How to Find GCF of 987/296, 6541/377?

GCF of 987/296, 6541/377

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 987/296, 6541/377 i.e 1/111592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 987/296, 6541/377.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 987/296,6541/377?

Given fractions are 987/296,6541/377

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 987/296,6541/377, numerators are 987,6541

Denominators are 296,377

The GCF of 987,6541 is 1 .

LCM of 296,377 is 111592.

The greatest common factor of 987/296,6541/377 = [GCF of 987,6541]/[LCM of 296,377]= 1/111592

Therefore, the GCF of 987/296,6541/377 is 1/111592.

Greatest Common Factor of 987,6541

To find the highest common factor of 987,6541, we have to find the factors of both numbers and list the highest common factor.

The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987

The factors of 6541 are 1, 31, 211, 6541

The HCF of 987,6541 is 1.

Lets's calculate GCF of 987,6541

Greatest Common Factor (GCF) of 987,6541 By Common Division

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

Greatest Common Factor of 987,6541 By Matching Biggest Common Factor Method

Now, list down the factors of 987

1,3,7,21,47,141,329,987

Now, list down the factors of 6541

1,31,211,6541

Greatest Common Factor

We found the factors 987,6541 . The biggest common factor number is the GCF number.
So the greatest common factor 987,6541 is 1.

Lets's calculate LCM of 296,377

Lowest Common Multiple of 296,377 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 111592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111592

Therefore, the GCF of Fractions 987/296,6541/377 is 1/111592

Least Common Multiple of 296,377 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 296,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,377) = 1

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

GCF(296,377) x common factors =1 x 1 = 1

LCM(296,377) = ( 296 × 377 ) / 1

LCM(296,377) = 111592 / 1

LCM(296,377) = 111592

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FAQs on GCF of Fractions of 987/296, 6541/377

1. What is the HCF of 987,6541?

The HCF of 987,6541 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 987/296, 6541/377?

Answer: GCF of Numerators as per given numbers 987/296, 6541/377 is

GCF of Numerators i.e. for 987,6541 is 1

LCM of denominators i.e. for 296,377 is 111592.

Thus, GCF of Fractions is 1/111592.Finally, GCF of Fractions for 987/296, 6541/377 is 1/111592.