Greatest Common Factor of 4919/775, 1151/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4919/775, 1151/154

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 4919/775,1151/154

Given fractions are 4919/775,1151/154

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 4919,1151

Greatest Common Factor of Numerators i.e. GCF of 4919,1151 is 1 .

LCM of Denominators means LCM of 775,154 as per the given fractions.

LCM of 775,154 is 119350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4919,1151

GCF of Fractions 4919/775,1151/154 is 1/119350

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

Greatest Common Factor of 4919,1151 By Matching Biggest Common Factor Method

Greatest Common Factor of 4919,1151 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 1151

List of positive integer factors of 1151 that divides 1151 without a remainder.

1,1151

Greatest Common Factor

We found the factors 4919,1151 . The biggest common factor number is the GCF number.
So the greatest common factor 4919,1151 is 1.

Lets's calculate LCM of 775,154

Given numbers has no common factors except 1. So, there LCM is their product i.e 119350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119350

Therefore, the GCF of Fractions 4919/775,1151/154 is 1/119350

Least Common Multiple of 775,154 with GCF Formula

Least Common Multiple of 775,154 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 775,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,154) = 1

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

GCF(775,154) x common factors =1 x 1 = 1

LCM(775,154) = ( 775 × 154 ) / 1

LCM(775,154) = 119350 / 1

LCM(775,154) = 119350


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 4919/775, 1151/154

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 4919/775, 1151/154?

Answer: GCF of Numerators as per given numbers 4919/775, 1151/154 is

GCF of Numerators i.e. for 4919,1151 is 1

LCM of denominators i.e. for 775,154 is 119350.

Thus, GCF of Fractions is 1/119350.Finally, GCF of Fractions for 4919/775, 1151/154 is 1/119350.