Greatest Common Factor of 980/69, 300/42, 465/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/69, 300/42, 465/496

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 980/69,300/42,465/496

Given fractions are 980/69,300/42,465/496

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 980,300,465

Greatest Common Factor of Numerators i.e. GCF of 980,300,465 is 5 .

LCM of Denominators means LCM of 69,42,496 as per the given fractions.

LCM of 69,42,496 is 239568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,300,465

GCF of Fractions 980/69,300/42,465/496 is 5/239568

5 980, 300, 465
196, 60, 93

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 980,300,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,300,465 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 980,300,465 . The biggest common factor number is the GCF number.
So the greatest common factor 980,300,465 is 5.

Lets's calculate LCM of 69,42,496

2 69, 42, 496
3 69, 21, 248
23, 7, 248

∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 248 = 239568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/239568

Therefore, the GCF of Fractions 980/69,300/42,465/496 is 5/239568

Least Common Multiple of 69,42,496 with GCF Formula

Least Common Multiple of 69,42,496 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 69,42,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,42,496) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(69,42,496) x common factors =1 x 6 = 6

LCM(69,42,496) = ( 69 × 42 × 496 ) / 6

LCM(69,42,496) = 1437408 / 6

LCM(69,42,496) = 239568


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 980/69, 300/42, 465/496

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 980/69, 300/42, 465/496?

Answer: GCF of Numerators as per given numbers 980/69, 300/42, 465/496 is

GCF of Numerators i.e. for 980,300,465 is 5

LCM of denominators i.e. for 69,42,496 is 239568.

Thus, GCF of Fractions is 5/239568.Finally, GCF of Fractions for 980/69, 300/42, 465/496 is 5/239568.