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GCF of 275/353, 685/109

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 275/353, 685/109 i.e 5/38477 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/353, 685/109.

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 275/353,685/109?

Given fractions are 275/353,685/109

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 275/353,685/109, numerators are 275,685

Denominators are 353,109

The GCF of 275,685 is 5 .

LCM of 353,109 is 38477.

The greatest common factor of 275/353,685/109 = [GCF of 275,685]/[LCM of 353,109]= 5/38477

Therefore, the GCF of 275/353,685/109 is 5/38477.

Greatest Common Factor of 275,685

To find the highest common factor of 275,685, we have to find the factors of both numbers and list the highest common factor.

The factors of 275 are 1, 5, 11, 25, 55, 275

The factors of 685 are 1, 5, 137, 685

The HCF of 275,685 is 5.

Lets's calculate GCF of 275,685

Greatest Common Factor (GCF) of 275,685 By Common Division

5 275, 685
55, 137

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 275,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,685 By Matching Biggest Common Factor Method

Now, list down the factors of 275

:

1,5,11,25,55,275

Now, list down the factors of 685

:

1,5,137,685

Greatest Common Factor

We found the factors 275,685 . The biggest common factor number is the GCF number.
So the greatest common factor 275,685 is 5.

Lets's calculate LCM of 353,109

Lowest Common Multiple of 353,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/38477

Therefore, the GCF of Fractions 275/353,685/109 is 5/38477

Least Common Multiple of 353,109 with GCF Formula

Least Common Multiple of 353,109 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 353,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,109) = 1

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

GCF(353,109) x common factors =1 x 1 = 1

LCM(353,109) = ( 353 × 109 ) / 1

LCM(353,109) = 38477 / 1

LCM(353,109) = 38477


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FAQs on GCF of Fractions of 275/353, 685/109

1. What is the HCF of 275,685?

The HCF of 275,685 is 5

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 275/353, 685/109?

Answer: GCF of Numerators as per given numbers 275/353, 685/109 is

GCF of Numerators i.e. for 275,685 is 5

LCM of denominators i.e. for 353,109 is 38477.

Thus, GCF of Fractions is 5/38477.Finally, GCF of Fractions for 275/353, 685/109 is 5/38477.