Greatest Common Factor of 4175/688, 4950/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4175/688, 4950/815

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 4175/688,4950/815

Given fractions are 4175/688,4950/815

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 4175,4950

Greatest Common Factor of Numerators i.e. GCF of 4175,4950 is 25 .

LCM of Denominators means LCM of 688,815 as per the given fractions.

LCM of 688,815 is 560720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4175,4950

GCF of Fractions 4175/688,4950/815 is 25/560720

5 4175, 4950
5 835, 990
167, 198

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 4175,4950 By Matching Biggest Common Factor Method

Greatest Common Factor of 4175,4950 By Matching Biggest Common Factor Method

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1,5,25,167,835,4175

Factors of 4950

List of positive integer factors of 4950 that divides 4950 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,25,30,33,45,50,55,66,75,90,99,110,150,165,198,225,275,330,450,495,550,825,990,1650,2475,4950

Greatest Common Factor

We found the factors 4175,4950 . The biggest common factor number is the GCF number.
So the greatest common factor 4175,4950 is 25.

Lets's calculate LCM of 688,815

Given numbers has no common factors except 1. So, there LCM is their product i.e 560720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/560720

Therefore, the GCF of Fractions 4175/688,4950/815 is 25/560720

Least Common Multiple of 688,815 with GCF Formula

Least Common Multiple of 688,815 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 688,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,815) = 1

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

GCF(688,815) x common factors =1 x 1 = 1

LCM(688,815) = ( 688 × 815 ) / 1

LCM(688,815) = 560720 / 1

LCM(688,815) = 560720


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 4175/688, 4950/815

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 4175/688, 4950/815?

Answer: GCF of Numerators as per given numbers 4175/688, 4950/815 is

GCF of Numerators i.e. for 4175,4950 is 25

LCM of denominators i.e. for 688,815 is 560720.

Thus, GCF of Fractions is 25/560720.Finally, GCF of Fractions for 4175/688, 4950/815 is 25/560720.