Greatest Common Factor of 652/977, 210/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 652/977, 210/954

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 652/977,210/954

Given fractions are 652/977,210/954

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 652,210

Greatest Common Factor of Numerators i.e. GCF of 652,210 is 2 .

LCM of Denominators means LCM of 977,954 as per the given fractions.

LCM of 977,954 is 932058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 652,210

GCF of Fractions 652/977,210/954 is 2/932058

2 652, 210
326, 105

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

Greatest Common Factor of 652,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,210 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

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 652,210 . The biggest common factor number is the GCF number.
So the greatest common factor 652,210 is 2.

Lets's calculate LCM of 977,954

Given numbers has no common factors except 1. So, there LCM is their product i.e 932058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/932058

Therefore, the GCF of Fractions 652/977,210/954 is 2/932058

Least Common Multiple of 977,954 with GCF Formula

Least Common Multiple of 977,954 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 977,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,954) = 1

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

GCF(977,954) x common factors =1 x 1 = 1

LCM(977,954) = ( 977 × 954 ) / 1

LCM(977,954) = 932058 / 1

LCM(977,954) = 932058


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 652/977, 210/954

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 652/977, 210/954?

Answer: GCF of Numerators as per given numbers 652/977, 210/954 is

GCF of Numerators i.e. for 652,210 is 2

LCM of denominators i.e. for 977,954 is 932058.

Thus, GCF of Fractions is 2/932058.Finally, GCF of Fractions for 652/977, 210/954 is 2/932058.