Greatest Common Factor of 3787/67, 8486/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3787/67, 8486/308

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 3787/67,8486/308

Given fractions are 3787/67,8486/308

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 3787,8486

Greatest Common Factor of Numerators i.e. GCF of 3787,8486 is 1 .

LCM of Denominators means LCM of 67,308 as per the given fractions.

LCM of 67,308 is 20636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3787,8486

GCF of Fractions 3787/67,8486/308 is 1/20636

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

Greatest Common Factor of 3787,8486 By Matching Biggest Common Factor Method

Greatest Common Factor of 3787,8486 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 8486

List of positive integer factors of 8486 that divides 8486 without a remainder.

1,2,4243,8486

Greatest Common Factor

We found the factors 3787,8486 . The biggest common factor number is the GCF number.
So the greatest common factor 3787,8486 is 1.

Lets's calculate LCM of 67,308

Given numbers has no common factors except 1. So, there LCM is their product i.e 20636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20636

Therefore, the GCF of Fractions 3787/67,8486/308 is 1/20636

Least Common Multiple of 67,308 with GCF Formula

Least Common Multiple of 67,308 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 67,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,308) = 1

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

GCF(67,308) x common factors =1 x 1 = 1

LCM(67,308) = ( 67 × 308 ) / 1

LCM(67,308) = 20636 / 1

LCM(67,308) = 20636


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 3787/67, 8486/308

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 3787/67, 8486/308?

Answer: GCF of Numerators as per given numbers 3787/67, 8486/308 is

GCF of Numerators i.e. for 3787,8486 is 1

LCM of denominators i.e. for 67,308 is 20636.

Thus, GCF of Fractions is 1/20636.Finally, GCF of Fractions for 3787/67, 8486/308 is 1/20636.