Greatest Common Factor of 70/55, 360/42, 210/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/55, 360/42, 210/418

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 70/55,360/42,210/418

Given fractions are 70/55,360/42,210/418

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 70,360,210

Greatest Common Factor of Numerators i.e. GCF of 70,360,210 is 10 .

LCM of Denominators means LCM of 55,42,418 as per the given fractions.

LCM of 55,42,418 is 43890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,360,210

GCF of Fractions 70/55,360/42,210/418 is 10/43890

2 70, 360, 210
5 35, 180, 105
7, 36, 21

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 70,360,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,360,210 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 70,360,210 . The biggest common factor number is the GCF number.
So the greatest common factor 70,360,210 is 10.

Lets's calculate LCM of 55,42,418

2 55, 42, 418
11 55, 21, 209
5, 21, 19

∴ So the LCM of the given numbers is 2 x 11 x 5 x 21 x 19 = 43890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/43890

Therefore, the GCF of Fractions 70/55,360/42,210/418 is 10/43890

Least Common Multiple of 55,42,418 with GCF Formula

Least Common Multiple of 55,42,418 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 55,42,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,42,418) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(55,42,418) x common factors =1 x 22 = 22

LCM(55,42,418) = ( 55 × 42 × 418 ) / 22

LCM(55,42,418) = 965580 / 22

LCM(55,42,418) = 43890


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 70/55, 360/42, 210/418

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 70/55, 360/42, 210/418?

Answer: GCF of Numerators as per given numbers 70/55, 360/42, 210/418 is

GCF of Numerators i.e. for 70,360,210 is 10

LCM of denominators i.e. for 55,42,418 is 43890.

Thus, GCF of Fractions is 10/43890.Finally, GCF of Fractions for 70/55, 360/42, 210/418 is 10/43890.