Greatest Common Factor of 140/84, 670/54, 832/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/84, 670/54, 832/292

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 140/84,670/54,832/292

Given fractions are 140/84,670/54,832/292

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 140,670,832

Greatest Common Factor of Numerators i.e. GCF of 140,670,832 is 2 .

LCM of Denominators means LCM of 84,54,292 as per the given fractions.

LCM of 84,54,292 is 55188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,670,832

GCF of Fractions 140/84,670/54,832/292 is 2/55188

2 140, 670, 832
70, 335, 416

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 140,670,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,670,832 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 140,670,832 . The biggest common factor number is the GCF number.
So the greatest common factor 140,670,832 is 2.

Lets's calculate LCM of 84,54,292

2 84, 54, 292
2 42, 27, 146
3 21, 27, 73
7, 9, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 9 x 73 = 55188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55188

Therefore, the GCF of Fractions 140/84,670/54,832/292 is 2/55188

Least Common Multiple of 84,54,292 with GCF Formula

Least Common Multiple of 84,54,292 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 84,54,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,54,292) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(84,54,292) x common factors =2 x 12 = 24

LCM(84,54,292) = ( 84 × 54 × 292 ) / 24

LCM(84,54,292) = 1324512 / 24

LCM(84,54,292) = 55188


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 140/84, 670/54, 832/292

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 140/84, 670/54, 832/292?

Answer: GCF of Numerators as per given numbers 140/84, 670/54, 832/292 is

GCF of Numerators i.e. for 140,670,832 is 2

LCM of denominators i.e. for 84,54,292 is 55188.

Thus, GCF of Fractions is 2/55188.Finally, GCF of Fractions for 140/84, 670/54, 832/292 is 2/55188.