Greatest Common Factor of 75/19, 312/84, 603/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/19, 312/84, 603/760

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 75/19,312/84,603/760

Given fractions are 75/19,312/84,603/760

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 75,312,603

Greatest Common Factor of Numerators i.e. GCF of 75,312,603 is 3 .

LCM of Denominators means LCM of 19,84,760 as per the given fractions.

LCM of 19,84,760 is 15960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,312,603

GCF of Fractions 75/19,312/84,603/760 is 3/15960

3 75, 312, 603
25, 104, 201

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 75,312,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,312,603 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 75,312,603 . The biggest common factor number is the GCF number.
So the greatest common factor 75,312,603 is 3.

Lets's calculate LCM of 19,84,760

2 19, 84, 760
2 19, 42, 380
19 19, 21, 190
1, 21, 10

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 21 x 10 = 15960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15960

Therefore, the GCF of Fractions 75/19,312/84,603/760 is 3/15960

Least Common Multiple of 19,84,760 with GCF Formula

Least Common Multiple of 19,84,760 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 19,84,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,84,760) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(19,84,760) x common factors =1 x 76 = 76

LCM(19,84,760) = ( 19 × 84 × 760 ) / 76

LCM(19,84,760) = 1212960 / 76

LCM(19,84,760) = 15960


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 75/19, 312/84, 603/760

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 75/19, 312/84, 603/760?

Answer: GCF of Numerators as per given numbers 75/19, 312/84, 603/760 is

GCF of Numerators i.e. for 75,312,603 is 3

LCM of denominators i.e. for 19,84,760 is 15960.

Thus, GCF of Fractions is 3/15960.Finally, GCF of Fractions for 75/19, 312/84, 603/760 is 3/15960.