Greatest Common Factor of 1738/829, 8212/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1738/829, 8212/757

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 1738/829,8212/757

Given fractions are 1738/829,8212/757

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 1738,8212

Greatest Common Factor of Numerators i.e. GCF of 1738,8212 is 2 .

LCM of Denominators means LCM of 829,757 as per the given fractions.

LCM of 829,757 is 627553 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1738,8212

GCF of Fractions 1738/829,8212/757 is 2/627553

2 1738, 8212
869, 4106

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

Greatest Common Factor of 1738,8212 By Matching Biggest Common Factor Method

Greatest Common Factor of 1738,8212 By Matching Biggest Common Factor Method

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1,2,11,22,79,158,869,1738

Factors of 8212

List of positive integer factors of 8212 that divides 8212 without a remainder.

1,2,4,2053,4106,8212

Greatest Common Factor

We found the factors 1738,8212 . The biggest common factor number is the GCF number.
So the greatest common factor 1738,8212 is 2.

Lets's calculate LCM of 829,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 627553

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/627553

Therefore, the GCF of Fractions 1738/829,8212/757 is 2/627553

Least Common Multiple of 829,757 with GCF Formula

Least Common Multiple of 829,757 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 829,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,757) = 1

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

GCF(829,757) x common factors =1 x 1 = 1

LCM(829,757) = ( 829 × 757 ) / 1

LCM(829,757) = 627553 / 1

LCM(829,757) = 627553


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 1738/829, 8212/757

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 1738/829, 8212/757?

Answer: GCF of Numerators as per given numbers 1738/829, 8212/757 is

GCF of Numerators i.e. for 1738,8212 is 2

LCM of denominators i.e. for 829,757 is 627553.

Thus, GCF of Fractions is 2/627553.Finally, GCF of Fractions for 1738/829, 8212/757 is 2/627553.