How to Find GCF of 146/457, 2712/674?

GCF of 146/457, 2712/674

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 146/457, 2712/674 i.e 2/308018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/457, 2712/674.

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 146/457,2712/674?

Given fractions are 146/457,2712/674

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 146/457,2712/674, numerators are 146,2712

Denominators are 457,674

The GCF of 146,2712 is 2 .

LCM of 457,674 is 308018.

The greatest common factor of 146/457,2712/674 = [GCF of 146,2712]/[LCM of 457,674]= 2/308018

Therefore, the GCF of 146/457,2712/674 is 2/308018.

Greatest Common Factor of 146,2712

To find the highest common factor of 146,2712, we have to find the factors of both numbers and list the highest common factor.

The factors of 146 are 1, 2, 73, 146

The factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712

The HCF of 146,2712 is 2.

Lets's calculate GCF of 146,2712

Greatest Common Factor (GCF) of 146,2712 By Common Division

2	146, 2712
	73, 1356

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

Greatest Common Factor of 146,2712 By Matching Biggest Common Factor Method

Now, list down the factors of 146

1,2,73,146

Now, list down the factors of 2712

1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712

Greatest Common Factor

We found the factors 146,2712 . The biggest common factor number is the GCF number.
So the greatest common factor 146,2712 is 2.

Lets's calculate LCM of 457,674

Lowest Common Multiple of 457,674 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 308018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/308018

Therefore, the GCF of Fractions 146/457,2712/674 is 2/308018

Least Common Multiple of 457,674 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 457,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,674) = 1

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

GCF(457,674) x common factors =1 x 1 = 1

LCM(457,674) = ( 457 × 674 ) / 1

LCM(457,674) = 308018 / 1

LCM(457,674) = 308018

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FAQs on GCF of Fractions of 146/457, 2712/674

1. What is the HCF of 146,2712?

The HCF of 146,2712 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 146/457, 2712/674?

Answer: GCF of Numerators as per given numbers 146/457, 2712/674 is

GCF of Numerators i.e. for 146,2712 is 2

LCM of denominators i.e. for 457,674 is 308018.

Thus, GCF of Fractions is 2/308018.Finally, GCF of Fractions for 146/457, 2712/674 is 2/308018.