Greatest Common Factor of 632/691, 4020/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 632/691, 4020/319

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 632/691,4020/319

Given fractions are 632/691,4020/319

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 632,4020

Greatest Common Factor of Numerators i.e. GCF of 632,4020 is 4 .

LCM of Denominators means LCM of 691,319 as per the given fractions.

LCM of 691,319 is 220429 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 632,4020

GCF of Fractions 632/691,4020/319 is 4/220429

2 632, 4020
2 316, 2010
158, 1005

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 632,4020 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,4020 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 4020

List of positive integer factors of 4020 that divides 4020 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020

Greatest Common Factor

We found the factors 632,4020 . The biggest common factor number is the GCF number.
So the greatest common factor 632,4020 is 4.

Lets's calculate LCM of 691,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 220429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/220429

Therefore, the GCF of Fractions 632/691,4020/319 is 4/220429

Least Common Multiple of 691,319 with GCF Formula

Least Common Multiple of 691,319 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 691,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,319) = 1

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

GCF(691,319) x common factors =1 x 1 = 1

LCM(691,319) = ( 691 × 319 ) / 1

LCM(691,319) = 220429 / 1

LCM(691,319) = 220429


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 632/691, 4020/319

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 632/691, 4020/319?

Answer: GCF of Numerators as per given numbers 632/691, 4020/319 is

GCF of Numerators i.e. for 632,4020 is 4

LCM of denominators i.e. for 691,319 is 220429.

Thus, GCF of Fractions is 4/220429.Finally, GCF of Fractions for 632/691, 4020/319 is 4/220429.