Greatest Common Factor of 3/25, 66/48, 34/387, 480/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/25, 66/48, 34/387, 480/988

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 3/25,66/48,34/387,480/988

Given fractions are 3/25,66/48,34/387,480/988

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 3,66,34,480

Greatest Common Factor of Numerators i.e. GCF of 3,66,34,480 is 1 .

LCM of Denominators means LCM of 25,48,387,988 as per the given fractions.

LCM of 25,48,387,988 is 38235600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,66,34,480

GCF of Fractions 3/25,66/48,34/387,480/988 is 1/38235600

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

Greatest Common Factor of 3,66,34,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,66,34,480 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 3,66,34,480 . The biggest common factor number is the GCF number.
So the greatest common factor 3,66,34,480 is 1.

Lets's calculate LCM of 25,48,387,988

2 25, 48, 387, 988
2 25, 24, 387, 494
3 25, 12, 387, 247
25, 4, 129, 247

∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 4 x 129 x 247 = 38235600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38235600

Therefore, the GCF of Fractions 3/25,66/48,34/387,480/988 is 1/38235600

Least Common Multiple of 25,48,387,988 with GCF Formula

Least Common Multiple of 25,48,387,988 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 25,48,387,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,48,387,988) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(25,48,387,988) x common factors =1 x 12 = 12

LCM(25,48,387,988) = ( 25 × 48 × 387 × 988 ) / 12

LCM(25,48,387,988) = 458827200 / 12

LCM(25,48,387,988) = 38235600


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 3/25, 66/48, 34/387, 480/988

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 3/25, 66/48, 34/387, 480/988?

Answer: GCF of Numerators as per given numbers 3/25, 66/48, 34/387, 480/988 is

GCF of Numerators i.e. for 3,66,34,480 is 1

LCM of denominators i.e. for 25,48,387,988 is 38235600.

Thus, GCF of Fractions is 1/38235600.Finally, GCF of Fractions for 3/25, 66/48, 34/387, 480/988 is 1/38235600.