Greatest Common Factor of 840/67, 660/1551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 840/67, 660/1551

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 840/67,660/1551

Given fractions are 840/67,660/1551

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 840,660

Greatest Common Factor of Numerators i.e. GCF of 840,660 is 60 .

LCM of Denominators means LCM of 67,1551 as per the given fractions.

LCM of 67,1551 is 103917 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 840,660

GCF of Fractions 840/67,660/1551 is 60/103917

2 840, 660
2 420, 330
3 210, 165
5 70, 55
14, 11

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Greatest Common Factor of 840,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,660 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 840,660 . The biggest common factor number is the GCF number.
So the greatest common factor 840,660 is 60.

Lets's calculate LCM of 67,1551

Given numbers has no common factors except 1. So, there LCM is their product i.e 103917

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/103917

Therefore, the GCF of Fractions 840/67,660/1551 is 60/103917

Least Common Multiple of 67,1551 with GCF Formula

Least Common Multiple of 67,1551 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 67,1551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,1551) = 1

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

GCF(67,1551) x common factors =1 x 1 = 1

LCM(67,1551) = ( 67 × 1551 ) / 1

LCM(67,1551) = 103917 / 1

LCM(67,1551) = 103917


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 840/67, 660/1551

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 840/67, 660/1551?

Answer: GCF of Numerators as per given numbers 840/67, 660/1551 is

GCF of Numerators i.e. for 840,660 is 60

LCM of denominators i.e. for 67,1551 is 103917.

Thus, GCF of Fractions is 60/103917.Finally, GCF of Fractions for 840/67, 660/1551 is 60/103917.