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GCF of 653/270, 741/688

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 653/270, 741/688 i.e 1/92880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 653/270, 741/688.

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 653/270,741/688?

Given fractions are 653/270,741/688

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 653/270,741/688, numerators are 653,741

Denominators are 270,688

The GCF of 653,741 is 1 .

LCM of 270,688 is 92880.

The greatest common factor of 653/270,741/688 = [GCF of 653,741]/[LCM of 270,688]= 1/92880

Therefore, the GCF of 653/270,741/688 is 1/92880.

Greatest Common Factor of 653,741

To find the highest common factor of 653,741, 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 741 are 1, 3, 13, 19, 39, 57, 247, 741

The HCF of 653,741 is 1.

Lets's calculate GCF of 653,741

Greatest Common Factor (GCF) of 653,741 By Common Division

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

Greatest Common Factor of 653,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,741 By Matching Biggest Common Factor Method

Now, list down the factors of 653

:

1,653

Now, list down the factors of 741

:

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 653,741 . The biggest common factor number is the GCF number.
So the greatest common factor 653,741 is 1.

Lets's calculate LCM of 270,688

Lowest Common Multiple of 270,688 using Common Division

2 270, 688
135, 344

∴ So the LCM of the given numbers is 2 x 135 x 344 = 92880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92880

Therefore, the GCF of Fractions 653/270,741/688 is 1/92880

Least Common Multiple of 270,688 with GCF Formula

Least Common Multiple of 270,688 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 270,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,688) = 2

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

GCF(270,688) x common factors =2 x 1 = 2

LCM(270,688) = ( 270 × 688 ) / 2

LCM(270,688) = 185760 / 2

LCM(270,688) = 92880


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FAQs on GCF of Fractions of 653/270, 741/688

1. What is the HCF of 653,741?

The HCF of 653,741 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 653/270, 741/688?

Answer: GCF of Numerators as per given numbers 653/270, 741/688 is

GCF of Numerators i.e. for 653,741 is 1

LCM of denominators i.e. for 270,688 is 92880.

Thus, GCF of Fractions is 1/92880.Finally, GCF of Fractions for 653/270, 741/688 is 1/92880.