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GCF of 713/23, 496/665

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 713/23, 496/665 i.e 31/15295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 713/23, 496/665.

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 713/23,496/665?

Given fractions are 713/23,496/665

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 713/23,496/665, numerators are 713,496

Denominators are 23,665

The GCF of 713,496 is 31 .

LCM of 23,665 is 15295.

The greatest common factor of 713/23,496/665 = [GCF of 713,496]/[LCM of 23,665]= 31/15295

Therefore, the GCF of 713/23,496/665 is 31/15295.

Greatest Common Factor of 713,496

To find the highest common factor of 713,496, we have to find the factors of both numbers and list the highest common factor.

The factors of 713 are 1, 23, 31, 713

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The HCF of 713,496 is 31.

Lets's calculate GCF of 713,496

Greatest Common Factor (GCF) of 713,496 By Common Division

31 713, 496
23, 16

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 713,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,496 By Matching Biggest Common Factor Method

Now, list down the factors of 713

:

1,23,31,713

Now, list down the factors of 496

:

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 713,496 . The biggest common factor number is the GCF number.
So the greatest common factor 713,496 is 31.

Lets's calculate LCM of 23,665

Lowest Common Multiple of 23,665 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 15295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/15295

Therefore, the GCF of Fractions 713/23,496/665 is 31/15295

Least Common Multiple of 23,665 with GCF Formula

Least Common Multiple of 23,665 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 23,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,665) = 1

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

GCF(23,665) x common factors =1 x 1 = 1

LCM(23,665) = ( 23 × 665 ) / 1

LCM(23,665) = 15295 / 1

LCM(23,665) = 15295


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FAQs on GCF of Fractions of 713/23, 496/665

1. What is the HCF of 713,496?

The HCF of 713,496 is 31

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 713/23, 496/665?

Answer: GCF of Numerators as per given numbers 713/23, 496/665 is

GCF of Numerators i.e. for 713,496 is 31

LCM of denominators i.e. for 23,665 is 15295.

Thus, GCF of Fractions is 31/15295.Finally, GCF of Fractions for 713/23, 496/665 is 31/15295.