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GCF of 465/316, 613/109

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 465/316, 613/109 i.e 1/34444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 465/316, 613/109.

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 465/316,613/109?

Given fractions are 465/316,613/109

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 465/316,613/109, numerators are 465,613

Denominators are 316,109

The GCF of 465,613 is 1 .

LCM of 316,109 is 34444.

The greatest common factor of 465/316,613/109 = [GCF of 465,613]/[LCM of 316,109]= 1/34444

Therefore, the GCF of 465/316,613/109 is 1/34444.

Greatest Common Factor of 465,613

To find the highest common factor of 465,613, we have to find the factors of both numbers and list the highest common factor.

The factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465

The factors of 613 are 1, 613

The HCF of 465,613 is 1.

Lets's calculate GCF of 465,613

Greatest Common Factor (GCF) of 465,613 By Common Division

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

Greatest Common Factor of 465,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,613 By Matching Biggest Common Factor Method

Now, list down the factors of 465

:

1,3,5,15,31,93,155,465

Now, list down the factors of 613

:

1,613

Greatest Common Factor

We found the factors 465,613 . The biggest common factor number is the GCF number.
So the greatest common factor 465,613 is 1.

Lets's calculate LCM of 316,109

Lowest Common Multiple of 316,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34444

Therefore, the GCF of Fractions 465/316,613/109 is 1/34444

Least Common Multiple of 316,109 with GCF Formula

Least Common Multiple of 316,109 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 316,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,109) = 1

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

GCF(316,109) x common factors =1 x 1 = 1

LCM(316,109) = ( 316 × 109 ) / 1

LCM(316,109) = 34444 / 1

LCM(316,109) = 34444


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FAQs on GCF of Fractions of 465/316, 613/109

1. What is the HCF of 465,613?

The HCF of 465,613 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 465/316, 613/109?

Answer: GCF of Numerators as per given numbers 465/316, 613/109 is

GCF of Numerators i.e. for 465,613 is 1

LCM of denominators i.e. for 316,109 is 34444.

Thus, GCF of Fractions is 1/34444.Finally, GCF of Fractions for 465/316, 613/109 is 1/34444.