Greatest Common Factor of 4853/810, 1976/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4853/810, 1976/980

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 4853/810,1976/980

Given fractions are 4853/810,1976/980

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 4853,1976

Greatest Common Factor of Numerators i.e. GCF of 4853,1976 is 1 .

LCM of Denominators means LCM of 810,980 as per the given fractions.

LCM of 810,980 is 79380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4853,1976

GCF of Fractions 4853/810,1976/980 is 1/79380

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

Greatest Common Factor of 4853,1976 By Matching Biggest Common Factor Method

Greatest Common Factor of 4853,1976 By Matching Biggest Common Factor Method

Factors of 4853

List of positive integer factors of 4853 that divides 4853 without a remainder.

1,23,211,4853

Factors of 1976

List of positive integer factors of 1976 that divides 1976 without a remainder.

1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976

Greatest Common Factor

We found the factors 4853,1976 . The biggest common factor number is the GCF number.
So the greatest common factor 4853,1976 is 1.

Lets's calculate LCM of 810,980

2 810, 980
5 405, 490
81, 98

∴ So the LCM of the given numbers is 2 x 5 x 81 x 98 = 79380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79380

Therefore, the GCF of Fractions 4853/810,1976/980 is 1/79380

Least Common Multiple of 810,980 with GCF Formula

Least Common Multiple of 810,980 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 810,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,980) = 10

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

GCF(810,980) x common factors =10 x 1 = 10

LCM(810,980) = ( 810 × 980 ) / 10

LCM(810,980) = 793800 / 10

LCM(810,980) = 79380


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 4853/810, 1976/980

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 4853/810, 1976/980?

Answer: GCF of Numerators as per given numbers 4853/810, 1976/980 is

GCF of Numerators i.e. for 4853,1976 is 1

LCM of denominators i.e. for 810,980 is 79380.

Thus, GCF of Fractions is 1/79380.Finally, GCF of Fractions for 4853/810, 1976/980 is 1/79380.