Greatest Common Factor of 1771/378, 4832/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1771/378, 4832/223

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 1771/378,4832/223

Given fractions are 1771/378,4832/223

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 1771,4832

Greatest Common Factor of Numerators i.e. GCF of 1771,4832 is 1 .

LCM of Denominators means LCM of 378,223 as per the given fractions.

LCM of 378,223 is 84294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1771,4832

GCF of Fractions 1771/378,4832/223 is 1/84294

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

Greatest Common Factor of 1771,4832 By Matching Biggest Common Factor Method

Greatest Common Factor of 1771,4832 By Matching Biggest Common Factor Method

Factors of 1771

List of positive integer factors of 1771 that divides 1771 without a remainder.

1,7,11,23,77,161,253,1771

Factors of 4832

List of positive integer factors of 4832 that divides 4832 without a remainder.

1,2,4,8,16,32,151,302,604,1208,2416,4832

Greatest Common Factor

We found the factors 1771,4832 . The biggest common factor number is the GCF number.
So the greatest common factor 1771,4832 is 1.

Lets's calculate LCM of 378,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 84294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84294

Therefore, the GCF of Fractions 1771/378,4832/223 is 1/84294

Least Common Multiple of 378,223 with GCF Formula

Least Common Multiple of 378,223 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 378,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,223) = 1

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

GCF(378,223) x common factors =1 x 1 = 1

LCM(378,223) = ( 378 × 223 ) / 1

LCM(378,223) = 84294 / 1

LCM(378,223) = 84294


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 1771/378, 4832/223

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 1771/378, 4832/223?

Answer: GCF of Numerators as per given numbers 1771/378, 4832/223 is

GCF of Numerators i.e. for 1771,4832 is 1

LCM of denominators i.e. for 378,223 is 84294.

Thus, GCF of Fractions is 1/84294.Finally, GCF of Fractions for 1771/378, 4832/223 is 1/84294.