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 8873/238, 8518/622

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 8873/238, 8518/622 i.e 1/74018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8873/238, 8518/622.

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 8873/238,8518/622?

Given fractions are 8873/238,8518/622

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 8873/238,8518/622, numerators are 8873,8518

Denominators are 238,622

The GCF of 8873,8518 is 1 .

LCM of 238,622 is 74018.

The greatest common factor of 8873/238,8518/622 = [GCF of 8873,8518]/[LCM of 238,622]= 1/74018

Therefore, the GCF of 8873/238,8518/622 is 1/74018.

Greatest Common Factor of 8873,8518

To find the highest common factor of 8873,8518, we have to find the factors of both numbers and list the highest common factor.

The factors of 8873 are 1, 19, 467, 8873

The factors of 8518 are 1, 2, 4259, 8518

The HCF of 8873,8518 is 1.

Lets's calculate GCF of 8873,8518

Greatest Common Factor (GCF) of 8873,8518 By Common Division

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

Greatest Common Factor of 8873,8518 By Matching Biggest Common Factor Method

Greatest Common Factor of 8873,8518 By Matching Biggest Common Factor Method

Now, list down the factors of 8873

:

1,19,467,8873

Now, list down the factors of 8518

:

1,2,4259,8518

Greatest Common Factor

We found the factors 8873,8518 . The biggest common factor number is the GCF number.
So the greatest common factor 8873,8518 is 1.

Lets's calculate LCM of 238,622

Lowest Common Multiple of 238,622 using Common Division

2 238, 622
119, 311

∴ So the LCM of the given numbers is 2 x 119 x 311 = 74018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74018

Therefore, the GCF of Fractions 8873/238,8518/622 is 1/74018

Least Common Multiple of 238,622 with GCF Formula

Least Common Multiple of 238,622 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 238,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,622) = 2

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

GCF(238,622) x common factors =2 x 1 = 2

LCM(238,622) = ( 238 × 622 ) / 2

LCM(238,622) = 148036 / 2

LCM(238,622) = 74018


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8873/238, 8518/622

1. What is the HCF of 8873,8518?

The HCF of 8873,8518 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 8873/238, 8518/622?

Answer: GCF of Numerators as per given numbers 8873/238, 8518/622 is

GCF of Numerators i.e. for 8873,8518 is 1

LCM of denominators i.e. for 238,622 is 74018.

Thus, GCF of Fractions is 1/74018.Finally, GCF of Fractions for 8873/238, 8518/622 is 1/74018.