Greatest Common Factor of 1400/175, 2996/4907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1400/175, 2996/4907

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 1400/175,2996/4907

Given fractions are 1400/175,2996/4907

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 1400,2996

Greatest Common Factor of Numerators i.e. GCF of 1400,2996 is 28 .

LCM of Denominators means LCM of 175,4907 as per the given fractions.

LCM of 175,4907 is 122675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1400,2996

GCF of Fractions 1400/175,2996/4907 is 28/122675

2 1400, 2996
2 700, 1498
7 350, 749
50, 107

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 1400,2996 By Matching Biggest Common Factor Method

Greatest Common Factor of 1400,2996 By Matching Biggest Common Factor Method

Factors of 1400

List of positive integer factors of 1400 that divides 1400 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400

Factors of 2996

List of positive integer factors of 2996 that divides 2996 without a remainder.

1,2,4,7,14,28,107,214,428,749,1498,2996

Greatest Common Factor

We found the factors 1400,2996 . The biggest common factor number is the GCF number.
So the greatest common factor 1400,2996 is 28.

Lets's calculate LCM of 175,4907

7 175, 4907
25, 701

∴ So the LCM of the given numbers is 7 x 25 x 701 = 122675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/122675

Therefore, the GCF of Fractions 1400/175,2996/4907 is 28/122675

Least Common Multiple of 175,4907 with GCF Formula

Least Common Multiple of 175,4907 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 175,4907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,4907) = 7

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

GCF(175,4907) x common factors =7 x 1 = 7

LCM(175,4907) = ( 175 × 4907 ) / 7

LCM(175,4907) = 858725 / 7

LCM(175,4907) = 122675


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 1400/175, 2996/4907

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 1400/175, 2996/4907?

Answer: GCF of Numerators as per given numbers 1400/175, 2996/4907 is

GCF of Numerators i.e. for 1400,2996 is 28

LCM of denominators i.e. for 175,4907 is 122675.

Thus, GCF of Fractions is 28/122675.Finally, GCF of Fractions for 1400/175, 2996/4907 is 28/122675.