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GCF of 924/30, 281/512

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 924/30, 281/512 i.e 1/7680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/30, 281/512.

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 924/30,281/512?

Given fractions are 924/30,281/512

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 924/30,281/512, numerators are 924,281

Denominators are 30,512

The GCF of 924,281 is 1 .

LCM of 30,512 is 7680.

The greatest common factor of 924/30,281/512 = [GCF of 924,281]/[LCM of 30,512]= 1/7680

Therefore, the GCF of 924/30,281/512 is 1/7680.

Greatest Common Factor of 924,281

To find the highest common factor of 924,281, 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 281 are 1, 281

The HCF of 924,281 is 1.

Lets's calculate GCF of 924,281

Greatest Common Factor (GCF) of 924,281 By Common Division

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

Greatest Common Factor of 924,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,281 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 281

:

1,281

Greatest Common Factor

We found the factors 924,281 . The biggest common factor number is the GCF number.
So the greatest common factor 924,281 is 1.

Lets's calculate LCM of 30,512

Lowest Common Multiple of 30,512 using Common Division

2 30, 512
15, 256

∴ So the LCM of the given numbers is 2 x 15 x 256 = 7680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7680

Therefore, the GCF of Fractions 924/30,281/512 is 1/7680

Least Common Multiple of 30,512 with GCF Formula

Least Common Multiple of 30,512 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 30,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,512) = 2

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

GCF(30,512) x common factors =2 x 1 = 2

LCM(30,512) = ( 30 × 512 ) / 2

LCM(30,512) = 15360 / 2

LCM(30,512) = 7680


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FAQs on GCF of Fractions of 924/30, 281/512

1. What is the HCF of 924,281?

The HCF of 924,281 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 924/30, 281/512?

Answer: GCF of Numerators as per given numbers 924/30, 281/512 is

GCF of Numerators i.e. for 924,281 is 1

LCM of denominators i.e. for 30,512 is 7680.

Thus, GCF of Fractions is 1/7680.Finally, GCF of Fractions for 924/30, 281/512 is 1/7680.