Greatest Common Factor of 83/428, 774/912, 225/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/428, 774/912, 225/778

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 83/428,774/912,225/778

Given fractions are 83/428,774/912,225/778

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 83,774,225

Greatest Common Factor of Numerators i.e. GCF of 83,774,225 is 1 .

LCM of Denominators means LCM of 428,912,778 as per the given fractions.

LCM of 428,912,778 is 37960176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,774,225

GCF of Fractions 83/428,774/912,225/778 is 1/37960176

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

Greatest Common Factor of 83,774,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,774,225 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 83,774,225 . The biggest common factor number is the GCF number.
So the greatest common factor 83,774,225 is 1.

Lets's calculate LCM of 428,912,778

2 428, 912, 778
2 214, 456, 389
107, 228, 389

∴ So the LCM of the given numbers is 2 x 2 x 107 x 228 x 389 = 37960176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37960176

Therefore, the GCF of Fractions 83/428,774/912,225/778 is 1/37960176

Least Common Multiple of 428,912,778 with GCF Formula

Least Common Multiple of 428,912,778 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 428,912,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,912,778) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(428,912,778) x common factors =2 x 4 = 8

LCM(428,912,778) = ( 428 × 912 × 778 ) / 8

LCM(428,912,778) = 303681408 / 8

LCM(428,912,778) = 37960176


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 83/428, 774/912, 225/778

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 83/428, 774/912, 225/778?

Answer: GCF of Numerators as per given numbers 83/428, 774/912, 225/778 is

GCF of Numerators i.e. for 83,774,225 is 1

LCM of denominators i.e. for 428,912,778 is 37960176.

Thus, GCF of Fractions is 1/37960176.Finally, GCF of Fractions for 83/428, 774/912, 225/778 is 1/37960176.