Greatest Common Factor of 6360/705, 7875/1874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6360/705, 7875/1874

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 6360/705,7875/1874

Given fractions are 6360/705,7875/1874

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 6360,7875

Greatest Common Factor of Numerators i.e. GCF of 6360,7875 is 15 .

LCM of Denominators means LCM of 705,1874 as per the given fractions.

LCM of 705,1874 is 1321170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6360,7875

GCF of Fractions 6360/705,7875/1874 is 15/1321170

3 6360, 7875
5 2120, 2625
424, 525

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 6360,7875 By Matching Biggest Common Factor Method

Greatest Common Factor of 6360,7875 By Matching Biggest Common Factor Method

Factors of 6360

List of positive integer factors of 6360 that divides 6360 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360

Factors of 7875

List of positive integer factors of 7875 that divides 7875 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875

Greatest Common Factor

We found the factors 6360,7875 . The biggest common factor number is the GCF number.
So the greatest common factor 6360,7875 is 15.

Lets's calculate LCM of 705,1874

Given numbers has no common factors except 1. So, there LCM is their product i.e 1321170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1321170

Therefore, the GCF of Fractions 6360/705,7875/1874 is 15/1321170

Least Common Multiple of 705,1874 with GCF Formula

Least Common Multiple of 705,1874 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 705,1874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,1874) = 1

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

GCF(705,1874) x common factors =1 x 1 = 1

LCM(705,1874) = ( 705 × 1874 ) / 1

LCM(705,1874) = 1321170 / 1

LCM(705,1874) = 1321170


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 6360/705, 7875/1874

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 6360/705, 7875/1874?

Answer: GCF of Numerators as per given numbers 6360/705, 7875/1874 is

GCF of Numerators i.e. for 6360,7875 is 15

LCM of denominators i.e. for 705,1874 is 1321170.

Thus, GCF of Fractions is 15/1321170.Finally, GCF of Fractions for 6360/705, 7875/1874 is 15/1321170.