Greatest Common Factor of 923/701, 7320/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 923/701, 7320/631

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 923/701,7320/631

Given fractions are 923/701,7320/631

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 923,7320

Greatest Common Factor of Numerators i.e. GCF of 923,7320 is 1 .

LCM of Denominators means LCM of 701,631 as per the given fractions.

LCM of 701,631 is 442331 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 923,7320

GCF of Fractions 923/701,7320/631 is 1/442331

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

Greatest Common Factor of 923,7320 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,7320 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 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320

Greatest Common Factor

We found the factors 923,7320 . The biggest common factor number is the GCF number.
So the greatest common factor 923,7320 is 1.

Lets's calculate LCM of 701,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 442331

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/442331

Therefore, the GCF of Fractions 923/701,7320/631 is 1/442331

Least Common Multiple of 701,631 with GCF Formula

Least Common Multiple of 701,631 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 701,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,631) = 1

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

GCF(701,631) x common factors =1 x 1 = 1

LCM(701,631) = ( 701 × 631 ) / 1

LCM(701,631) = 442331 / 1

LCM(701,631) = 442331


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 923/701, 7320/631

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 923/701, 7320/631?

Answer: GCF of Numerators as per given numbers 923/701, 7320/631 is

GCF of Numerators i.e. for 923,7320 is 1

LCM of denominators i.e. for 701,631 is 442331.

Thus, GCF of Fractions is 1/442331.Finally, GCF of Fractions for 923/701, 7320/631 is 1/442331.