Greatest Common Factor of 3835/172, 8738/6286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3835/172, 8738/6286

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 3835/172,8738/6286

Given fractions are 3835/172,8738/6286

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 3835,8738

Greatest Common Factor of Numerators i.e. GCF of 3835,8738 is 1 .

LCM of Denominators means LCM of 172,6286 as per the given fractions.

LCM of 172,6286 is 540596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3835,8738

GCF of Fractions 3835/172,8738/6286 is 1/540596

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

Greatest Common Factor of 3835,8738 By Matching Biggest Common Factor Method

Greatest Common Factor of 3835,8738 By Matching Biggest Common Factor Method

Factors of 3835

List of positive integer factors of 3835 that divides 3835 without a remainder.

1,5,13,59,65,295,767,3835

Factors of 8738

List of positive integer factors of 8738 that divides 8738 without a remainder.

1,2,17,34,257,514,4369,8738

Greatest Common Factor

We found the factors 3835,8738 . The biggest common factor number is the GCF number.
So the greatest common factor 3835,8738 is 1.

Lets's calculate LCM of 172,6286

2 172, 6286
86, 3143

∴ So the LCM of the given numbers is 2 x 86 x 3143 = 540596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540596

Therefore, the GCF of Fractions 3835/172,8738/6286 is 1/540596

Least Common Multiple of 172,6286 with GCF Formula

Least Common Multiple of 172,6286 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 172,6286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,6286) = 2

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

GCF(172,6286) x common factors =2 x 1 = 2

LCM(172,6286) = ( 172 × 6286 ) / 2

LCM(172,6286) = 1081192 / 2

LCM(172,6286) = 540596


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 3835/172, 8738/6286

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 3835/172, 8738/6286?

Answer: GCF of Numerators as per given numbers 3835/172, 8738/6286 is

GCF of Numerators i.e. for 3835,8738 is 1

LCM of denominators i.e. for 172,6286 is 540596.

Thus, GCF of Fractions is 1/540596.Finally, GCF of Fractions for 3835/172, 8738/6286 is 1/540596.