Greatest Common Factor of 3882/745, 4177/9685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3882/745, 4177/9685

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 3882/745,4177/9685

Given fractions are 3882/745,4177/9685

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 3882,4177

Greatest Common Factor of Numerators i.e. GCF of 3882,4177 is 1 .

LCM of Denominators means LCM of 745,9685 as per the given fractions.

LCM of 745,9685 is 9685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3882,4177

GCF of Fractions 3882/745,4177/9685 is 1/9685

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

Greatest Common Factor of 3882,4177 By Matching Biggest Common Factor Method

Greatest Common Factor of 3882,4177 By Matching Biggest Common Factor Method

Factors of 3882

List of positive integer factors of 3882 that divides 3882 without a remainder.

1,2,3,6,647,1294,1941,3882

Factors of 4177

List of positive integer factors of 4177 that divides 4177 without a remainder.

1,4177

Greatest Common Factor

We found the factors 3882,4177 . The biggest common factor number is the GCF number.
So the greatest common factor 3882,4177 is 1.

Lets's calculate LCM of 745,9685

5 745, 9685
149 149, 1937
1, 13

∴ So the LCM of the given numbers is 5 x 149 x 1 x 13 = 9685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9685

Therefore, the GCF of Fractions 3882/745,4177/9685 is 1/9685

Least Common Multiple of 745,9685 with GCF Formula

Least Common Multiple of 745,9685 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 745,9685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,9685) = 745

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

GCF(745,9685) x common factors =745 x 1 = 745

LCM(745,9685) = ( 745 × 9685 ) / 745

LCM(745,9685) = 7215325 / 745

LCM(745,9685) = 9685


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 3882/745, 4177/9685

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 3882/745, 4177/9685?

Answer: GCF of Numerators as per given numbers 3882/745, 4177/9685 is

GCF of Numerators i.e. for 3882,4177 is 1

LCM of denominators i.e. for 745,9685 is 9685.

Thus, GCF of Fractions is 1/9685.Finally, GCF of Fractions for 3882/745, 4177/9685 is 1/9685.