How to Find GCF of 37/23, 555/33, 134/977?

GCF of 37/23, 555/33, 134/977

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 37/23, 555/33, 134/977 i.e 1/741543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/23, 555/33, 134/977.

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 37/23,555/33,134/977?

Given fractions are 37/23,555/33,134/977

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 37/23,555/33,134/977, numerators are 37,555,134

Denominators are 23,33,977

The GCF of 37,555,134 is 1 .

LCM of 23,33,977 is 741543.

The greatest common factor of 37/23,555/33,134/977 = [GCF of 37,555,134]/[LCM of 23,33,977]= 1/741543

Therefore, the GCF of 37/23,555/33,134/977 is 1/741543.

Greatest Common Factor of 37,555,134

To find the highest common factor of 37,555,134, we have to find the factors of both numbers and list the highest common factor.

The factors of 37 are 1, 37

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555

The factors of 134 are 1, 2, 67, 134

The HCF of 37,555,134 is 1.

Lets's calculate GCF of 37,555,134

Greatest Common Factor (GCF) of 37,555,134 By Common Division

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

Greatest Common Factor of 37,555,134 By Matching Biggest Common Factor Method

Now, list down the factors of 37

1,37

Now, list down the factors of 555

1,3,5,15,37,111,185,555

Now, list down the factors of 134

1,2,67,134

Greatest Common Factor

We found the factors 37,555,134 . The biggest common factor number is the GCF number.
So the greatest common factor 37,555,134 is 1.

Lets's calculate LCM of 23,33,977

Lowest Common Multiple of 23,33,977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 741543

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/741543

Therefore, the GCF of Fractions 37/23,555/33,134/977 is 1/741543

Least Common Multiple of 23,33,977 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 23,33,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,33,977) = 1

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

GCF(23,33,977) x common factors =1 x 1 = 1

LCM(23,33,977) = ( 23 × 33 × 977 ) / 1

LCM(23,33,977) = 741543 / 1

LCM(23,33,977) = 741543

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FAQs on GCF of Fractions of 37/23, 555/33, 134/977

1. What is the HCF of 37,555,134?

The HCF of 37,555,134 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 37/23, 555/33, 134/977?

Answer: GCF of Numerators as per given numbers 37/23, 555/33, 134/977 is

GCF of Numerators i.e. for 37,555,134 is 1

LCM of denominators i.e. for 23,33,977 is 741543.

Thus, GCF of Fractions is 1/741543.Finally, GCF of Fractions for 37/23, 555/33, 134/977 is 1/741543.