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 988/264, 857/520

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 988/264, 857/520 i.e 1/17160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/264, 857/520.

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 988/264,857/520?

Given fractions are 988/264,857/520

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 988/264,857/520, numerators are 988,857

Denominators are 264,520

The GCF of 988,857 is 1 .

LCM of 264,520 is 17160.

The greatest common factor of 988/264,857/520 = [GCF of 988,857]/[LCM of 264,520]= 1/17160

Therefore, the GCF of 988/264,857/520 is 1/17160.

Greatest Common Factor of 988,857

To find the highest common factor of 988,857, we have to find the factors of both numbers and list the highest common factor.

The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

The factors of 857 are 1, 857

The HCF of 988,857 is 1.

Lets's calculate GCF of 988,857

Greatest Common Factor (GCF) of 988,857 By Common Division

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

Greatest Common Factor of 988,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,857 By Matching Biggest Common Factor Method

Now, list down the factors of 988

:

1,2,4,13,19,26,38,52,76,247,494,988

Now, list down the factors of 857

:

1,857

Greatest Common Factor

We found the factors 988,857 . The biggest common factor number is the GCF number.
So the greatest common factor 988,857 is 1.

Lets's calculate LCM of 264,520

Lowest Common Multiple of 264,520 using Common Division

2 264, 520
2 132, 260
2 66, 130
33, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 33 x 65 = 17160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17160

Therefore, the GCF of Fractions 988/264,857/520 is 1/17160

Least Common Multiple of 264,520 with GCF Formula

Least Common Multiple of 264,520 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 264,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,520) = 8

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

GCF(264,520) x common factors =8 x 1 = 8

LCM(264,520) = ( 264 × 520 ) / 8

LCM(264,520) = 137280 / 8

LCM(264,520) = 17160


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 988/264, 857/520

1. What is the HCF of 988,857?

The HCF of 988,857 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 988/264, 857/520?

Answer: GCF of Numerators as per given numbers 988/264, 857/520 is

GCF of Numerators i.e. for 988,857 is 1

LCM of denominators i.e. for 264,520 is 17160.

Thus, GCF of Fractions is 1/17160.Finally, GCF of Fractions for 988/264, 857/520 is 1/17160.