How to Find GCF of 961/981, 9908/271?

GCF of 961/981, 9908/271

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 961/981, 9908/271 i.e 1/265851 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/981, 9908/271.

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 961/981,9908/271?

Given fractions are 961/981,9908/271

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 961/981,9908/271, numerators are 961,9908

Denominators are 981,271

The GCF of 961,9908 is 1 .

LCM of 981,271 is 265851.

The greatest common factor of 961/981,9908/271 = [GCF of 961,9908]/[LCM of 981,271]= 1/265851

Therefore, the GCF of 961/981,9908/271 is 1/265851.

Greatest Common Factor of 961,9908

To find the highest common factor of 961,9908, we have to find the factors of both numbers and list the highest common factor.

The factors of 961 are 1, 31, 961

The factors of 9908 are 1, 2, 4, 2477, 4954, 9908

The HCF of 961,9908 is 1.

Lets's calculate GCF of 961,9908

Greatest Common Factor (GCF) of 961,9908 By Common Division

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

Greatest Common Factor of 961,9908 By Matching Biggest Common Factor Method

Now, list down the factors of 961

1,31,961

Now, list down the factors of 9908

1,2,4,2477,4954,9908

Greatest Common Factor

We found the factors 961,9908 . The biggest common factor number is the GCF number.
So the greatest common factor 961,9908 is 1.

Lets's calculate LCM of 981,271

Lowest Common Multiple of 981,271 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 265851

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265851

Therefore, the GCF of Fractions 961/981,9908/271 is 1/265851

Least Common Multiple of 981,271 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 981,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,271) = 1

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

GCF(981,271) x common factors =1 x 1 = 1

LCM(981,271) = ( 981 × 271 ) / 1

LCM(981,271) = 265851 / 1

LCM(981,271) = 265851

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 961/981, 9908/271

1. What is the HCF of 961,9908?

The HCF of 961,9908 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 961/981, 9908/271?

Answer: GCF of Numerators as per given numbers 961/981, 9908/271 is

GCF of Numerators i.e. for 961,9908 is 1

LCM of denominators i.e. for 981,271 is 265851.

Thus, GCF of Fractions is 1/265851.Finally, GCF of Fractions for 961/981, 9908/271 is 1/265851.