LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 970/878, 753/172

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 970/878, 753/172 i.e 1/75508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/878, 753/172.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 970/878,753/172?

Given fractions are 970/878,753/172

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 970/878,753/172, numerators are 970,753

Denominators are 878,172

The GCF of 970,753 is 1 .

LCM of 878,172 is 75508.

The greatest common factor of 970/878,753/172 = [GCF of 970,753]/[LCM of 878,172]= 1/75508

Therefore, the GCF of 970/878,753/172 is 1/75508.

Greatest Common Factor of 970,753

To find the highest common factor of 970,753, we have to find the factors of both numbers and list the highest common factor.

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970

The factors of 753 are 1, 3, 251, 753

The HCF of 970,753 is 1.

Lets's calculate GCF of 970,753

Greatest Common Factor (GCF) of 970,753 By Common Division

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

Greatest Common Factor of 970,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,753 By Matching Biggest Common Factor Method

Now, list down the factors of 970

:

1,2,5,10,97,194,485,970

Now, list down the factors of 753

:

1,3,251,753

Greatest Common Factor

We found the factors 970,753 . The biggest common factor number is the GCF number.
So the greatest common factor 970,753 is 1.

Lets's calculate LCM of 878,172

Lowest Common Multiple of 878,172 using Common Division

2 878, 172
439, 86

∴ So the LCM of the given numbers is 2 x 439 x 86 = 75508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75508

Therefore, the GCF of Fractions 970/878,753/172 is 1/75508

Least Common Multiple of 878,172 with GCF Formula

Least Common Multiple of 878,172 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 878,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,172) = 2

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

GCF(878,172) x common factors =2 x 1 = 2

LCM(878,172) = ( 878 × 172 ) / 2

LCM(878,172) = 151016 / 2

LCM(878,172) = 75508


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 970/878, 753/172

1. What is the HCF of 970,753?

The HCF of 970,753 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 970/878, 753/172?

Answer: GCF of Numerators as per given numbers 970/878, 753/172 is

GCF of Numerators i.e. for 970,753 is 1

LCM of denominators i.e. for 878,172 is 75508.

Thus, GCF of Fractions is 1/75508.Finally, GCF of Fractions for 970/878, 753/172 is 1/75508.