How to Find GCF of 981/410, 2914/749?

GCF of 981/410, 2914/749

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 981/410, 2914/749 i.e 1/307090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 981/410, 2914/749.

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 981/410,2914/749?

Given fractions are 981/410,2914/749

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 981/410,2914/749, numerators are 981,2914

Denominators are 410,749

The GCF of 981,2914 is 1 .

LCM of 410,749 is 307090.

The greatest common factor of 981/410,2914/749 = [GCF of 981,2914]/[LCM of 410,749]= 1/307090

Therefore, the GCF of 981/410,2914/749 is 1/307090.

Greatest Common Factor of 981,2914

To find the highest common factor of 981,2914, we have to find the factors of both numbers and list the highest common factor.

The factors of 981 are 1, 3, 9, 109, 327, 981

The factors of 2914 are 1, 2, 31, 47, 62, 94, 1457, 2914

The HCF of 981,2914 is 1.

Lets's calculate GCF of 981,2914

Greatest Common Factor (GCF) of 981,2914 By Common Division

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

Greatest Common Factor of 981,2914 By Matching Biggest Common Factor Method

Now, list down the factors of 981

1,3,9,109,327,981

Now, list down the factors of 2914

1,2,31,47,62,94,1457,2914

Greatest Common Factor

We found the factors 981,2914 . The biggest common factor number is the GCF number.
So the greatest common factor 981,2914 is 1.

Lets's calculate LCM of 410,749

Lowest Common Multiple of 410,749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 307090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307090

Therefore, the GCF of Fractions 981/410,2914/749 is 1/307090

Least Common Multiple of 410,749 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 410,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,749) = 1

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

GCF(410,749) x common factors =1 x 1 = 1

LCM(410,749) = ( 410 × 749 ) / 1

LCM(410,749) = 307090 / 1

LCM(410,749) = 307090

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 981/410, 2914/749

1. What is the HCF of 981,2914?

The HCF of 981,2914 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 981/410, 2914/749?

Answer: GCF of Numerators as per given numbers 981/410, 2914/749 is

GCF of Numerators i.e. for 981,2914 is 1

LCM of denominators i.e. for 410,749 is 307090.

Thus, GCF of Fractions is 1/307090.Finally, GCF of Fractions for 981/410, 2914/749 is 1/307090.