Greatest Common Factor of 5106/773, 4200/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5106/773, 4200/407

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 5106/773,4200/407

Given fractions are 5106/773,4200/407

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 5106,4200

Greatest Common Factor of Numerators i.e. GCF of 5106,4200 is 6 .

LCM of Denominators means LCM of 773,407 as per the given fractions.

LCM of 773,407 is 314611 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5106,4200

GCF of Fractions 5106/773,4200/407 is 6/314611

2 5106, 4200
3 2553, 2100
851, 700

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5106,4200 By Matching Biggest Common Factor Method

Greatest Common Factor of 5106,4200 By Matching Biggest Common Factor Method

Factors of 5106

List of positive integer factors of 5106 that divides 5106 without a remainder.

1,2,3,6,23,37,46,69,74,111,138,222,851,1702,2553,5106

Factors of 4200

List of positive integer factors of 4200 that divides 4200 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200

Greatest Common Factor

We found the factors 5106,4200 . The biggest common factor number is the GCF number.
So the greatest common factor 5106,4200 is 6.

Lets's calculate LCM of 773,407

Given numbers has no common factors except 1. So, there LCM is their product i.e 314611

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/314611

Therefore, the GCF of Fractions 5106/773,4200/407 is 6/314611

Least Common Multiple of 773,407 with GCF Formula

Least Common Multiple of 773,407 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 773,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,407) = 1

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

GCF(773,407) x common factors =1 x 1 = 1

LCM(773,407) = ( 773 × 407 ) / 1

LCM(773,407) = 314611 / 1

LCM(773,407) = 314611


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 5106/773, 4200/407

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 5106/773, 4200/407?

Answer: GCF of Numerators as per given numbers 5106/773, 4200/407 is

GCF of Numerators i.e. for 5106,4200 is 6

LCM of denominators i.e. for 773,407 is 314611.

Thus, GCF of Fractions is 6/314611.Finally, GCF of Fractions for 5106/773, 4200/407 is 6/314611.