Greatest Common Factor of 88/75, 628/26, 770/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/75, 628/26, 770/548

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 88/75,628/26,770/548

Given fractions are 88/75,628/26,770/548

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 88,628,770

Greatest Common Factor of Numerators i.e. GCF of 88,628,770 is 2 .

LCM of Denominators means LCM of 75,26,548 as per the given fractions.

LCM of 75,26,548 is 534300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,628,770

GCF of Fractions 88/75,628/26,770/548 is 2/534300

2 88, 628, 770
44, 314, 385

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 88,628,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,628,770 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 88,628,770 . The biggest common factor number is the GCF number.
So the greatest common factor 88,628,770 is 2.

Lets's calculate LCM of 75,26,548

2 75, 26, 548
75, 13, 274

∴ So the LCM of the given numbers is 2 x 75 x 13 x 274 = 534300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/534300

Therefore, the GCF of Fractions 88/75,628/26,770/548 is 2/534300

Least Common Multiple of 75,26,548 with GCF Formula

Least Common Multiple of 75,26,548 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 75,26,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,26,548) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(75,26,548) x common factors =1 x 2 = 2

LCM(75,26,548) = ( 75 × 26 × 548 ) / 2

LCM(75,26,548) = 1068600 / 2

LCM(75,26,548) = 534300


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 88/75, 628/26, 770/548

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 88/75, 628/26, 770/548?

Answer: GCF of Numerators as per given numbers 88/75, 628/26, 770/548 is

GCF of Numerators i.e. for 88,628,770 is 2

LCM of denominators i.e. for 75,26,548 is 534300.

Thus, GCF of Fractions is 2/534300.Finally, GCF of Fractions for 88/75, 628/26, 770/548 is 2/534300.