Greatest Common Factor of 895/740, 182/676, 949/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 895/740, 182/676, 949/299

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 895/740,182/676,949/299

Given fractions are 895/740,182/676,949/299

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 895,182,949

Greatest Common Factor of Numerators i.e. GCF of 895,182,949 is 1 .

LCM of Denominators means LCM of 740,676,299 as per the given fractions.

LCM of 740,676,299 is 2876380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 895,182,949

GCF of Fractions 895/740,182/676,949/299 is 1/2876380

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

Greatest Common Factor of 895,182,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,182,949 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 895,182,949 . The biggest common factor number is the GCF number.
So the greatest common factor 895,182,949 is 1.

Lets's calculate LCM of 740,676,299

2 740, 676, 299
2 370, 338, 299
13 185, 169, 299
185, 13, 23

∴ So the LCM of the given numbers is 2 x 2 x 13 x 185 x 13 x 23 = 2876380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2876380

Therefore, the GCF of Fractions 895/740,182/676,949/299 is 1/2876380

Least Common Multiple of 740,676,299 with GCF Formula

Least Common Multiple of 740,676,299 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 740,676,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,676,299) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(740,676,299) x common factors =1 x 52 = 52

LCM(740,676,299) = ( 740 × 676 × 299 ) / 52

LCM(740,676,299) = 149571760 / 52

LCM(740,676,299) = 2876380


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 895/740, 182/676, 949/299

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 895/740, 182/676, 949/299?

Answer: GCF of Numerators as per given numbers 895/740, 182/676, 949/299 is

GCF of Numerators i.e. for 895,182,949 is 1

LCM of denominators i.e. for 740,676,299 is 2876380.

Thus, GCF of Fractions is 1/2876380.Finally, GCF of Fractions for 895/740, 182/676, 949/299 is 1/2876380.