Greatest Common Factor of 4818/895, 4341/1669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4818/895, 4341/1669

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 4818/895,4341/1669

Given fractions are 4818/895,4341/1669

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 4818,4341

Greatest Common Factor of Numerators i.e. GCF of 4818,4341 is 3 .

LCM of Denominators means LCM of 895,1669 as per the given fractions.

LCM of 895,1669 is 1493755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4818,4341

GCF of Fractions 4818/895,4341/1669 is 3/1493755

3 4818, 4341
1606, 1447

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4818,4341 By Matching Biggest Common Factor Method

Greatest Common Factor of 4818,4341 By Matching Biggest Common Factor Method

Factors of 4818

List of positive integer factors of 4818 that divides 4818 without a remainder.

1,2,3,6,11,22,33,66,73,146,219,438,803,1606,2409,4818

Factors of 4341

List of positive integer factors of 4341 that divides 4341 without a remainder.

1,3,1447,4341

Greatest Common Factor

We found the factors 4818,4341 . The biggest common factor number is the GCF number.
So the greatest common factor 4818,4341 is 3.

Lets's calculate LCM of 895,1669

Given numbers has no common factors except 1. So, there LCM is their product i.e 1493755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1493755

Therefore, the GCF of Fractions 4818/895,4341/1669 is 3/1493755

Least Common Multiple of 895,1669 with GCF Formula

Least Common Multiple of 895,1669 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 895,1669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,1669) = 1

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

GCF(895,1669) x common factors =1 x 1 = 1

LCM(895,1669) = ( 895 × 1669 ) / 1

LCM(895,1669) = 1493755 / 1

LCM(895,1669) = 1493755


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 4818/895, 4341/1669

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 4818/895, 4341/1669?

Answer: GCF of Numerators as per given numbers 4818/895, 4341/1669 is

GCF of Numerators i.e. for 4818,4341 is 3

LCM of denominators i.e. for 895,1669 is 1493755.

Thus, GCF of Fractions is 3/1493755.Finally, GCF of Fractions for 4818/895, 4341/1669 is 3/1493755.