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GCF of 923/22, 518/6122

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 923/22, 518/6122 i.e 1/67342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/22, 518/6122.

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 923/22,518/6122?

Given fractions are 923/22,518/6122

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 923/22,518/6122, numerators are 923,518

Denominators are 22,6122

The GCF of 923,518 is 1 .

LCM of 22,6122 is 67342.

The greatest common factor of 923/22,518/6122 = [GCF of 923,518]/[LCM of 22,6122]= 1/67342

Therefore, the GCF of 923/22,518/6122 is 1/67342.

Greatest Common Factor of 923,518

To find the highest common factor of 923,518, we have to find the factors of both numbers and list the highest common factor.

The factors of 923 are 1, 13, 71, 923

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The HCF of 923,518 is 1.

Lets's calculate GCF of 923,518

Greatest Common Factor (GCF) of 923,518 By Common Division

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

Greatest Common Factor of 923,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,518 By Matching Biggest Common Factor Method

Now, list down the factors of 923

:

1,13,71,923

Now, list down the factors of 518

:

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 923,518 . The biggest common factor number is the GCF number.
So the greatest common factor 923,518 is 1.

Lets's calculate LCM of 22,6122

Lowest Common Multiple of 22,6122 using Common Division

2 22, 6122
11, 3061

∴ So the LCM of the given numbers is 2 x 11 x 3061 = 67342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67342

Therefore, the GCF of Fractions 923/22,518/6122 is 1/67342

Least Common Multiple of 22,6122 with GCF Formula

Least Common Multiple of 22,6122 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 22,6122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,6122) = 2

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

GCF(22,6122) x common factors =2 x 1 = 2

LCM(22,6122) = ( 22 × 6122 ) / 2

LCM(22,6122) = 134684 / 2

LCM(22,6122) = 67342


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FAQs on GCF of Fractions of 923/22, 518/6122

1. What is the HCF of 923,518?

The HCF of 923,518 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 923/22, 518/6122?

Answer: GCF of Numerators as per given numbers 923/22, 518/6122 is

GCF of Numerators i.e. for 923,518 is 1

LCM of denominators i.e. for 22,6122 is 67342.

Thus, GCF of Fractions is 1/67342.Finally, GCF of Fractions for 923/22, 518/6122 is 1/67342.