How to Find GCF of 960/59, 547/1036?

GCF of 960/59, 547/1036

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 960/59, 547/1036 i.e 1/61124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 960/59, 547/1036.

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 960/59,547/1036?

Given fractions are 960/59,547/1036

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 960/59,547/1036, numerators are 960,547

Denominators are 59,1036

The GCF of 960,547 is 1 .

LCM of 59,1036 is 61124.

The greatest common factor of 960/59,547/1036 = [GCF of 960,547]/[LCM of 59,1036]= 1/61124

Therefore, the GCF of 960/59,547/1036 is 1/61124.

Greatest Common Factor of 960,547

To find the highest common factor of 960,547, we have to find the factors of both numbers and list the highest common factor.

The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

The factors of 547 are 1, 547

The HCF of 960,547 is 1.

Lets's calculate GCF of 960,547

Greatest Common Factor (GCF) of 960,547 By Common Division

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

Greatest Common Factor of 960,547 By Matching Biggest Common Factor Method

Now, list down the factors of 960

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Now, list down the factors of 547

1,547

Greatest Common Factor

We found the factors 960,547 . The biggest common factor number is the GCF number.
So the greatest common factor 960,547 is 1.

Lets's calculate LCM of 59,1036

Lowest Common Multiple of 59,1036 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 61124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61124

Therefore, the GCF of Fractions 960/59,547/1036 is 1/61124

Least Common Multiple of 59,1036 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 59,1036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,1036) = 1

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

GCF(59,1036) x common factors =1 x 1 = 1

LCM(59,1036) = ( 59 × 1036 ) / 1

LCM(59,1036) = 61124 / 1

LCM(59,1036) = 61124

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FAQs on GCF of Fractions of 960/59, 547/1036

1. What is the HCF of 960,547?

The HCF of 960,547 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 960/59, 547/1036?

Answer: GCF of Numerators as per given numbers 960/59, 547/1036 is

GCF of Numerators i.e. for 960,547 is 1

LCM of denominators i.e. for 59,1036 is 61124.

Thus, GCF of Fractions is 1/61124.Finally, GCF of Fractions for 960/59, 547/1036 is 1/61124.