Greatest Common Factor of 981/614, 5465/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 981/614, 5465/810

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 981/614,5465/810

Given fractions are 981/614,5465/810

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 981,5465

Greatest Common Factor of Numerators i.e. GCF of 981,5465 is 1 .

LCM of Denominators means LCM of 614,810 as per the given fractions.

LCM of 614,810 is 248670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 981,5465

GCF of Fractions 981/614,5465/810 is 1/248670

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

Greatest Common Factor of 981,5465 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,5465 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 5465

List of positive integer factors of 5465 that divides 5465 without a remainder.

1,5,1093,5465

Greatest Common Factor

We found the factors 981,5465 . The biggest common factor number is the GCF number.
So the greatest common factor 981,5465 is 1.

Lets's calculate LCM of 614,810

2 614, 810
307, 405

∴ So the LCM of the given numbers is 2 x 307 x 405 = 248670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248670

Therefore, the GCF of Fractions 981/614,5465/810 is 1/248670

Least Common Multiple of 614,810 with GCF Formula

Least Common Multiple of 614,810 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 614,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,810) = 2

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

GCF(614,810) x common factors =2 x 1 = 2

LCM(614,810) = ( 614 × 810 ) / 2

LCM(614,810) = 497340 / 2

LCM(614,810) = 248670


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 981/614, 5465/810

1. 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.

2. What is the GCF of Fractions for 981/614, 5465/810?

Answer: GCF of Numerators as per given numbers 981/614, 5465/810 is

GCF of Numerators i.e. for 981,5465 is 1

LCM of denominators i.e. for 614,810 is 248670.

Thus, GCF of Fractions is 1/248670.Finally, GCF of Fractions for 981/614, 5465/810 is 1/248670.