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GCF of 2977/500, 1526/224

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 2977/500, 1526/224 i.e 1/28000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2977/500, 1526/224.

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 2977/500,1526/224?

Given fractions are 2977/500,1526/224

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 2977/500,1526/224, numerators are 2977,1526

Denominators are 500,224

The GCF of 2977,1526 is 1 .

LCM of 500,224 is 28000.

The greatest common factor of 2977/500,1526/224 = [GCF of 2977,1526]/[LCM of 500,224]= 1/28000

Therefore, the GCF of 2977/500,1526/224 is 1/28000.

Greatest Common Factor of 2977,1526

To find the highest common factor of 2977,1526, we have to find the factors of both numbers and list the highest common factor.

The factors of 2977 are 1, 13, 229, 2977

The factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526

The HCF of 2977,1526 is 1.

Lets's calculate GCF of 2977,1526

Greatest Common Factor (GCF) of 2977,1526 By Common Division

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

Greatest Common Factor of 2977,1526 By Matching Biggest Common Factor Method

Greatest Common Factor of 2977,1526 By Matching Biggest Common Factor Method

Now, list down the factors of 2977

:

1,13,229,2977

Now, list down the factors of 1526

:

1,2,7,14,109,218,763,1526

Greatest Common Factor

We found the factors 2977,1526 . The biggest common factor number is the GCF number.
So the greatest common factor 2977,1526 is 1.

Lets's calculate LCM of 500,224

Lowest Common Multiple of 500,224 using Common Division

2 500, 224
2 250, 112
125, 56

∴ So the LCM of the given numbers is 2 x 2 x 125 x 56 = 28000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28000

Therefore, the GCF of Fractions 2977/500,1526/224 is 1/28000

Least Common Multiple of 500,224 with GCF Formula

Least Common Multiple of 500,224 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 500,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,224) = 4

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

GCF(500,224) x common factors =4 x 1 = 4

LCM(500,224) = ( 500 × 224 ) / 4

LCM(500,224) = 112000 / 4

LCM(500,224) = 28000


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FAQs on GCF of Fractions of 2977/500, 1526/224

1. What is the HCF of 2977,1526?

The HCF of 2977,1526 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 2977/500, 1526/224?

Answer: GCF of Numerators as per given numbers 2977/500, 1526/224 is

GCF of Numerators i.e. for 2977,1526 is 1

LCM of denominators i.e. for 500,224 is 28000.

Thus, GCF of Fractions is 1/28000.Finally, GCF of Fractions for 2977/500, 1526/224 is 1/28000.