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 117/206, 9869/710

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 117/206, 9869/710 i.e 1/73130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 117/206, 9869/710.

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 117/206,9869/710?

Given fractions are 117/206,9869/710

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 117/206,9869/710, numerators are 117,9869

Denominators are 206,710

The GCF of 117,9869 is 1 .

LCM of 206,710 is 73130.

The greatest common factor of 117/206,9869/710 = [GCF of 117,9869]/[LCM of 206,710]= 1/73130

Therefore, the GCF of 117/206,9869/710 is 1/73130.

Greatest Common Factor of 117,9869

To find the highest common factor of 117,9869, we have to find the factors of both numbers and list the highest common factor.

The factors of 117 are 1, 3, 9, 13, 39, 117

The factors of 9869 are 1, 71, 139, 9869

The HCF of 117,9869 is 1.

Lets's calculate GCF of 117,9869

Greatest Common Factor (GCF) of 117,9869 By Common Division

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

Greatest Common Factor of 117,9869 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,9869 By Matching Biggest Common Factor Method

Now, list down the factors of 117

:

1,3,9,13,39,117

Now, list down the factors of 9869

:

1,71,139,9869

Greatest Common Factor

We found the factors 117,9869 . The biggest common factor number is the GCF number.
So the greatest common factor 117,9869 is 1.

Lets's calculate LCM of 206,710

Lowest Common Multiple of 206,710 using Common Division

2 206, 710
103, 355

∴ So the LCM of the given numbers is 2 x 103 x 355 = 73130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73130

Therefore, the GCF of Fractions 117/206,9869/710 is 1/73130

Least Common Multiple of 206,710 with GCF Formula

Least Common Multiple of 206,710 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 206,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,710) = 2

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

GCF(206,710) x common factors =2 x 1 = 2

LCM(206,710) = ( 206 × 710 ) / 2

LCM(206,710) = 146260 / 2

LCM(206,710) = 73130


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 117/206, 9869/710

1. What is the HCF of 117,9869?

The HCF of 117,9869 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 117/206, 9869/710?

Answer: GCF of Numerators as per given numbers 117/206, 9869/710 is

GCF of Numerators i.e. for 117,9869 is 1

LCM of denominators i.e. for 206,710 is 73130.

Thus, GCF of Fractions is 1/73130.Finally, GCF of Fractions for 117/206, 9869/710 is 1/73130.