Greatest Common Factor of 3/48, 67/70, 68/185, 999/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/48, 67/70, 68/185, 999/938

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 3/48,67/70,68/185,999/938

Given fractions are 3/48,67/70,68/185,999/938

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 3,67,68,999

Greatest Common Factor of Numerators i.e. GCF of 3,67,68,999 is 1 .

LCM of Denominators means LCM of 48,70,185,938 as per the given fractions.

LCM of 48,70,185,938 is 4164720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,67,68,999

GCF of Fractions 3/48,67/70,68/185,999/938 is 1/4164720

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

Greatest Common Factor of 3,67,68,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,67,68,999 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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 3,67,68,999 . The biggest common factor number is the GCF number.
So the greatest common factor 3,67,68,999 is 1.

Lets's calculate LCM of 48,70,185,938

2 48, 70, 185, 938
5 24, 35, 185, 469
7 24, 7, 37, 469
24, 1, 37, 67

∴ So the LCM of the given numbers is 2 x 5 x 7 x 24 x 1 x 37 x 67 = 4164720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4164720

Therefore, the GCF of Fractions 3/48,67/70,68/185,999/938 is 1/4164720

Least Common Multiple of 48,70,185,938 with GCF Formula

Least Common Multiple of 48,70,185,938 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 48,70,185,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,70,185,938) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(48,70,185,938) x common factors =1 x 140 = 140

LCM(48,70,185,938) = ( 48 × 70 × 185 × 938 ) / 140

LCM(48,70,185,938) = 583060800 / 140

LCM(48,70,185,938) = 4164720


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 3/48, 67/70, 68/185, 999/938

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 3/48, 67/70, 68/185, 999/938?

Answer: GCF of Numerators as per given numbers 3/48, 67/70, 68/185, 999/938 is

GCF of Numerators i.e. for 3,67,68,999 is 1

LCM of denominators i.e. for 48,70,185,938 is 4164720.

Thus, GCF of Fractions is 1/4164720.Finally, GCF of Fractions for 3/48, 67/70, 68/185, 999/938 is 1/4164720.