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GCF of 867/23, 627/9228

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 867/23, 627/9228 i.e 3/212244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/23, 627/9228.

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 867/23,627/9228?

Given fractions are 867/23,627/9228

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 867/23,627/9228, numerators are 867,627

Denominators are 23,9228

The GCF of 867,627 is 3 .

LCM of 23,9228 is 212244.

The greatest common factor of 867/23,627/9228 = [GCF of 867,627]/[LCM of 23,9228]= 3/212244

Therefore, the GCF of 867/23,627/9228 is 3/212244.

Greatest Common Factor of 867,627

To find the highest common factor of 867,627, we have to find the factors of both numbers and list the highest common factor.

The factors of 867 are 1, 3, 17, 51, 289, 867

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627

The HCF of 867,627 is 3.

Lets's calculate GCF of 867,627

Greatest Common Factor (GCF) of 867,627 By Common Division

3 867, 627
289, 209

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 867,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,627 By Matching Biggest Common Factor Method

Now, list down the factors of 867

:

1,3,17,51,289,867

Now, list down the factors of 627

:

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 867,627 . The biggest common factor number is the GCF number.
So the greatest common factor 867,627 is 3.

Lets's calculate LCM of 23,9228

Lowest Common Multiple of 23,9228 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 212244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/212244

Therefore, the GCF of Fractions 867/23,627/9228 is 3/212244

Least Common Multiple of 23,9228 with GCF Formula

Least Common Multiple of 23,9228 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 23,9228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,9228) = 1

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

GCF(23,9228) x common factors =1 x 1 = 1

LCM(23,9228) = ( 23 × 9228 ) / 1

LCM(23,9228) = 212244 / 1

LCM(23,9228) = 212244


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 867/23, 627/9228

1. What is the HCF of 867,627?

The HCF of 867,627 is 3

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 867/23, 627/9228?

Answer: GCF of Numerators as per given numbers 867/23, 627/9228 is

GCF of Numerators i.e. for 867,627 is 3

LCM of denominators i.e. for 23,9228 is 212244.

Thus, GCF of Fractions is 3/212244.Finally, GCF of Fractions for 867/23, 627/9228 is 3/212244.