Greatest Common Factor of 1050/313, 7602/4947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1050/313, 7602/4947

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 1050/313,7602/4947

Given fractions are 1050/313,7602/4947

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 1050,7602

Greatest Common Factor of Numerators i.e. GCF of 1050,7602 is 42 .

LCM of Denominators means LCM of 313,4947 as per the given fractions.

LCM of 313,4947 is 1548411 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1050,7602

GCF of Fractions 1050/313,7602/4947 is 42/1548411

2 1050, 7602
3 525, 3801
7 175, 1267
25, 181

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 1050,7602 By Matching Biggest Common Factor Method

Greatest Common Factor of 1050,7602 By Matching Biggest Common Factor Method

Factors of 1050

List of positive integer factors of 1050 that divides 1050 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050

Factors of 7602

List of positive integer factors of 7602 that divides 7602 without a remainder.

1,2,3,6,7,14,21,42,181,362,543,1086,1267,2534,3801,7602

Greatest Common Factor

We found the factors 1050,7602 . The biggest common factor number is the GCF number.
So the greatest common factor 1050,7602 is 42.

Lets's calculate LCM of 313,4947

Given numbers has no common factors except 1. So, there LCM is their product i.e 1548411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/1548411

Therefore, the GCF of Fractions 1050/313,7602/4947 is 42/1548411

Least Common Multiple of 313,4947 with GCF Formula

Least Common Multiple of 313,4947 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 313,4947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,4947) = 1

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

GCF(313,4947) x common factors =1 x 1 = 1

LCM(313,4947) = ( 313 × 4947 ) / 1

LCM(313,4947) = 1548411 / 1

LCM(313,4947) = 1548411


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 1050/313, 7602/4947

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 1050/313, 7602/4947?

Answer: GCF of Numerators as per given numbers 1050/313, 7602/4947 is

GCF of Numerators i.e. for 1050,7602 is 42

LCM of denominators i.e. for 313,4947 is 1548411.

Thus, GCF of Fractions is 42/1548411.Finally, GCF of Fractions for 1050/313, 7602/4947 is 42/1548411.