Greatest Common Factor of 4919/119, 9465/9122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4919/119, 9465/9122

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 4919/119,9465/9122

Given fractions are 4919/119,9465/9122

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 4919,9465

Greatest Common Factor of Numerators i.e. GCF of 4919,9465 is 1 .

LCM of Denominators means LCM of 119,9122 as per the given fractions.

LCM of 119,9122 is 1085518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4919,9465

GCF of Fractions 4919/119,9465/9122 is 1/1085518

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4919,9465 By Matching Biggest Common Factor Method

Greatest Common Factor of 4919,9465 By Matching Biggest Common Factor Method

Factors of 4919

List of positive integer factors of 4919 that divides 4919 without a remainder.

1,4919

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 4919,9465 . The biggest common factor number is the GCF number.
So the greatest common factor 4919,9465 is 1.

Lets's calculate LCM of 119,9122

Given numbers has no common factors except 1. So, there LCM is their product i.e 1085518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1085518

Therefore, the GCF of Fractions 4919/119,9465/9122 is 1/1085518

Least Common Multiple of 119,9122 with GCF Formula

Least Common Multiple of 119,9122 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 119,9122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,9122) = 1

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

GCF(119,9122) x common factors =1 x 1 = 1

LCM(119,9122) = ( 119 × 9122 ) / 1

LCM(119,9122) = 1085518 / 1

LCM(119,9122) = 1085518


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 4919/119, 9465/9122

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 4919/119, 9465/9122?

Answer: GCF of Numerators as per given numbers 4919/119, 9465/9122 is

GCF of Numerators i.e. for 4919,9465 is 1

LCM of denominators i.e. for 119,9122 is 1085518.

Thus, GCF of Fractions is 1/1085518.Finally, GCF of Fractions for 4919/119, 9465/9122 is 1/1085518.