How to Find GCF of 528/22, 464/667?

GCF of 528/22, 464/667

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 528/22, 464/667 i.e 16/14674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/22, 464/667.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 528/22,464/667?

Given fractions are 528/22,464/667

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 528/22,464/667, numerators are 528,464

Denominators are 22,667

The GCF of 528,464 is 16 .

LCM of 22,667 is 14674.

The greatest common factor of 528/22,464/667 = [GCF of 528,464]/[LCM of 22,667]= 16/14674

Therefore, the GCF of 528/22,464/667 is 16/14674.

Greatest Common Factor of 528,464

To find the highest common factor of 528,464, we have to find the factors of both numbers and list the highest common factor.

The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

The HCF of 528,464 is 16.

Lets's calculate GCF of 528,464

Greatest Common Factor (GCF) of 528,464 By Common Division

2	528, 464
2	264, 232
2	132, 116
2	66, 58
	33, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 528,464 By Matching Biggest Common Factor Method

Now, list down the factors of 528

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Now, list down the factors of 464

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 528,464 . The biggest common factor number is the GCF number.
So the greatest common factor 528,464 is 16.

Lets's calculate LCM of 22,667

Lowest Common Multiple of 22,667 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/14674

Therefore, the GCF of Fractions 528/22,464/667 is 16/14674

Least Common Multiple of 22,667 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 22,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,667) = 1

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

GCF(22,667) x common factors =1 x 1 = 1

LCM(22,667) = ( 22 × 667 ) / 1

LCM(22,667) = 14674 / 1

LCM(22,667) = 14674

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FAQs on GCF of Fractions of 528/22, 464/667

1. What is the HCF of 528,464?

The HCF of 528,464 is 16

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 528/22, 464/667?

Answer: GCF of Numerators as per given numbers 528/22, 464/667 is

GCF of Numerators i.e. for 528,464 is 16

LCM of denominators i.e. for 22,667 is 14674.

Thus, GCF of Fractions is 16/14674.Finally, GCF of Fractions for 528/22, 464/667 is 16/14674.