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GCF of 275/504, 753/564

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 275/504, 753/564 i.e 1/23688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/504, 753/564.

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 275/504,753/564?

Given fractions are 275/504,753/564

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 275/504,753/564, numerators are 275,753

Denominators are 504,564

The GCF of 275,753 is 1 .

LCM of 504,564 is 23688.

The greatest common factor of 275/504,753/564 = [GCF of 275,753]/[LCM of 504,564]= 1/23688

Therefore, the GCF of 275/504,753/564 is 1/23688.

Greatest Common Factor of 275,753

To find the highest common factor of 275,753, we have to find the factors of both numbers and list the highest common factor.

The factors of 275 are 1, 5, 11, 25, 55, 275

The factors of 753 are 1, 3, 251, 753

The HCF of 275,753 is 1.

Lets's calculate GCF of 275,753

Greatest Common Factor (GCF) of 275,753 By Common Division

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

Greatest Common Factor of 275,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,753 By Matching Biggest Common Factor Method

Now, list down the factors of 275

:

1,5,11,25,55,275

Now, list down the factors of 753

:

1,3,251,753

Greatest Common Factor

We found the factors 275,753 . The biggest common factor number is the GCF number.
So the greatest common factor 275,753 is 1.

Lets's calculate LCM of 504,564

Lowest Common Multiple of 504,564 using Common Division

2 504, 564
2 252, 282
3 126, 141
42, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 42 x 47 = 23688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23688

Therefore, the GCF of Fractions 275/504,753/564 is 1/23688

Least Common Multiple of 504,564 with GCF Formula

Least Common Multiple of 504,564 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 504,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,564) = 12

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

GCF(504,564) x common factors =12 x 1 = 12

LCM(504,564) = ( 504 × 564 ) / 12

LCM(504,564) = 284256 / 12

LCM(504,564) = 23688


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FAQs on GCF of Fractions of 275/504, 753/564

1. What is the HCF of 275,753?

The HCF of 275,753 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 275/504, 753/564?

Answer: GCF of Numerators as per given numbers 275/504, 753/564 is

GCF of Numerators i.e. for 275,753 is 1

LCM of denominators i.e. for 504,564 is 23688.

Thus, GCF of Fractions is 1/23688.Finally, GCF of Fractions for 275/504, 753/564 is 1/23688.