Greatest Common Factor of 60/698, 84/839, 128/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/698, 84/839, 128/253

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 60/698,84/839,128/253

Given fractions are 60/698,84/839,128/253

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 60,84,128

Greatest Common Factor of Numerators i.e. GCF of 60,84,128 is 4 .

LCM of Denominators means LCM of 698,839,253 as per the given fractions.

LCM of 698,839,253 is 148162366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,84,128

GCF of Fractions 60/698,84/839,128/253 is 4/148162366

2 60, 84, 128
2 30, 42, 64
15, 21, 32

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 60,84,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,84,128 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 60,84,128 . The biggest common factor number is the GCF number.
So the greatest common factor 60,84,128 is 4.

Lets's calculate LCM of 698,839,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 148162366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/148162366

Therefore, the GCF of Fractions 60/698,84/839,128/253 is 4/148162366

Least Common Multiple of 698,839,253 with GCF Formula

Least Common Multiple of 698,839,253 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 698,839,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,839,253) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(698,839,253) x common factors =1 x 1 = 1

LCM(698,839,253) = ( 698 × 839 × 253 ) / 1

LCM(698,839,253) = 148162366 / 1

LCM(698,839,253) = 148162366


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 60/698, 84/839, 128/253

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 60/698, 84/839, 128/253?

Answer: GCF of Numerators as per given numbers 60/698, 84/839, 128/253 is

GCF of Numerators i.e. for 60,84,128 is 4

LCM of denominators i.e. for 698,839,253 is 148162366.

Thus, GCF of Fractions is 4/148162366.Finally, GCF of Fractions for 60/698, 84/839, 128/253 is 4/148162366.