Greatest Common Factor of 2952/105, 2399/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2952/105, 2399/714

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 2952/105,2399/714

Given fractions are 2952/105,2399/714

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 2952,2399

Greatest Common Factor of Numerators i.e. GCF of 2952,2399 is 1 .

LCM of Denominators means LCM of 105,714 as per the given fractions.

LCM of 105,714 is 3570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2952,2399

GCF of Fractions 2952/105,2399/714 is 1/3570

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

Greatest Common Factor of 2952,2399 By Matching Biggest Common Factor Method

Greatest Common Factor of 2952,2399 By Matching Biggest Common Factor Method

Factors of 2952

List of positive integer factors of 2952 that divides 2952 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952

Factors of 2399

List of positive integer factors of 2399 that divides 2399 without a remainder.

1,2399

Greatest Common Factor

We found the factors 2952,2399 . The biggest common factor number is the GCF number.
So the greatest common factor 2952,2399 is 1.

Lets's calculate LCM of 105,714

3 105, 714
7 35, 238
5, 34

∴ So the LCM of the given numbers is 3 x 7 x 5 x 34 = 3570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3570

Therefore, the GCF of Fractions 2952/105,2399/714 is 1/3570

Least Common Multiple of 105,714 with GCF Formula

Least Common Multiple of 105,714 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 105,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,714) = 21

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

GCF(105,714) x common factors =21 x 1 = 21

LCM(105,714) = ( 105 × 714 ) / 21

LCM(105,714) = 74970 / 21

LCM(105,714) = 3570


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 2952/105, 2399/714

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 2952/105, 2399/714?

Answer: GCF of Numerators as per given numbers 2952/105, 2399/714 is

GCF of Numerators i.e. for 2952,2399 is 1

LCM of denominators i.e. for 105,714 is 3570.

Thus, GCF of Fractions is 1/3570.Finally, GCF of Fractions for 2952/105, 2399/714 is 1/3570.