How to Find GCF of 846/988, 460/520?

GCF of 846/988, 460/520

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 846/988, 460/520 i.e 2/9880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 846/988, 460/520.

Enter two or more fractions separated by "commas"

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

What is the GCF of 846/988,460/520?

Given fractions are 846/988,460/520

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 846/988,460/520, numerators are 846,460

Denominators are 988,520

The GCF of 846,460 is 2 .

LCM of 988,520 is 9880.

The greatest common factor of 846/988,460/520 = [GCF of 846,460]/[LCM of 988,520]= 2/9880

Therefore, the GCF of 846/988,460/520 is 2/9880.

Greatest Common Factor of 846,460

To find the highest common factor of 846,460, we have to find the factors of both numbers and list the highest common factor.

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

The HCF of 846,460 is 2.

Lets's calculate GCF of 846,460

Greatest Common Factor (GCF) of 846,460 By Common Division

2	846, 460
	423, 230

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

Greatest Common Factor of 846,460 By Matching Biggest Common Factor Method

Now, list down the factors of 846

1,2,3,6,9,18,47,94,141,282,423,846

Now, list down the factors of 460

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 846,460 . The biggest common factor number is the GCF number.
So the greatest common factor 846,460 is 2.

Lets's calculate LCM of 988,520

Lowest Common Multiple of 988,520 using Common Division

2	988, 520
2	494, 260
13	247, 130
	19, 10

∴ So the LCM of the given numbers is 2 x 2 x 13 x 19 x 10 = 9880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9880

Therefore, the GCF of Fractions 846/988,460/520 is 2/9880

Least Common Multiple of 988,520 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 988,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,520) = 52

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

GCF(988,520) x common factors =52 x 1 = 52

LCM(988,520) = ( 988 × 520 ) / 52

LCM(988,520) = 513760 / 52

LCM(988,520) = 9880

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FAQs on GCF of Fractions of 846/988, 460/520

1. What is the HCF of 846,460?

The HCF of 846,460 is 2

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 846/988, 460/520?

Answer: GCF of Numerators as per given numbers 846/988, 460/520 is

GCF of Numerators i.e. for 846,460 is 2

LCM of denominators i.e. for 988,520 is 9880.

Thus, GCF of Fractions is 2/9880.Finally, GCF of Fractions for 846/988, 460/520 is 2/9880.