Greatest Common Factor of 6980/370, 9465/9323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6980/370, 9465/9323

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 6980/370,9465/9323

Given fractions are 6980/370,9465/9323

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 6980,9465

Greatest Common Factor of Numerators i.e. GCF of 6980,9465 is 5 .

LCM of Denominators means LCM of 370,9323 as per the given fractions.

LCM of 370,9323 is 3449510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6980,9465

GCF of Fractions 6980/370,9465/9323 is 5/3449510

5 6980, 9465
1396, 1893

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6980,9465 By Matching Biggest Common Factor Method

Greatest Common Factor of 6980,9465 By Matching Biggest Common Factor Method

Factors of 6980

List of positive integer factors of 6980 that divides 6980 without a remainder.

1,2,4,5,10,20,349,698,1396,1745,3490,6980

Factors of 9465

List of positive integer factors of 9465 that divides 9465 without a remainder.

1,3,5,15,631,1893,3155,9465

Greatest Common Factor

We found the factors 6980,9465 . The biggest common factor number is the GCF number.
So the greatest common factor 6980,9465 is 5.

Lets's calculate LCM of 370,9323

Given numbers has no common factors except 1. So, there LCM is their product i.e 3449510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3449510

Therefore, the GCF of Fractions 6980/370,9465/9323 is 5/3449510

Least Common Multiple of 370,9323 with GCF Formula

Least Common Multiple of 370,9323 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 370,9323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,9323) = 1

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

GCF(370,9323) x common factors =1 x 1 = 1

LCM(370,9323) = ( 370 × 9323 ) / 1

LCM(370,9323) = 3449510 / 1

LCM(370,9323) = 3449510


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 6980/370, 9465/9323

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 6980/370, 9465/9323?

Answer: GCF of Numerators as per given numbers 6980/370, 9465/9323 is

GCF of Numerators i.e. for 6980,9465 is 5

LCM of denominators i.e. for 370,9323 is 3449510.

Thus, GCF of Fractions is 5/3449510.Finally, GCF of Fractions for 6980/370, 9465/9323 is 5/3449510.