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GCF of 710/253, 407/729

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 710/253, 407/729 i.e 1/184437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/253, 407/729.

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 710/253,407/729?

Given fractions are 710/253,407/729

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 710/253,407/729, numerators are 710,407

Denominators are 253,729

The GCF of 710,407 is 1 .

LCM of 253,729 is 184437.

The greatest common factor of 710/253,407/729 = [GCF of 710,407]/[LCM of 253,729]= 1/184437

Therefore, the GCF of 710/253,407/729 is 1/184437.

Greatest Common Factor of 710,407

To find the highest common factor of 710,407, we have to find the factors of both numbers and list the highest common factor.

The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710

The factors of 407 are 1, 11, 37, 407

The HCF of 710,407 is 1.

Lets's calculate GCF of 710,407

Greatest Common Factor (GCF) of 710,407 By Common Division

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

Greatest Common Factor of 710,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,407 By Matching Biggest Common Factor Method

Now, list down the factors of 710

:

1,2,5,10,71,142,355,710

Now, list down the factors of 407

:

1,11,37,407

Greatest Common Factor

We found the factors 710,407 . The biggest common factor number is the GCF number.
So the greatest common factor 710,407 is 1.

Lets's calculate LCM of 253,729

Lowest Common Multiple of 253,729 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 184437

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184437

Therefore, the GCF of Fractions 710/253,407/729 is 1/184437

Least Common Multiple of 253,729 with GCF Formula

Least Common Multiple of 253,729 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 253,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,729) = 1

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

GCF(253,729) x common factors =1 x 1 = 1

LCM(253,729) = ( 253 × 729 ) / 1

LCM(253,729) = 184437 / 1

LCM(253,729) = 184437


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FAQs on GCF of Fractions of 710/253, 407/729

1. What is the HCF of 710,407?

The HCF of 710,407 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 710/253, 407/729?

Answer: GCF of Numerators as per given numbers 710/253, 407/729 is

GCF of Numerators i.e. for 710,407 is 1

LCM of denominators i.e. for 253,729 is 184437.

Thus, GCF of Fractions is 1/184437.Finally, GCF of Fractions for 710/253, 407/729 is 1/184437.