Greatest Common Factor of 220/92, 313/6484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/92, 313/6484

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 220/92,313/6484

Given fractions are 220/92,313/6484

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 220,313

Greatest Common Factor of Numerators i.e. GCF of 220,313 is 1 .

LCM of Denominators means LCM of 92,6484 as per the given fractions.

LCM of 92,6484 is 149132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,313

GCF of Fractions 220/92,313/6484 is 1/149132

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

Greatest Common Factor of 220,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,313 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 220,313 . The biggest common factor number is the GCF number.
So the greatest common factor 220,313 is 1.

Lets's calculate LCM of 92,6484

2 92, 6484
2 46, 3242
23, 1621

∴ So the LCM of the given numbers is 2 x 2 x 23 x 1621 = 149132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149132

Therefore, the GCF of Fractions 220/92,313/6484 is 1/149132

Least Common Multiple of 92,6484 with GCF Formula

Least Common Multiple of 92,6484 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 92,6484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,6484) = 4

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

GCF(92,6484) x common factors =4 x 1 = 4

LCM(92,6484) = ( 92 × 6484 ) / 4

LCM(92,6484) = 596528 / 4

LCM(92,6484) = 149132


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 220/92, 313/6484

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 220/92, 313/6484?

Answer: GCF of Numerators as per given numbers 220/92, 313/6484 is

GCF of Numerators i.e. for 220,313 is 1

LCM of denominators i.e. for 92,6484 is 149132.

Thus, GCF of Fractions is 1/149132.Finally, GCF of Fractions for 220/92, 313/6484 is 1/149132.