How to Find GCF of 987/41, 335/6909?

GCF of 987/41, 335/6909

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 987/41, 335/6909 i.e 1/283269 easily. The following is the detailed procedure to determine the greatest common factor of fractions 987/41, 335/6909.

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 987/41,335/6909?

Given fractions are 987/41,335/6909

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 987/41,335/6909, numerators are 987,335

Denominators are 41,6909

The GCF of 987,335 is 1 .

LCM of 41,6909 is 283269.

The greatest common factor of 987/41,335/6909 = [GCF of 987,335]/[LCM of 41,6909]= 1/283269

Therefore, the GCF of 987/41,335/6909 is 1/283269.

Greatest Common Factor of 987,335

To find the highest common factor of 987,335, 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 335 are 1, 5, 67, 335

The HCF of 987,335 is 1.

Lets's calculate GCF of 987,335

Greatest Common Factor (GCF) of 987,335 By Common Division

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

Greatest Common Factor of 987,335 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 335

1,5,67,335

Greatest Common Factor

We found the factors 987,335 . The biggest common factor number is the GCF number.
So the greatest common factor 987,335 is 1.

Lets's calculate LCM of 41,6909

Lowest Common Multiple of 41,6909 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 283269

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283269

Therefore, the GCF of Fractions 987/41,335/6909 is 1/283269

Least Common Multiple of 41,6909 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 41,6909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,6909) = 1

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

GCF(41,6909) x common factors =1 x 1 = 1

LCM(41,6909) = ( 41 × 6909 ) / 1

LCM(41,6909) = 283269 / 1

LCM(41,6909) = 283269

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FAQs on GCF of Fractions of 987/41, 335/6909

1. What is the HCF of 987,335?

The HCF of 987,335 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 987/41, 335/6909?

Answer: GCF of Numerators as per given numbers 987/41, 335/6909 is

GCF of Numerators i.e. for 987,335 is 1

LCM of denominators i.e. for 41,6909 is 283269.

Thus, GCF of Fractions is 1/283269.Finally, GCF of Fractions for 987/41, 335/6909 is 1/283269.