How to Find GCF of 36/961, 49/397, 227/825?

GCF of 36/961, 49/397, 227/825

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 36/961, 49/397, 227/825 i.e 1/314751525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/961, 49/397, 227/825.

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 36/961,49/397,227/825?

Given fractions are 36/961,49/397,227/825

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 36/961,49/397,227/825, numerators are 36,49,227

Denominators are 961,397,825

The GCF of 36,49,227 is 1 .

LCM of 961,397,825 is 314751525.

The greatest common factor of 36/961,49/397,227/825 = [GCF of 36,49,227]/[LCM of 961,397,825]= 1/314751525

Therefore, the GCF of 36/961,49/397,227/825 is 1/314751525.

Greatest Common Factor of 36,49,227

To find the highest common factor of 36,49,227, we have to find the factors of both numbers and list the highest common factor.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 49 are 1, 7, 49

The factors of 227 are 1, 227

The HCF of 36,49,227 is 1.

Lets's calculate GCF of 36,49,227

Greatest Common Factor (GCF) of 36,49,227 By Common Division

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

Greatest Common Factor of 36,49,227 By Matching Biggest Common Factor Method

Now, list down the factors of 36

1,2,3,4,6,9,12,18,36

Now, list down the factors of 49

1,7,49

Now, list down the factors of 227

1,227

Greatest Common Factor

We found the factors 36,49,227 . The biggest common factor number is the GCF number.
So the greatest common factor 36,49,227 is 1.

Lets's calculate LCM of 961,397,825

Lowest Common Multiple of 961,397,825 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 314751525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/314751525

Therefore, the GCF of Fractions 36/961,49/397,227/825 is 1/314751525

Least Common Multiple of 961,397,825 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 961,397,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,397,825) = 1

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

GCF(961,397,825) x common factors =1 x 1 = 1

LCM(961,397,825) = ( 961 × 397 × 825 ) / 1

LCM(961,397,825) = 314751525 / 1

LCM(961,397,825) = 314751525

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 36/961, 49/397, 227/825

1. What is the HCF of 36,49,227?

The HCF of 36,49,227 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 36/961, 49/397, 227/825?

Answer: GCF of Numerators as per given numbers 36/961, 49/397, 227/825 is

GCF of Numerators i.e. for 36,49,227 is 1

LCM of denominators i.e. for 961,397,825 is 314751525.

Thus, GCF of Fractions is 1/314751525.Finally, GCF of Fractions for 36/961, 49/397, 227/825 is 1/314751525.