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GCF of 528/27, 350/3201

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 528/27, 350/3201 i.e 2/28809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/27, 350/3201.

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 528/27,350/3201?

Given fractions are 528/27,350/3201

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 528/27,350/3201, numerators are 528,350

Denominators are 27,3201

The GCF of 528,350 is 2 .

LCM of 27,3201 is 28809.

The greatest common factor of 528/27,350/3201 = [GCF of 528,350]/[LCM of 27,3201]= 2/28809

Therefore, the GCF of 528/27,350/3201 is 2/28809.

Greatest Common Factor of 528,350

To find the highest common factor of 528,350, 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 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

The HCF of 528,350 is 2.

Lets's calculate GCF of 528,350

Greatest Common Factor (GCF) of 528,350 By Common Division

2 528, 350
264, 175

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

Greatest Common Factor of 528,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,350 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 350

:

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 528,350 . The biggest common factor number is the GCF number.
So the greatest common factor 528,350 is 2.


Lets's calculate LCM of 27,3201

Lowest Common Multiple of 27,3201 using Common Division

3 27, 3201
9, 1067

∴ So the LCM of the given numbers is 3 x 9 x 1067 = 28809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28809

Therefore, the GCF of Fractions 528/27,350/3201 is 2/28809

Least Common Multiple of 27,3201 with GCF Formula

Least Common Multiple of 27,3201 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 27,3201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,3201) = 3

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

GCF(27,3201) x common factors =3 x 1 = 3

LCM(27,3201) = ( 27 × 3201 ) / 3

LCM(27,3201) = 86427 / 3

LCM(27,3201) = 28809


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 528/27, 350/3201

1. What is the HCF of 528,350?

The HCF of 528,350 is 2

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 528/27, 350/3201?

Answer: GCF of Numerators as per given numbers 528/27, 350/3201 is

GCF of Numerators i.e. for 528,350 is 2

LCM of denominators i.e. for 27,3201 is 28809.

Thus, GCF of Fractions is 2/28809.Finally, GCF of Fractions for 528/27, 350/3201 is 2/28809.