Greatest Common Factor of 480/70, 390/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 480/70, 390/962

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 480/70,390/962

Given fractions are 480/70,390/962

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 480,390

Greatest Common Factor of Numerators i.e. GCF of 480,390 is 30 .

LCM of Denominators means LCM of 70,962 as per the given fractions.

LCM of 70,962 is 33670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 480,390

GCF of Fractions 480/70,390/962 is 30/33670

2 480, 390
3 240, 195
5 80, 65
16, 13

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 480,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,390 By Matching Biggest Common Factor Method

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

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 480,390 . The biggest common factor number is the GCF number.
So the greatest common factor 480,390 is 30.

Lets's calculate LCM of 70,962

2 70, 962
35, 481

∴ So the LCM of the given numbers is 2 x 35 x 481 = 33670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/33670

Therefore, the GCF of Fractions 480/70,390/962 is 30/33670

Least Common Multiple of 70,962 with GCF Formula

Least Common Multiple of 70,962 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 70,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,962) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(70,962) x common factors =2 x 1 = 2

LCM(70,962) = ( 70 × 962 ) / 2

LCM(70,962) = 67340 / 2

LCM(70,962) = 33670


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 480/70, 390/962

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 480/70, 390/962?

Answer: GCF of Numerators as per given numbers 480/70, 390/962 is

GCF of Numerators i.e. for 480,390 is 30

LCM of denominators i.e. for 70,962 is 33670.

Thus, GCF of Fractions is 30/33670.Finally, GCF of Fractions for 480/70, 390/962 is 30/33670.