LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 555/80, 210/870

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 555/80, 210/870 i.e 15/6960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/80, 210/870.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 555/80,210/870?

Given fractions are 555/80,210/870

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 555/80,210/870, numerators are 555,210

Denominators are 80,870

The GCF of 555,210 is 15 .

LCM of 80,870 is 6960.

The greatest common factor of 555/80,210/870 = [GCF of 555,210]/[LCM of 80,870]= 15/6960

Therefore, the GCF of 555/80,210/870 is 15/6960.

Greatest Common Factor of 555,210

To find the highest common factor of 555,210, we have to find the factors of both numbers and list the highest common factor.

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555

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

The HCF of 555,210 is 15.

Lets's calculate GCF of 555,210

Greatest Common Factor (GCF) of 555,210 By Common Division

3 555, 210
5 185, 70
37, 14

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 555,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,210 By Matching Biggest Common Factor Method

Now, list down the factors of 555

:

1,3,5,15,37,111,185,555

Now, list down the factors of 210

:

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

Greatest Common Factor

We found the factors 555,210 . The biggest common factor number is the GCF number.
So the greatest common factor 555,210 is 15.

Lets's calculate LCM of 80,870

Lowest Common Multiple of 80,870 using Common Division

2 80, 870
5 40, 435
8, 87

∴ So the LCM of the given numbers is 2 x 5 x 8 x 87 = 6960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/6960

Therefore, the GCF of Fractions 555/80,210/870 is 15/6960

Least Common Multiple of 80,870 with GCF Formula

Least Common Multiple of 80,870 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 80,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,870) = 10

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

GCF(80,870) x common factors =10 x 1 = 10

LCM(80,870) = ( 80 × 870 ) / 10

LCM(80,870) = 69600 / 10

LCM(80,870) = 6960


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 555/80, 210/870

1. What is the HCF of 555,210?

The HCF of 555,210 is 15

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 555/80, 210/870?

Answer: GCF of Numerators as per given numbers 555/80, 210/870 is

GCF of Numerators i.e. for 555,210 is 15

LCM of denominators i.e. for 80,870 is 6960.

Thus, GCF of Fractions is 15/6960.Finally, GCF of Fractions for 555/80, 210/870 is 15/6960.