Greatest Common Factor of 837/85, 363/28, 558/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 837/85, 363/28, 558/140

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 837/85,363/28,558/140

Given fractions are 837/85,363/28,558/140

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 837,363,558

Greatest Common Factor of Numerators i.e. GCF of 837,363,558 is 3 .

LCM of Denominators means LCM of 85,28,140 as per the given fractions.

LCM of 85,28,140 is 2380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 837,363,558

GCF of Fractions 837/85,363/28,558/140 is 3/2380

3 837, 363, 558
279, 121, 186

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 837,363,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,363,558 By Matching Biggest Common Factor Method

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 837,363,558 . The biggest common factor number is the GCF number.
So the greatest common factor 837,363,558 is 3.

Lets's calculate LCM of 85,28,140

2 85, 28, 140
2 85, 14, 70
5 85, 7, 35
7 17, 7, 7
17, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 17 x 1 x 1 = 2380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2380

Therefore, the GCF of Fractions 837/85,363/28,558/140 is 3/2380

Least Common Multiple of 85,28,140 with GCF Formula

Least Common Multiple of 85,28,140 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 85,28,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,28,140) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(85,28,140) x common factors =1 x 140 = 140

LCM(85,28,140) = ( 85 × 28 × 140 ) / 140

LCM(85,28,140) = 333200 / 140

LCM(85,28,140) = 2380


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 837/85, 363/28, 558/140

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 837/85, 363/28, 558/140?

Answer: GCF of Numerators as per given numbers 837/85, 363/28, 558/140 is

GCF of Numerators i.e. for 837,363,558 is 3

LCM of denominators i.e. for 85,28,140 is 2380.

Thus, GCF of Fractions is 3/2380.Finally, GCF of Fractions for 837/85, 363/28, 558/140 is 3/2380.