Greatest Common Factor of 611/400, 838/616, 198/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 611/400, 838/616, 198/880

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 611/400,838/616,198/880

Given fractions are 611/400,838/616,198/880

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 611,838,198

Greatest Common Factor of Numerators i.e. GCF of 611,838,198 is 1 .

LCM of Denominators means LCM of 400,616,880 as per the given fractions.

LCM of 400,616,880 is 30800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 611,838,198

GCF of Fractions 611/400,838/616,198/880 is 1/30800

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

Greatest Common Factor of 611,838,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,838,198 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 611,838,198 . The biggest common factor number is the GCF number.
So the greatest common factor 611,838,198 is 1.

Lets's calculate LCM of 400,616,880

2 400, 616, 880
2 200, 308, 440
2 100, 154, 220
2 50, 77, 110
5 25, 77, 55
11 5, 77, 11
5, 7, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 11 x 5 x 7 x 1 = 30800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30800

Therefore, the GCF of Fractions 611/400,838/616,198/880 is 1/30800

Least Common Multiple of 400,616,880 with GCF Formula

Least Common Multiple of 400,616,880 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 400,616,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,616,880) = 8

common factors(in case of two or more numbers have common factors) = 880

GCF(400,616,880) x common factors =8 x 880 = 7040

LCM(400,616,880) = ( 400 × 616 × 880 ) / 7040

LCM(400,616,880) = 216832000 / 7040

LCM(400,616,880) = 30800


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 611/400, 838/616, 198/880

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 611/400, 838/616, 198/880?

Answer: GCF of Numerators as per given numbers 611/400, 838/616, 198/880 is

GCF of Numerators i.e. for 611,838,198 is 1

LCM of denominators i.e. for 400,616,880 is 30800.

Thus, GCF of Fractions is 1/30800.Finally, GCF of Fractions for 611/400, 838/616, 198/880 is 1/30800.