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GCF of 924/16, 743/684

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 924/16, 743/684 i.e 1/2736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/16, 743/684.

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 924/16,743/684?

Given fractions are 924/16,743/684

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 924/16,743/684, numerators are 924,743

Denominators are 16,684

The GCF of 924,743 is 1 .

LCM of 16,684 is 2736.

The greatest common factor of 924/16,743/684 = [GCF of 924,743]/[LCM of 16,684]= 1/2736

Therefore, the GCF of 924/16,743/684 is 1/2736.

Greatest Common Factor of 924,743

To find the highest common factor of 924,743, we have to find the factors of both numbers and list the highest common factor.

The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

The factors of 743 are 1, 743

The HCF of 924,743 is 1.

Lets's calculate GCF of 924,743

Greatest Common Factor (GCF) of 924,743 By Common Division

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

Greatest Common Factor of 924,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,743 By Matching Biggest Common Factor Method

Now, list down the factors of 924

:

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Now, list down the factors of 743

:

1,743

Greatest Common Factor

We found the factors 924,743 . The biggest common factor number is the GCF number.
So the greatest common factor 924,743 is 1.

Lets's calculate LCM of 16,684

Lowest Common Multiple of 16,684 using Common Division

2 16, 684
2 8, 342
4, 171

∴ So the LCM of the given numbers is 2 x 2 x 4 x 171 = 2736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2736

Therefore, the GCF of Fractions 924/16,743/684 is 1/2736

Least Common Multiple of 16,684 with GCF Formula

Least Common Multiple of 16,684 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 16,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,684) = 4

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

GCF(16,684) x common factors =4 x 1 = 4

LCM(16,684) = ( 16 × 684 ) / 4

LCM(16,684) = 10944 / 4

LCM(16,684) = 2736


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FAQs on GCF of Fractions of 924/16, 743/684

1. What is the HCF of 924,743?

The HCF of 924,743 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 924/16, 743/684?

Answer: GCF of Numerators as per given numbers 924/16, 743/684 is

GCF of Numerators i.e. for 924,743 is 1

LCM of denominators i.e. for 16,684 is 2736.

Thus, GCF of Fractions is 1/2736.Finally, GCF of Fractions for 924/16, 743/684 is 1/2736.