Greatest Common Factor of 656/350, 7834/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 656/350, 7834/584

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 656/350,7834/584

Given fractions are 656/350,7834/584

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 656,7834

Greatest Common Factor of Numerators i.e. GCF of 656,7834 is 2 .

LCM of Denominators means LCM of 350,584 as per the given fractions.

LCM of 350,584 is 102200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 656,7834

GCF of Fractions 656/350,7834/584 is 2/102200

2 656, 7834
328, 3917

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

Greatest Common Factor of 656,7834 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,7834 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 7834

List of positive integer factors of 7834 that divides 7834 without a remainder.

1,2,3917,7834

Greatest Common Factor

We found the factors 656,7834 . The biggest common factor number is the GCF number.
So the greatest common factor 656,7834 is 2.

Lets's calculate LCM of 350,584

2 350, 584
175, 292

∴ So the LCM of the given numbers is 2 x 175 x 292 = 102200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102200

Therefore, the GCF of Fractions 656/350,7834/584 is 2/102200

Least Common Multiple of 350,584 with GCF Formula

Least Common Multiple of 350,584 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 350,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,584) = 2

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

GCF(350,584) x common factors =2 x 1 = 2

LCM(350,584) = ( 350 × 584 ) / 2

LCM(350,584) = 204400 / 2

LCM(350,584) = 102200


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 656/350, 7834/584

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 656/350, 7834/584?

Answer: GCF of Numerators as per given numbers 656/350, 7834/584 is

GCF of Numerators i.e. for 656,7834 is 2

LCM of denominators i.e. for 350,584 is 102200.

Thus, GCF of Fractions is 2/102200.Finally, GCF of Fractions for 656/350, 7834/584 is 2/102200.