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 617/22, 865/118

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 617/22, 865/118 i.e 1/1298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 617/22, 865/118.

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 617/22,865/118?

Given fractions are 617/22,865/118

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 617/22,865/118, numerators are 617,865

Denominators are 22,118

The GCF of 617,865 is 1 .

LCM of 22,118 is 1298.

The greatest common factor of 617/22,865/118 = [GCF of 617,865]/[LCM of 22,118]= 1/1298

Therefore, the GCF of 617/22,865/118 is 1/1298.

Greatest Common Factor of 617,865

To find the highest common factor of 617,865, we have to find the factors of both numbers and list the highest common factor.

The factors of 617 are 1, 617

The factors of 865 are 1, 5, 173, 865

The HCF of 617,865 is 1.

Lets's calculate GCF of 617,865

Greatest Common Factor (GCF) of 617,865 By Common Division

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

Greatest Common Factor of 617,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,865 By Matching Biggest Common Factor Method

Now, list down the factors of 617

:

1,617

Now, list down the factors of 865

:

1,5,173,865

Greatest Common Factor

We found the factors 617,865 . The biggest common factor number is the GCF number.
So the greatest common factor 617,865 is 1.

Lets's calculate LCM of 22,118

Lowest Common Multiple of 22,118 using Common Division

2 22, 118
11, 59

∴ So the LCM of the given numbers is 2 x 11 x 59 = 1298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1298

Therefore, the GCF of Fractions 617/22,865/118 is 1/1298

Least Common Multiple of 22,118 with GCF Formula

Least Common Multiple of 22,118 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 22,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,118) = 2

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

GCF(22,118) x common factors =2 x 1 = 2

LCM(22,118) = ( 22 × 118 ) / 2

LCM(22,118) = 2596 / 2

LCM(22,118) = 1298


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 617/22, 865/118

1. What is the HCF of 617,865?

The HCF of 617,865 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 617/22, 865/118?

Answer: GCF of Numerators as per given numbers 617/22, 865/118 is

GCF of Numerators i.e. for 617,865 is 1

LCM of denominators i.e. for 22,118 is 1298.

Thus, GCF of Fractions is 1/1298.Finally, GCF of Fractions for 617/22, 865/118 is 1/1298.