Greatest Common Factor of 3787/347, 7822/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3787/347, 7822/628

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 3787/347,7822/628

Given fractions are 3787/347,7822/628

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 3787,7822

Greatest Common Factor of Numerators i.e. GCF of 3787,7822 is 1 .

LCM of Denominators means LCM of 347,628 as per the given fractions.

LCM of 347,628 is 217916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3787,7822

GCF of Fractions 3787/347,7822/628 is 1/217916

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

Greatest Common Factor of 3787,7822 By Matching Biggest Common Factor Method

Greatest Common Factor of 3787,7822 By Matching Biggest Common Factor Method

Factors of 3787

List of positive integer factors of 3787 that divides 3787 without a remainder.

1,7,541,3787

Factors of 7822

List of positive integer factors of 7822 that divides 7822 without a remainder.

1,2,3911,7822

Greatest Common Factor

We found the factors 3787,7822 . The biggest common factor number is the GCF number.
So the greatest common factor 3787,7822 is 1.

Lets's calculate LCM of 347,628

Given numbers has no common factors except 1. So, there LCM is their product i.e 217916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217916

Therefore, the GCF of Fractions 3787/347,7822/628 is 1/217916

Least Common Multiple of 347,628 with GCF Formula

Least Common Multiple of 347,628 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 347,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,628) = 1

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

GCF(347,628) x common factors =1 x 1 = 1

LCM(347,628) = ( 347 × 628 ) / 1

LCM(347,628) = 217916 / 1

LCM(347,628) = 217916


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 3787/347, 7822/628

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 3787/347, 7822/628?

Answer: GCF of Numerators as per given numbers 3787/347, 7822/628 is

GCF of Numerators i.e. for 3787,7822 is 1

LCM of denominators i.e. for 347,628 is 217916.

Thus, GCF of Fractions is 1/217916.Finally, GCF of Fractions for 3787/347, 7822/628 is 1/217916.