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GCF of 623/36, 631/828

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 623/36, 631/828 i.e 1/828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/36, 631/828.

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 623/36,631/828?

Given fractions are 623/36,631/828

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 623/36,631/828, numerators are 623,631

Denominators are 36,828

The GCF of 623,631 is 1 .

LCM of 36,828 is 828.

The greatest common factor of 623/36,631/828 = [GCF of 623,631]/[LCM of 36,828]= 1/828

Therefore, the GCF of 623/36,631/828 is 1/828.

Greatest Common Factor of 623,631

To find the highest common factor of 623,631, we have to find the factors of both numbers and list the highest common factor.

The factors of 623 are 1, 7, 89, 623

The factors of 631 are 1, 631

The HCF of 623,631 is 1.

Lets's calculate GCF of 623,631

Greatest Common Factor (GCF) of 623,631 By Common Division

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

Greatest Common Factor of 623,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,631 By Matching Biggest Common Factor Method

Now, list down the factors of 623

:

1,7,89,623

Now, list down the factors of 631

:

1,631

Greatest Common Factor

We found the factors 623,631 . The biggest common factor number is the GCF number.
So the greatest common factor 623,631 is 1.

Lets's calculate LCM of 36,828

Lowest Common Multiple of 36,828 using Common Division

2 36, 828
2 18, 414
3 9, 207
3 3, 69
1, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 23 = 828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828

Therefore, the GCF of Fractions 623/36,631/828 is 1/828

Least Common Multiple of 36,828 with GCF Formula

Least Common Multiple of 36,828 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 36,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,828) = 36

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

GCF(36,828) x common factors =36 x 1 = 36

LCM(36,828) = ( 36 × 828 ) / 36

LCM(36,828) = 29808 / 36

LCM(36,828) = 828


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 623/36, 631/828

1. What is the HCF of 623,631?

The HCF of 623,631 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 623/36, 631/828?

Answer: GCF of Numerators as per given numbers 623/36, 631/828 is

GCF of Numerators i.e. for 623,631 is 1

LCM of denominators i.e. for 36,828 is 828.

Thus, GCF of Fractions is 1/828.Finally, GCF of Fractions for 623/36, 631/828 is 1/828.