Greatest Common Factor of 7948/461, 6430/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7948/461, 6430/320

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 7948/461,6430/320

Given fractions are 7948/461,6430/320

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 7948,6430

Greatest Common Factor of Numerators i.e. GCF of 7948,6430 is 2 .

LCM of Denominators means LCM of 461,320 as per the given fractions.

LCM of 461,320 is 147520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7948,6430

GCF of Fractions 7948/461,6430/320 is 2/147520

2 7948, 6430
3974, 3215

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7948,6430 By Matching Biggest Common Factor Method

Greatest Common Factor of 7948,6430 By Matching Biggest Common Factor Method

Factors of 7948

List of positive integer factors of 7948 that divides 7948 without a remainder.

1,2,4,1987,3974,7948

Factors of 6430

List of positive integer factors of 6430 that divides 6430 without a remainder.

1,2,5,10,643,1286,3215,6430

Greatest Common Factor

We found the factors 7948,6430 . The biggest common factor number is the GCF number.
So the greatest common factor 7948,6430 is 2.

Lets's calculate LCM of 461,320

Given numbers has no common factors except 1. So, there LCM is their product i.e 147520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/147520

Therefore, the GCF of Fractions 7948/461,6430/320 is 2/147520

Least Common Multiple of 461,320 with GCF Formula

Least Common Multiple of 461,320 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 461,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,320) = 1

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

GCF(461,320) x common factors =1 x 1 = 1

LCM(461,320) = ( 461 × 320 ) / 1

LCM(461,320) = 147520 / 1

LCM(461,320) = 147520


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 7948/461, 6430/320

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 7948/461, 6430/320?

Answer: GCF of Numerators as per given numbers 7948/461, 6430/320 is

GCF of Numerators i.e. for 7948,6430 is 2

LCM of denominators i.e. for 461,320 is 147520.

Thus, GCF of Fractions is 2/147520.Finally, GCF of Fractions for 7948/461, 6430/320 is 2/147520.