Greatest Common Factor of 4867/154, 5802/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4867/154, 5802/858

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 4867/154,5802/858

Given fractions are 4867/154,5802/858

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 4867,5802

Greatest Common Factor of Numerators i.e. GCF of 4867,5802 is 1 .

LCM of Denominators means LCM of 154,858 as per the given fractions.

LCM of 154,858 is 6006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4867,5802

GCF of Fractions 4867/154,5802/858 is 1/6006

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

Greatest Common Factor of 4867,5802 By Matching Biggest Common Factor Method

Greatest Common Factor of 4867,5802 By Matching Biggest Common Factor Method

Factors of 4867

List of positive integer factors of 4867 that divides 4867 without a remainder.

1,31,157,4867

Factors of 5802

List of positive integer factors of 5802 that divides 5802 without a remainder.

1,2,3,6,967,1934,2901,5802

Greatest Common Factor

We found the factors 4867,5802 . The biggest common factor number is the GCF number.
So the greatest common factor 4867,5802 is 1.

Lets's calculate LCM of 154,858

2 154, 858
11 77, 429
7, 39

∴ So the LCM of the given numbers is 2 x 11 x 7 x 39 = 6006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6006

Therefore, the GCF of Fractions 4867/154,5802/858 is 1/6006

Least Common Multiple of 154,858 with GCF Formula

Least Common Multiple of 154,858 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 154,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,858) = 22

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

GCF(154,858) x common factors =22 x 1 = 22

LCM(154,858) = ( 154 × 858 ) / 22

LCM(154,858) = 132132 / 22

LCM(154,858) = 6006


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 4867/154, 5802/858

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 4867/154, 5802/858?

Answer: GCF of Numerators as per given numbers 4867/154, 5802/858 is

GCF of Numerators i.e. for 4867,5802 is 1

LCM of denominators i.e. for 154,858 is 6006.

Thus, GCF of Fractions is 1/6006.Finally, GCF of Fractions for 4867/154, 5802/858 is 1/6006.