Greatest Common Factor of 7609/470, 3948/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7609/470, 3948/967

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 7609/470,3948/967

Given fractions are 7609/470,3948/967

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 7609,3948

Greatest Common Factor of Numerators i.e. GCF of 7609,3948 is 7 .

LCM of Denominators means LCM of 470,967 as per the given fractions.

LCM of 470,967 is 454490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7609,3948

GCF of Fractions 7609/470,3948/967 is 7/454490

7 7609, 3948
1087, 564

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7609,3948 By Matching Biggest Common Factor Method

Greatest Common Factor of 7609,3948 By Matching Biggest Common Factor Method

Factors of 7609

List of positive integer factors of 7609 that divides 7609 without a remainder.

1,7,1087,7609

Factors of 3948

List of positive integer factors of 3948 that divides 3948 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948

Greatest Common Factor

We found the factors 7609,3948 . The biggest common factor number is the GCF number.
So the greatest common factor 7609,3948 is 7.

Lets's calculate LCM of 470,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 454490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/454490

Therefore, the GCF of Fractions 7609/470,3948/967 is 7/454490

Least Common Multiple of 470,967 with GCF Formula

Least Common Multiple of 470,967 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 470,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,967) = 1

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

GCF(470,967) x common factors =1 x 1 = 1

LCM(470,967) = ( 470 × 967 ) / 1

LCM(470,967) = 454490 / 1

LCM(470,967) = 454490


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 7609/470, 3948/967

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 7609/470, 3948/967?

Answer: GCF of Numerators as per given numbers 7609/470, 3948/967 is

GCF of Numerators i.e. for 7609,3948 is 7

LCM of denominators i.e. for 470,967 is 454490.

Thus, GCF of Fractions is 7/454490.Finally, GCF of Fractions for 7609/470, 3948/967 is 7/454490.