Greatest Common Factor of 296/862, 897/780, 927/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 296/862, 897/780, 927/299

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 296/862,897/780,927/299

Given fractions are 296/862,897/780,927/299

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 296,897,927

Greatest Common Factor of Numerators i.e. GCF of 296,897,927 is 1 .

LCM of Denominators means LCM of 862,780,299 as per the given fractions.

LCM of 862,780,299 is 7732140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 296,897,927

GCF of Fractions 296/862,897/780,927/299 is 1/7732140

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

Greatest Common Factor of 296,897,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,897,927 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 296,897,927 . The biggest common factor number is the GCF number.
So the greatest common factor 296,897,927 is 1.

Lets's calculate LCM of 862,780,299

2 862, 780, 299
13 431, 390, 299
431, 30, 23

∴ So the LCM of the given numbers is 2 x 13 x 431 x 30 x 23 = 7732140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7732140

Therefore, the GCF of Fractions 296/862,897/780,927/299 is 1/7732140

Least Common Multiple of 862,780,299 with GCF Formula

Least Common Multiple of 862,780,299 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 862,780,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,780,299) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(862,780,299) x common factors =1 x 26 = 26

LCM(862,780,299) = ( 862 × 780 × 299 ) / 26

LCM(862,780,299) = 201035640 / 26

LCM(862,780,299) = 7732140


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 296/862, 897/780, 927/299

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 296/862, 897/780, 927/299?

Answer: GCF of Numerators as per given numbers 296/862, 897/780, 927/299 is

GCF of Numerators i.e. for 296,897,927 is 1

LCM of denominators i.e. for 862,780,299 is 7732140.

Thus, GCF of Fractions is 1/7732140.Finally, GCF of Fractions for 296/862, 897/780, 927/299 is 1/7732140.