Greatest Common Factor of 829/337, 702/512, 988/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 829/337, 702/512, 988/768

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 829/337,702/512,988/768

Given fractions are 829/337,702/512,988/768

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 829,702,988

Greatest Common Factor of Numerators i.e. GCF of 829,702,988 is 1 .

LCM of Denominators means LCM of 337,512,768 as per the given fractions.

LCM of 337,512,768 is 517632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 829,702,988

GCF of Fractions 829/337,702/512,988/768 is 1/517632

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

Greatest Common Factor of 829,702,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,702,988 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 829,702,988 . The biggest common factor number is the GCF number.
So the greatest common factor 829,702,988 is 1.

Lets's calculate LCM of 337,512,768

2 337, 512, 768
2 337, 256, 384
2 337, 128, 192
2 337, 64, 96
2 337, 32, 48
2 337, 16, 24
2 337, 8, 12
2 337, 4, 6
337, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 337 x 2 x 3 = 517632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517632

Therefore, the GCF of Fractions 829/337,702/512,988/768 is 1/517632

Least Common Multiple of 337,512,768 with GCF Formula

Least Common Multiple of 337,512,768 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 337,512,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,512,768) = 1

common factors(in case of two or more numbers have common factors) = 256

GCF(337,512,768) x common factors =1 x 256 = 256

LCM(337,512,768) = ( 337 × 512 × 768 ) / 256

LCM(337,512,768) = 132513792 / 256

LCM(337,512,768) = 517632


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 829/337, 702/512, 988/768

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 829/337, 702/512, 988/768?

Answer: GCF of Numerators as per given numbers 829/337, 702/512, 988/768 is

GCF of Numerators i.e. for 829,702,988 is 1

LCM of denominators i.e. for 337,512,768 is 517632.

Thus, GCF of Fractions is 1/517632.Finally, GCF of Fractions for 829/337, 702/512, 988/768 is 1/517632.