Greatest Common Factor of 9317/783, 6076/1853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9317/783, 6076/1853

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 9317/783,6076/1853

Given fractions are 9317/783,6076/1853

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 9317,6076

Greatest Common Factor of Numerators i.e. GCF of 9317,6076 is 7 .

LCM of Denominators means LCM of 783,1853 as per the given fractions.

LCM of 783,1853 is 1450899 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9317,6076

GCF of Fractions 9317/783,6076/1853 is 7/1450899

7 9317, 6076
1331, 868

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

Greatest Common Factor of 9317,6076 By Matching Biggest Common Factor Method

Greatest Common Factor of 9317,6076 By Matching Biggest Common Factor Method

Factors of 9317

List of positive integer factors of 9317 that divides 9317 without a remainder.

1,7,11,77,121,847,1331,9317

Factors of 6076

List of positive integer factors of 6076 that divides 6076 without a remainder.

1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076

Greatest Common Factor

We found the factors 9317,6076 . The biggest common factor number is the GCF number.
So the greatest common factor 9317,6076 is 7.

Lets's calculate LCM of 783,1853

Given numbers has no common factors except 1. So, there LCM is their product i.e 1450899

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1450899

Therefore, the GCF of Fractions 9317/783,6076/1853 is 7/1450899

Least Common Multiple of 783,1853 with GCF Formula

Least Common Multiple of 783,1853 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 783,1853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,1853) = 1

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

GCF(783,1853) x common factors =1 x 1 = 1

LCM(783,1853) = ( 783 × 1853 ) / 1

LCM(783,1853) = 1450899 / 1

LCM(783,1853) = 1450899


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 9317/783, 6076/1853

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 9317/783, 6076/1853?

Answer: GCF of Numerators as per given numbers 9317/783, 6076/1853 is

GCF of Numerators i.e. for 9317,6076 is 7

LCM of denominators i.e. for 783,1853 is 1450899.

Thus, GCF of Fractions is 7/1450899.Finally, GCF of Fractions for 9317/783, 6076/1853 is 7/1450899.