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GCF of 134/127, 349/673

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 134/127, 349/673 i.e 1/85471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 134/127, 349/673.

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 134/127,349/673?

Given fractions are 134/127,349/673

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 134/127,349/673, numerators are 134,349

Denominators are 127,673

The GCF of 134,349 is 1 .

LCM of 127,673 is 85471.

The greatest common factor of 134/127,349/673 = [GCF of 134,349]/[LCM of 127,673]= 1/85471

Therefore, the GCF of 134/127,349/673 is 1/85471.

Greatest Common Factor of 134,349

To find the highest common factor of 134,349, 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 349 are 1, 349

The HCF of 134,349 is 1.

Lets's calculate GCF of 134,349

Greatest Common Factor (GCF) of 134,349 By Common Division

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

Greatest Common Factor of 134,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,349 By Matching Biggest Common Factor Method

Now, list down the factors of 134

:

1,2,67,134

Now, list down the factors of 349

:

1,349

Greatest Common Factor

We found the factors 134,349 . The biggest common factor number is the GCF number.
So the greatest common factor 134,349 is 1.

Lets's calculate LCM of 127,673

Lowest Common Multiple of 127,673 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 85471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85471

Therefore, the GCF of Fractions 134/127,349/673 is 1/85471

Least Common Multiple of 127,673 with GCF Formula

Least Common Multiple of 127,673 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 127,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,673) = 1

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

GCF(127,673) x common factors =1 x 1 = 1

LCM(127,673) = ( 127 × 673 ) / 1

LCM(127,673) = 85471 / 1

LCM(127,673) = 85471


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FAQs on GCF of Fractions of 134/127, 349/673

1. What is the HCF of 134,349?

The HCF of 134,349 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 134/127, 349/673?

Answer: GCF of Numerators as per given numbers 134/127, 349/673 is

GCF of Numerators i.e. for 134,349 is 1

LCM of denominators i.e. for 127,673 is 85471.

Thus, GCF of Fractions is 1/85471.Finally, GCF of Fractions for 134/127, 349/673 is 1/85471.