How to Find GCF of 146/674, 8142/873?

GCF of 146/674, 8142/873

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 146/674, 8142/873 i.e 2/588402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/674, 8142/873.

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 146/674,8142/873?

Given fractions are 146/674,8142/873

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 146/674,8142/873, numerators are 146,8142

Denominators are 674,873

The GCF of 146,8142 is 2 .

LCM of 674,873 is 588402.

The greatest common factor of 146/674,8142/873 = [GCF of 146,8142]/[LCM of 674,873]= 2/588402

Therefore, the GCF of 146/674,8142/873 is 2/588402.

Greatest Common Factor of 146,8142

To find the highest common factor of 146,8142, 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 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142

The HCF of 146,8142 is 2.

Lets's calculate GCF of 146,8142

Greatest Common Factor (GCF) of 146,8142 By Common Division

2	146, 8142
	73, 4071

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

Greatest Common Factor of 146,8142 By Matching Biggest Common Factor Method

Now, list down the factors of 146

1,2,73,146

Now, list down the factors of 8142

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Greatest Common Factor

We found the factors 146,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 146,8142 is 2.

Lets's calculate LCM of 674,873

Lowest Common Multiple of 674,873 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 588402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/588402

Therefore, the GCF of Fractions 146/674,8142/873 is 2/588402

Least Common Multiple of 674,873 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 674,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,873) = 1

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

GCF(674,873) x common factors =1 x 1 = 1

LCM(674,873) = ( 674 × 873 ) / 1

LCM(674,873) = 588402 / 1

LCM(674,873) = 588402

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FAQs on GCF of Fractions of 146/674, 8142/873

1. What is the HCF of 146,8142?

The HCF of 146,8142 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 146/674, 8142/873?

Answer: GCF of Numerators as per given numbers 146/674, 8142/873 is

GCF of Numerators i.e. for 146,8142 is 2

LCM of denominators i.e. for 674,873 is 588402.

Thus, GCF of Fractions is 2/588402.Finally, GCF of Fractions for 146/674, 8142/873 is 2/588402.