Greatest Common Factor of 696/677, 834/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/677, 834/498

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 696/677,834/498

Given fractions are 696/677,834/498

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 696,834

Greatest Common Factor of Numerators i.e. GCF of 696,834 is 6 .

LCM of Denominators means LCM of 677,498 as per the given fractions.

LCM of 677,498 is 337146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,834

GCF of Fractions 696/677,834/498 is 6/337146

2 696, 834
3 348, 417
116, 139

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 696,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,834 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 696,834 . The biggest common factor number is the GCF number.
So the greatest common factor 696,834 is 6.

Lets's calculate LCM of 677,498

Given numbers has no common factors except 1. So, there LCM is their product i.e 337146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/337146

Therefore, the GCF of Fractions 696/677,834/498 is 6/337146

Least Common Multiple of 677,498 with GCF Formula

Least Common Multiple of 677,498 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 677,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,498) = 1

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

GCF(677,498) x common factors =1 x 1 = 1

LCM(677,498) = ( 677 × 498 ) / 1

LCM(677,498) = 337146 / 1

LCM(677,498) = 337146


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 696/677, 834/498

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 696/677, 834/498?

Answer: GCF of Numerators as per given numbers 696/677, 834/498 is

GCF of Numerators i.e. for 696,834 is 6

LCM of denominators i.e. for 677,498 is 337146.

Thus, GCF of Fractions is 6/337146.Finally, GCF of Fractions for 696/677, 834/498 is 6/337146.