Greatest Common Factor of 546/651, 210/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/651, 210/997

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 546/651,210/997

Given fractions are 546/651,210/997

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 546,210

Greatest Common Factor of Numerators i.e. GCF of 546,210 is 42 .

LCM of Denominators means LCM of 651,997 as per the given fractions.

LCM of 651,997 is 649047 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,210

GCF of Fractions 546/651,210/997 is 42/649047

2 546, 210
3 273, 105
7 91, 35
13, 5

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 546,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,210 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 546,210 . The biggest common factor number is the GCF number.
So the greatest common factor 546,210 is 42.

Lets's calculate LCM of 651,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 649047

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/649047

Therefore, the GCF of Fractions 546/651,210/997 is 42/649047

Least Common Multiple of 651,997 with GCF Formula

Least Common Multiple of 651,997 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 651,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,997) = 1

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

GCF(651,997) x common factors =1 x 1 = 1

LCM(651,997) = ( 651 × 997 ) / 1

LCM(651,997) = 649047 / 1

LCM(651,997) = 649047


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 546/651, 210/997

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 546/651, 210/997?

Answer: GCF of Numerators as per given numbers 546/651, 210/997 is

GCF of Numerators i.e. for 546,210 is 42

LCM of denominators i.e. for 651,997 is 649047.

Thus, GCF of Fractions is 42/649047.Finally, GCF of Fractions for 546/651, 210/997 is 42/649047.