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GCF of 653/560, 3761/215

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 653/560, 3761/215 i.e 1/24080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 653/560, 3761/215.

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 653/560,3761/215?

Given fractions are 653/560,3761/215

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 653/560,3761/215, numerators are 653,3761

Denominators are 560,215

The GCF of 653,3761 is 1 .

LCM of 560,215 is 24080.

The greatest common factor of 653/560,3761/215 = [GCF of 653,3761]/[LCM of 560,215]= 1/24080

Therefore, the GCF of 653/560,3761/215 is 1/24080.

Greatest Common Factor of 653,3761

To find the highest common factor of 653,3761, we have to find the factors of both numbers and list the highest common factor.

The factors of 653 are 1, 653

The factors of 3761 are 1, 3761

The HCF of 653,3761 is 1.

Lets's calculate GCF of 653,3761

Greatest Common Factor (GCF) of 653,3761 By Common Division

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

Greatest Common Factor of 653,3761 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,3761 By Matching Biggest Common Factor Method

Now, list down the factors of 653

:

1,653

Now, list down the factors of 3761

:

1,3761

Greatest Common Factor

We found the factors 653,3761 . The biggest common factor number is the GCF number.
So the greatest common factor 653,3761 is 1.

Lets's calculate LCM of 560,215

Lowest Common Multiple of 560,215 using Common Division

5 560, 215
112, 43

∴ So the LCM of the given numbers is 5 x 112 x 43 = 24080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24080

Therefore, the GCF of Fractions 653/560,3761/215 is 1/24080

Least Common Multiple of 560,215 with GCF Formula

Least Common Multiple of 560,215 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 560,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,215) = 5

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

GCF(560,215) x common factors =5 x 1 = 5

LCM(560,215) = ( 560 × 215 ) / 5

LCM(560,215) = 120400 / 5

LCM(560,215) = 24080


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FAQs on GCF of Fractions of 653/560, 3761/215

1. What is the HCF of 653,3761?

The HCF of 653,3761 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 653/560, 3761/215?

Answer: GCF of Numerators as per given numbers 653/560, 3761/215 is

GCF of Numerators i.e. for 653,3761 is 1

LCM of denominators i.e. for 560,215 is 24080.

Thus, GCF of Fractions is 1/24080.Finally, GCF of Fractions for 653/560, 3761/215 is 1/24080.