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GCF of 20/977, 4570/1464

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 20/977, 4570/1464 i.e 10/1430328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/977, 4570/1464.

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 20/977,4570/1464?

Given fractions are 20/977,4570/1464

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 20/977,4570/1464, numerators are 20,4570

Denominators are 977,1464

The GCF of 20,4570 is 10 .

LCM of 977,1464 is 1430328.

The greatest common factor of 20/977,4570/1464 = [GCF of 20,4570]/[LCM of 977,1464]= 10/1430328

Therefore, the GCF of 20/977,4570/1464 is 10/1430328.

Greatest Common Factor of 20,4570

To find the highest common factor of 20,4570, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 4570 are 1, 2, 5, 10, 457, 914, 2285, 4570

The HCF of 20,4570 is 10.

Lets's calculate GCF of 20,4570

Greatest Common Factor (GCF) of 20,4570 By Common Division

2 20, 4570
5 10, 2285
2, 457

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 20,4570 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,4570 By Matching Biggest Common Factor Method

Now, list down the factors of 20

:

1,2,4,5,10,20

Now, list down the factors of 4570

:

1,2,5,10,457,914,2285,4570

Greatest Common Factor

We found the factors 20,4570 . The biggest common factor number is the GCF number.
So the greatest common factor 20,4570 is 10.

Lets's calculate LCM of 977,1464

Lowest Common Multiple of 977,1464 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1430328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1430328

Therefore, the GCF of Fractions 20/977,4570/1464 is 10/1430328

Least Common Multiple of 977,1464 with GCF Formula

Least Common Multiple of 977,1464 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 977,1464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,1464) = 1

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

GCF(977,1464) x common factors =1 x 1 = 1

LCM(977,1464) = ( 977 × 1464 ) / 1

LCM(977,1464) = 1430328 / 1

LCM(977,1464) = 1430328


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 20/977, 4570/1464

1. What is the HCF of 20,4570?

The HCF of 20,4570 is 10

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 20/977, 4570/1464?

Answer: GCF of Numerators as per given numbers 20/977, 4570/1464 is

GCF of Numerators i.e. for 20,4570 is 10

LCM of denominators i.e. for 977,1464 is 1430328.

Thus, GCF of Fractions is 10/1430328.Finally, GCF of Fractions for 20/977, 4570/1464 is 10/1430328.