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 290/15, 167/210

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 290/15, 167/210 i.e 1/210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/15, 167/210.

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 290/15,167/210?

Given fractions are 290/15,167/210

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 290/15,167/210, numerators are 290,167

Denominators are 15,210

The GCF of 290,167 is 1 .

LCM of 15,210 is 210.

The greatest common factor of 290/15,167/210 = [GCF of 290,167]/[LCM of 15,210]= 1/210

Therefore, the GCF of 290/15,167/210 is 1/210.

Greatest Common Factor of 290,167

To find the highest common factor of 290,167, we have to find the factors of both numbers and list the highest common factor.

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290

The factors of 167 are 1, 167

The HCF of 290,167 is 1.

Lets's calculate GCF of 290,167

Greatest Common Factor (GCF) of 290,167 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 290,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,167 By Matching Biggest Common Factor Method

Now, list down the factors of 290

:

1,2,5,10,29,58,145,290

Now, list down the factors of 167

:

1,167

Greatest Common Factor

We found the factors 290,167 . The biggest common factor number is the GCF number.
So the greatest common factor 290,167 is 1.

Lets's calculate LCM of 15,210

Lowest Common Multiple of 15,210 using Common Division

3 15, 210
5 5, 70
1, 14

∴ So the LCM of the given numbers is 3 x 5 x 1 x 14 = 210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210

Therefore, the GCF of Fractions 290/15,167/210 is 1/210

Least Common Multiple of 15,210 with GCF Formula

Least Common Multiple of 15,210 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 15,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,210) = 15

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

GCF(15,210) x common factors =15 x 1 = 15

LCM(15,210) = ( 15 × 210 ) / 15

LCM(15,210) = 3150 / 15

LCM(15,210) = 210


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 290/15, 167/210

1. What is the HCF of 290,167?

The HCF of 290,167 is 1

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 290/15, 167/210?

Answer: GCF of Numerators as per given numbers 290/15, 167/210 is

GCF of Numerators i.e. for 290,167 is 1

LCM of denominators i.e. for 15,210 is 210.

Thus, GCF of Fractions is 1/210.Finally, GCF of Fractions for 290/15, 167/210 is 1/210.