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GCF of 159/70, 460/1016

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 159/70, 460/1016 i.e 1/35560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 159/70, 460/1016.

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 159/70,460/1016?

Given fractions are 159/70,460/1016

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 159/70,460/1016, numerators are 159,460

Denominators are 70,1016

The GCF of 159,460 is 1 .

LCM of 70,1016 is 35560.

The greatest common factor of 159/70,460/1016 = [GCF of 159,460]/[LCM of 70,1016]= 1/35560

Therefore, the GCF of 159/70,460/1016 is 1/35560.

Greatest Common Factor of 159,460

To find the highest common factor of 159,460, we have to find the factors of both numbers and list the highest common factor.

The factors of 159 are 1, 3, 53, 159

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

The HCF of 159,460 is 1.

Lets's calculate GCF of 159,460

Greatest Common Factor (GCF) of 159,460 By Common Division

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

Greatest Common Factor of 159,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,460 By Matching Biggest Common Factor Method

Now, list down the factors of 159

:

1,3,53,159

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 159,460 . The biggest common factor number is the GCF number.
So the greatest common factor 159,460 is 1.

Lets's calculate LCM of 70,1016

Lowest Common Multiple of 70,1016 using Common Division

2 70, 1016
35, 508

∴ So the LCM of the given numbers is 2 x 35 x 508 = 35560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35560

Therefore, the GCF of Fractions 159/70,460/1016 is 1/35560

Least Common Multiple of 70,1016 with GCF Formula

Least Common Multiple of 70,1016 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 70,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,1016) = 2

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

GCF(70,1016) x common factors =2 x 1 = 2

LCM(70,1016) = ( 70 × 1016 ) / 2

LCM(70,1016) = 71120 / 2

LCM(70,1016) = 35560


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 159/70, 460/1016

1. What is the HCF of 159,460?

The HCF of 159,460 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 159/70, 460/1016?

Answer: GCF of Numerators as per given numbers 159/70, 460/1016 is

GCF of Numerators i.e. for 159,460 is 1

LCM of denominators i.e. for 70,1016 is 35560.

Thus, GCF of Fractions is 1/35560.Finally, GCF of Fractions for 159/70, 460/1016 is 1/35560.