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GCF of 141/65, 104/109

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 141/65, 104/109 i.e 1/7085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/65, 104/109.

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 141/65,104/109?

Given fractions are 141/65,104/109

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 141/65,104/109, numerators are 141,104

Denominators are 65,109

The GCF of 141,104 is 1 .

LCM of 65,109 is 7085.

The greatest common factor of 141/65,104/109 = [GCF of 141,104]/[LCM of 65,109]= 1/7085

Therefore, the GCF of 141/65,104/109 is 1/7085.

Greatest Common Factor of 141,104

To find the highest common factor of 141,104, we have to find the factors of both numbers and list the highest common factor.

The factors of 141 are 1, 3, 47, 141

The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104

The HCF of 141,104 is 1.

Lets's calculate GCF of 141,104

Greatest Common Factor (GCF) of 141,104 By Common Division

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

Greatest Common Factor of 141,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,104 By Matching Biggest Common Factor Method

Now, list down the factors of 141

:

1,3,47,141

Now, list down the factors of 104

:

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 141,104 . The biggest common factor number is the GCF number.
So the greatest common factor 141,104 is 1.

Lets's calculate LCM of 65,109

Lowest Common Multiple of 65,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7085

Therefore, the GCF of Fractions 141/65,104/109 is 1/7085

Least Common Multiple of 65,109 with GCF Formula

Least Common Multiple of 65,109 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 65,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,109) = 1

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

GCF(65,109) x common factors =1 x 1 = 1

LCM(65,109) = ( 65 × 109 ) / 1

LCM(65,109) = 7085 / 1

LCM(65,109) = 7085


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FAQs on GCF of Fractions of 141/65, 104/109

1. What is the HCF of 141,104?

The HCF of 141,104 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 141/65, 104/109?

Answer: GCF of Numerators as per given numbers 141/65, 104/109 is

GCF of Numerators i.e. for 141,104 is 1

LCM of denominators i.e. for 65,109 is 7085.

Thus, GCF of Fractions is 1/7085.Finally, GCF of Fractions for 141/65, 104/109 is 1/7085.