Greatest Common Factor of 802/946, 5871/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 802/946, 5871/185

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 802/946,5871/185

Given fractions are 802/946,5871/185

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 802,5871

Greatest Common Factor of Numerators i.e. GCF of 802,5871 is 1 .

LCM of Denominators means LCM of 946,185 as per the given fractions.

LCM of 946,185 is 175010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 802,5871

GCF of Fractions 802/946,5871/185 is 1/175010

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

Greatest Common Factor of 802,5871 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,5871 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 5871

List of positive integer factors of 5871 that divides 5871 without a remainder.

1,3,19,57,103,309,1957,5871

Greatest Common Factor

We found the factors 802,5871 . The biggest common factor number is the GCF number.
So the greatest common factor 802,5871 is 1.

Lets's calculate LCM of 946,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 175010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175010

Therefore, the GCF of Fractions 802/946,5871/185 is 1/175010

Least Common Multiple of 946,185 with GCF Formula

Least Common Multiple of 946,185 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 946,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,185) = 1

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

GCF(946,185) x common factors =1 x 1 = 1

LCM(946,185) = ( 946 × 185 ) / 1

LCM(946,185) = 175010 / 1

LCM(946,185) = 175010


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 802/946, 5871/185

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 802/946, 5871/185?

Answer: GCF of Numerators as per given numbers 802/946, 5871/185 is

GCF of Numerators i.e. for 802,5871 is 1

LCM of denominators i.e. for 946,185 is 175010.

Thus, GCF of Fractions is 1/175010.Finally, GCF of Fractions for 802/946, 5871/185 is 1/175010.