Greatest Common Factor of 368/12, 701/73, 480/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 368/12, 701/73, 480/980

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 368/12,701/73,480/980

Given fractions are 368/12,701/73,480/980

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 368,701,480

Greatest Common Factor of Numerators i.e. GCF of 368,701,480 is 1 .

LCM of Denominators means LCM of 12,73,980 as per the given fractions.

LCM of 12,73,980 is 214620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 368,701,480

GCF of Fractions 368/12,701/73,480/980 is 1/214620

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

Greatest Common Factor of 368,701,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,701,480 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

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 368,701,480 . The biggest common factor number is the GCF number.
So the greatest common factor 368,701,480 is 1.

Lets's calculate LCM of 12,73,980

2 12, 73, 980
2 6, 73, 490
3, 73, 245

∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 245 = 214620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214620

Therefore, the GCF of Fractions 368/12,701/73,480/980 is 1/214620

Least Common Multiple of 12,73,980 with GCF Formula

Least Common Multiple of 12,73,980 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 12,73,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,73,980) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,73,980) x common factors =1 x 4 = 4

LCM(12,73,980) = ( 12 × 73 × 980 ) / 4

LCM(12,73,980) = 858480 / 4

LCM(12,73,980) = 214620


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 368/12, 701/73, 480/980

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 368/12, 701/73, 480/980?

Answer: GCF of Numerators as per given numbers 368/12, 701/73, 480/980 is

GCF of Numerators i.e. for 368,701,480 is 1

LCM of denominators i.e. for 12,73,980 is 214620.

Thus, GCF of Fractions is 1/214620.Finally, GCF of Fractions for 368/12, 701/73, 480/980 is 1/214620.