Greatest Common Factor of 923/350, 9768/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 923/350, 9768/210

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 923/350,9768/210

Given fractions are 923/350,9768/210

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 923,9768

Greatest Common Factor of Numerators i.e. GCF of 923,9768 is 1 .

LCM of Denominators means LCM of 350,210 as per the given fractions.

LCM of 350,210 is 1050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 923,9768

GCF of Fractions 923/350,9768/210 is 1/1050

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 923,9768 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,9768 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768

Greatest Common Factor

We found the factors 923,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 923,9768 is 1.

Lets's calculate LCM of 350,210

2 350, 210
5 175, 105
7 35, 21
5, 3

∴ So the LCM of the given numbers is 2 x 5 x 7 x 5 x 3 = 1050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1050

Therefore, the GCF of Fractions 923/350,9768/210 is 1/1050

Least Common Multiple of 350,210 with GCF Formula

Least Common Multiple of 350,210 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 350,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,210) = 70

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

GCF(350,210) x common factors =70 x 1 = 70

LCM(350,210) = ( 350 × 210 ) / 70

LCM(350,210) = 73500 / 70

LCM(350,210) = 1050


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 923/350, 9768/210

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 923/350, 9768/210?

Answer: GCF of Numerators as per given numbers 923/350, 9768/210 is

GCF of Numerators i.e. for 923,9768 is 1

LCM of denominators i.e. for 350,210 is 1050.

Thus, GCF of Fractions is 1/1050.Finally, GCF of Fractions for 923/350, 9768/210 is 1/1050.