Greatest Common Factor of 210/98, 870/25, 815/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/98, 870/25, 815/67

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 210/98,870/25,815/67

Given fractions are 210/98,870/25,815/67

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 210,870,815

Greatest Common Factor of Numerators i.e. GCF of 210,870,815 is 5 .

LCM of Denominators means LCM of 98,25,67 as per the given fractions.

LCM of 98,25,67 is 164150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,870,815

GCF of Fractions 210/98,870/25,815/67 is 5/164150

5 210, 870, 815
42, 174, 163

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

Greatest Common Factor of 210,870,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,870,815 By Matching Biggest Common Factor Method

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

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 210,870,815 . The biggest common factor number is the GCF number.
So the greatest common factor 210,870,815 is 5.

Lets's calculate LCM of 98,25,67

Given numbers has no common factors except 1. So, there LCM is their product i.e 164150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/164150

Therefore, the GCF of Fractions 210/98,870/25,815/67 is 5/164150

Least Common Multiple of 98,25,67 with GCF Formula

Least Common Multiple of 98,25,67 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 98,25,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,25,67) = 1

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

GCF(98,25,67) x common factors =1 x 1 = 1

LCM(98,25,67) = ( 98 × 25 × 67 ) / 1

LCM(98,25,67) = 164150 / 1

LCM(98,25,67) = 164150


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 210/98, 870/25, 815/67

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 210/98, 870/25, 815/67?

Answer: GCF of Numerators as per given numbers 210/98, 870/25, 815/67 is

GCF of Numerators i.e. for 210,870,815 is 5

LCM of denominators i.e. for 98,25,67 is 164150.

Thus, GCF of Fractions is 5/164150.Finally, GCF of Fractions for 210/98, 870/25, 815/67 is 5/164150.