Greatest Common Factor of 7858/147, 8890/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7858/147, 8890/821

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 7858/147,8890/821

Given fractions are 7858/147,8890/821

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 7858,8890

Greatest Common Factor of Numerators i.e. GCF of 7858,8890 is 2 .

LCM of Denominators means LCM of 147,821 as per the given fractions.

LCM of 147,821 is 120687 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7858,8890

GCF of Fractions 7858/147,8890/821 is 2/120687

2 7858, 8890
3929, 4445

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7858,8890 By Matching Biggest Common Factor Method

Greatest Common Factor of 7858,8890 By Matching Biggest Common Factor Method

Factors of 7858

List of positive integer factors of 7858 that divides 7858 without a remainder.

1,2,3929,7858

Factors of 8890

List of positive integer factors of 8890 that divides 8890 without a remainder.

1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890

Greatest Common Factor

We found the factors 7858,8890 . The biggest common factor number is the GCF number.
So the greatest common factor 7858,8890 is 2.

Lets's calculate LCM of 147,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 120687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120687

Therefore, the GCF of Fractions 7858/147,8890/821 is 2/120687

Least Common Multiple of 147,821 with GCF Formula

Least Common Multiple of 147,821 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 147,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,821) = 1

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

GCF(147,821) x common factors =1 x 1 = 1

LCM(147,821) = ( 147 × 821 ) / 1

LCM(147,821) = 120687 / 1

LCM(147,821) = 120687


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 7858/147, 8890/821

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 7858/147, 8890/821?

Answer: GCF of Numerators as per given numbers 7858/147, 8890/821 is

GCF of Numerators i.e. for 7858,8890 is 2

LCM of denominators i.e. for 147,821 is 120687.

Thus, GCF of Fractions is 2/120687.Finally, GCF of Fractions for 7858/147, 8890/821 is 2/120687.