Greatest Common Factor of 3808/545, 9528/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3808/545, 9528/686

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 3808/545,9528/686

Given fractions are 3808/545,9528/686

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 3808,9528

Greatest Common Factor of Numerators i.e. GCF of 3808,9528 is 8 .

LCM of Denominators means LCM of 545,686 as per the given fractions.

LCM of 545,686 is 373870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3808,9528

GCF of Fractions 3808/545,9528/686 is 8/373870

2 3808, 9528
2 1904, 4764
2 952, 2382
476, 1191

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3808,9528 By Matching Biggest Common Factor Method

Greatest Common Factor of 3808,9528 By Matching Biggest Common Factor Method

Factors of 3808

List of positive integer factors of 3808 that divides 3808 without a remainder.

1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528

Greatest Common Factor

We found the factors 3808,9528 . The biggest common factor number is the GCF number.
So the greatest common factor 3808,9528 is 8.

Lets's calculate LCM of 545,686

Given numbers has no common factors except 1. So, there LCM is their product i.e 373870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/373870

Therefore, the GCF of Fractions 3808/545,9528/686 is 8/373870

Least Common Multiple of 545,686 with GCF Formula

Least Common Multiple of 545,686 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 545,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,686) = 1

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

GCF(545,686) x common factors =1 x 1 = 1

LCM(545,686) = ( 545 × 686 ) / 1

LCM(545,686) = 373870 / 1

LCM(545,686) = 373870


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 3808/545, 9528/686

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 3808/545, 9528/686?

Answer: GCF of Numerators as per given numbers 3808/545, 9528/686 is

GCF of Numerators i.e. for 3808,9528 is 8

LCM of denominators i.e. for 545,686 is 373870.

Thus, GCF of Fractions is 8/373870.Finally, GCF of Fractions for 3808/545, 9528/686 is 8/373870.