Greatest Common Factor of 428/850, 781/555, 138/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 428/850, 781/555, 138/740

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 428/850,781/555,138/740

Given fractions are 428/850,781/555,138/740

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 428,781,138

Greatest Common Factor of Numerators i.e. GCF of 428,781,138 is 1 .

LCM of Denominators means LCM of 850,555,740 as per the given fractions.

LCM of 850,555,740 is 188700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 428,781,138

GCF of Fractions 428/850,781/555,138/740 is 1/188700

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

Greatest Common Factor of 428,781,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,781,138 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 428,781,138 . The biggest common factor number is the GCF number.
So the greatest common factor 428,781,138 is 1.

Lets's calculate LCM of 850,555,740

2 850, 555, 740
5 425, 555, 370
37 85, 111, 74
85, 3, 2

∴ So the LCM of the given numbers is 2 x 5 x 37 x 85 x 3 x 2 = 188700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188700

Therefore, the GCF of Fractions 428/850,781/555,138/740 is 1/188700

Least Common Multiple of 850,555,740 with GCF Formula

Least Common Multiple of 850,555,740 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 850,555,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,555,740) = 5

common factors(in case of two or more numbers have common factors) = 370

GCF(850,555,740) x common factors =5 x 370 = 1850

LCM(850,555,740) = ( 850 × 555 × 740 ) / 1850

LCM(850,555,740) = 349095000 / 1850

LCM(850,555,740) = 188700


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 428/850, 781/555, 138/740

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 428/850, 781/555, 138/740?

Answer: GCF of Numerators as per given numbers 428/850, 781/555, 138/740 is

GCF of Numerators i.e. for 428,781,138 is 1

LCM of denominators i.e. for 850,555,740 is 188700.

Thus, GCF of Fractions is 1/188700.Finally, GCF of Fractions for 428/850, 781/555, 138/740 is 1/188700.