How to Find GCF of 11/901, 35/183, 527/892?

GCF of 11/901, 35/183, 527/892

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 11/901, 35/183, 527/892 i.e 1/147075636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/901, 35/183, 527/892.

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 11/901,35/183,527/892?

Given fractions are 11/901,35/183,527/892

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 11/901,35/183,527/892, numerators are 11,35,527

Denominators are 901,183,892

The GCF of 11,35,527 is 1 .

LCM of 901,183,892 is 147075636.

The greatest common factor of 11/901,35/183,527/892 = [GCF of 11,35,527]/[LCM of 901,183,892]= 1/147075636

Therefore, the GCF of 11/901,35/183,527/892 is 1/147075636.

Greatest Common Factor of 11,35,527

To find the highest common factor of 11,35,527, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 35 are 1, 5, 7, 35

The factors of 527 are 1, 17, 31, 527

The HCF of 11,35,527 is 1.

Lets's calculate GCF of 11,35,527

Greatest Common Factor (GCF) of 11,35,527 By Common Division

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

Greatest Common Factor of 11,35,527 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 527

1,17,31,527

Greatest Common Factor

We found the factors 11,35,527 . The biggest common factor number is the GCF number.
So the greatest common factor 11,35,527 is 1.

Lets's calculate LCM of 901,183,892

Lowest Common Multiple of 901,183,892 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 147075636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147075636

Therefore, the GCF of Fractions 11/901,35/183,527/892 is 1/147075636

Least Common Multiple of 901,183,892 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 901,183,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,183,892) = 1

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

GCF(901,183,892) x common factors =1 x 1 = 1

LCM(901,183,892) = ( 901 × 183 × 892 ) / 1

LCM(901,183,892) = 147075636 / 1

LCM(901,183,892) = 147075636

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 11/901, 35/183, 527/892

1. What is the HCF of 11,35,527?

The HCF of 11,35,527 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 11/901, 35/183, 527/892?

Answer: GCF of Numerators as per given numbers 11/901, 35/183, 527/892 is

GCF of Numerators i.e. for 11,35,527 is 1

LCM of denominators i.e. for 901,183,892 is 147075636.

Thus, GCF of Fractions is 1/147075636.Finally, GCF of Fractions for 11/901, 35/183, 527/892 is 1/147075636.