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GCF of 106/275, 754/127

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 106/275, 754/127 i.e 2/34925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 106/275, 754/127.

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 106/275,754/127?

Given fractions are 106/275,754/127

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 106/275,754/127, numerators are 106,754

Denominators are 275,127

The GCF of 106,754 is 2 .

LCM of 275,127 is 34925.

The greatest common factor of 106/275,754/127 = [GCF of 106,754]/[LCM of 275,127]= 2/34925

Therefore, the GCF of 106/275,754/127 is 2/34925.

Greatest Common Factor of 106,754

To find the highest common factor of 106,754, we have to find the factors of both numbers and list the highest common factor.

The factors of 106 are 1, 2, 53, 106

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

The HCF of 106,754 is 2.

Lets's calculate GCF of 106,754

Greatest Common Factor (GCF) of 106,754 By Common Division

2 106, 754
53, 377

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

Greatest Common Factor of 106,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,754 By Matching Biggest Common Factor Method

Now, list down the factors of 106

:

1,2,53,106

Now, list down the factors of 754

:

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

Greatest Common Factor

We found the factors 106,754 . The biggest common factor number is the GCF number.
So the greatest common factor 106,754 is 2.

Lets's calculate LCM of 275,127

Lowest Common Multiple of 275,127 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34925

Therefore, the GCF of Fractions 106/275,754/127 is 2/34925

Least Common Multiple of 275,127 with GCF Formula

Least Common Multiple of 275,127 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 275,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,127) = 1

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

GCF(275,127) x common factors =1 x 1 = 1

LCM(275,127) = ( 275 × 127 ) / 1

LCM(275,127) = 34925 / 1

LCM(275,127) = 34925


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FAQs on GCF of Fractions of 106/275, 754/127

1. What is the HCF of 106,754?

The HCF of 106,754 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 106/275, 754/127?

Answer: GCF of Numerators as per given numbers 106/275, 754/127 is

GCF of Numerators i.e. for 106,754 is 2

LCM of denominators i.e. for 275,127 is 34925.

Thus, GCF of Fractions is 2/34925.Finally, GCF of Fractions for 106/275, 754/127 is 2/34925.