Greatest Common Factor of 7670/471, 8261/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7670/471, 8261/162

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 7670/471,8261/162

Given fractions are 7670/471,8261/162

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 7670,8261

Greatest Common Factor of Numerators i.e. GCF of 7670,8261 is 1 .

LCM of Denominators means LCM of 471,162 as per the given fractions.

LCM of 471,162 is 25434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7670,8261

GCF of Fractions 7670/471,8261/162 is 1/25434

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

Greatest Common Factor of 7670,8261 By Matching Biggest Common Factor Method

Greatest Common Factor of 7670,8261 By Matching Biggest Common Factor Method

Factors of 7670

List of positive integer factors of 7670 that divides 7670 without a remainder.

1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670

Factors of 8261

List of positive integer factors of 8261 that divides 8261 without a remainder.

1,11,751,8261

Greatest Common Factor

We found the factors 7670,8261 . The biggest common factor number is the GCF number.
So the greatest common factor 7670,8261 is 1.

Lets's calculate LCM of 471,162

3 471, 162
157, 54

∴ So the LCM of the given numbers is 3 x 157 x 54 = 25434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25434

Therefore, the GCF of Fractions 7670/471,8261/162 is 1/25434

Least Common Multiple of 471,162 with GCF Formula

Least Common Multiple of 471,162 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 471,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,162) = 3

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

GCF(471,162) x common factors =3 x 1 = 3

LCM(471,162) = ( 471 × 162 ) / 3

LCM(471,162) = 76302 / 3

LCM(471,162) = 25434


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 7670/471, 8261/162

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 7670/471, 8261/162?

Answer: GCF of Numerators as per given numbers 7670/471, 8261/162 is

GCF of Numerators i.e. for 7670,8261 is 1

LCM of denominators i.e. for 471,162 is 25434.

Thus, GCF of Fractions is 1/25434.Finally, GCF of Fractions for 7670/471, 8261/162 is 1/25434.