Greatest Common Factor of 30/714, 120/662, 987/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/714, 120/662, 987/314

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 30/714,120/662,987/314

Given fractions are 30/714,120/662,987/314

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 30,120,987

Greatest Common Factor of Numerators i.e. GCF of 30,120,987 is 3 .

LCM of Denominators means LCM of 714,662,314 as per the given fractions.

LCM of 714,662,314 is 37104438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,120,987

GCF of Fractions 30/714,120/662,987/314 is 3/37104438

3 30, 120, 987
10, 40, 329

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

Greatest Common Factor of 30,120,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,120,987 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 30,120,987 . The biggest common factor number is the GCF number.
So the greatest common factor 30,120,987 is 3.

Lets's calculate LCM of 714,662,314

2 714, 662, 314
357, 331, 157

∴ So the LCM of the given numbers is 2 x 357 x 331 x 157 = 37104438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/37104438

Therefore, the GCF of Fractions 30/714,120/662,987/314 is 3/37104438

Least Common Multiple of 714,662,314 with GCF Formula

Least Common Multiple of 714,662,314 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 714,662,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,662,314) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(714,662,314) x common factors =2 x 2 = 4

LCM(714,662,314) = ( 714 × 662 × 314 ) / 4

LCM(714,662,314) = 148417752 / 4

LCM(714,662,314) = 37104438


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 30/714, 120/662, 987/314

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 30/714, 120/662, 987/314?

Answer: GCF of Numerators as per given numbers 30/714, 120/662, 987/314 is

GCF of Numerators i.e. for 30,120,987 is 3

LCM of denominators i.e. for 714,662,314 is 37104438.

Thus, GCF of Fractions is 3/37104438.Finally, GCF of Fractions for 30/714, 120/662, 987/314 is 3/37104438.