762 without a remainder.

1,2,13,26,337,674,4381,8762

Greatest Common Factor

We found the factors 7669,8762 . The biggest common factor number is the GCF number.
So the greatest common factor 7669,8762 is 1.

Lets's calculate LCM of 61,706

Given numbers has no common factors except 1. So, there LCM is their product i.e 43066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43066

Therefore, the GCF of Fractions 7669/61,8762/706 is 1/43066

Least Common Multiple of 61,706 with GCF Formula

Least Common Multiple of 61,706 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 61,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,706) = 1

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

GCF(61,706) x common factors =1 x 1 = 1

LCM(61,706) = ( 61 × 706 ) / 1

LCM(61,706) = 43066 / 1

LCM(61,706) = 43066


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 7669/61, 8762/706

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 7669/61, 8762/706?

Answer: GCF of Numerators as per given numbers 7669/61, 8762/706 is

GCF of Numerators i.e. for 7669,8762 is 1

LCM of denominators i.e. for 61,706 is 43066.

Thus, GCF of Fractions is 1/43066.Finally, GCF of Fractions for 7669/61, 8762/706 is 1/43066.