Greatest Common Factor of 4918/913, 3584/4670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4918/913, 3584/4670

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 4918/913,3584/4670

Given fractions are 4918/913,3584/4670

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 4918,3584

Greatest Common Factor of Numerators i.e. GCF of 4918,3584 is 2 .

LCM of Denominators means LCM of 913,4670 as per the given fractions.

LCM of 913,4670 is 4263710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4918,3584

GCF of Fractions 4918/913,3584/4670 is 2/4263710

2 4918, 3584
2459, 1792

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

Greatest Common Factor of 4918,3584 By Matching Biggest Common Factor Method

Greatest Common Factor of 4918,3584 By Matching Biggest Common Factor Method

Factors of 4918

List of positive integer factors of 4918 that divides 4918 without a remainder.

1,2,2459,4918

Factors of 3584

List of positive integer factors of 3584 that divides 3584 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584

Greatest Common Factor

We found the factors 4918,3584 . The biggest common factor number is the GCF number.
So the greatest common factor 4918,3584 is 2.

Lets's calculate LCM of 913,4670

Given numbers has no common factors except 1. So, there LCM is their product i.e 4263710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4263710

Therefore, the GCF of Fractions 4918/913,3584/4670 is 2/4263710

Least Common Multiple of 913,4670 with GCF Formula

Least Common Multiple of 913,4670 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 913,4670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,4670) = 1

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

GCF(913,4670) x common factors =1 x 1 = 1

LCM(913,4670) = ( 913 × 4670 ) / 1

LCM(913,4670) = 4263710 / 1

LCM(913,4670) = 4263710


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 4918/913, 3584/4670

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 4918/913, 3584/4670?

Answer: GCF of Numerators as per given numbers 4918/913, 3584/4670 is

GCF of Numerators i.e. for 4918,3584 is 2

LCM of denominators i.e. for 913,4670 is 4263710.

Thus, GCF of Fractions is 2/4263710.Finally, GCF of Fractions for 4918/913, 3584/4670 is 2/4263710.