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GCF of 134/36, 754/661

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 134/36, 754/661 i.e 2/23796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 134/36, 754/661.

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 134/36,754/661?

Given fractions are 134/36,754/661

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 134/36,754/661, numerators are 134,754

Denominators are 36,661

The GCF of 134,754 is 2 .

LCM of 36,661 is 23796.

The greatest common factor of 134/36,754/661 = [GCF of 134,754]/[LCM of 36,661]= 2/23796

Therefore, the GCF of 134/36,754/661 is 2/23796.

Greatest Common Factor of 134,754

To find the highest common factor of 134,754, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754

The HCF of 134,754 is 2.

Lets's calculate GCF of 134,754

Greatest Common Factor (GCF) of 134,754 By Common Division

2 134, 754
67, 377

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

Greatest Common Factor of 134,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,754 By Matching Biggest Common Factor Method

Now, list down the factors of 134

:

1,2,67,134

Now, list down the factors of 754

:

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 134,754 . The biggest common factor number is the GCF number.
So the greatest common factor 134,754 is 2.

Lets's calculate LCM of 36,661

Lowest Common Multiple of 36,661 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23796

Therefore, the GCF of Fractions 134/36,754/661 is 2/23796

Least Common Multiple of 36,661 with GCF Formula

Least Common Multiple of 36,661 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 36,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,661) = 1

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

GCF(36,661) x common factors =1 x 1 = 1

LCM(36,661) = ( 36 × 661 ) / 1

LCM(36,661) = 23796 / 1

LCM(36,661) = 23796


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FAQs on GCF of Fractions of 134/36, 754/661

1. What is the HCF of 134,754?

The HCF of 134,754 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 134/36, 754/661?

Answer: GCF of Numerators as per given numbers 134/36, 754/661 is

GCF of Numerators i.e. for 134,754 is 2

LCM of denominators i.e. for 36,661 is 23796.

Thus, GCF of Fractions is 2/23796.Finally, GCF of Fractions for 134/36, 754/661 is 2/23796.