How to Find GCF of 878/42, 362/5146?

GCF of 878/42, 362/5146

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 878/42, 362/5146 i.e 2/108066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/42, 362/5146.

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 878/42,362/5146?

Given fractions are 878/42,362/5146

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 878/42,362/5146, numerators are 878,362

Denominators are 42,5146

The GCF of 878,362 is 2 .

LCM of 42,5146 is 108066.

The greatest common factor of 878/42,362/5146 = [GCF of 878,362]/[LCM of 42,5146]= 2/108066

Therefore, the GCF of 878/42,362/5146 is 2/108066.

Greatest Common Factor of 878,362

To find the highest common factor of 878,362, we have to find the factors of both numbers and list the highest common factor.

The factors of 878 are 1, 2, 439, 878

The factors of 362 are 1, 2, 181, 362

The HCF of 878,362 is 2.

Lets's calculate GCF of 878,362

Greatest Common Factor (GCF) of 878,362 By Common Division

2	878, 362
	439, 181

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

Greatest Common Factor of 878,362 By Matching Biggest Common Factor Method

Now, list down the factors of 878

1,2,439,878

Now, list down the factors of 362

1,2,181,362

Greatest Common Factor

We found the factors 878,362 . The biggest common factor number is the GCF number.
So the greatest common factor 878,362 is 2.

Lets's calculate LCM of 42,5146

Lowest Common Multiple of 42,5146 using Common Division

2	42, 5146
	21, 2573

∴ So the LCM of the given numbers is 2 x 21 x 2573 = 108066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108066

Therefore, the GCF of Fractions 878/42,362/5146 is 2/108066

Least Common Multiple of 42,5146 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 42,5146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,5146) = 2

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

GCF(42,5146) x common factors =2 x 1 = 2

LCM(42,5146) = ( 42 × 5146 ) / 2

LCM(42,5146) = 216132 / 2

LCM(42,5146) = 108066

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FAQs on GCF of Fractions of 878/42, 362/5146

1. What is the HCF of 878,362?

The HCF of 878,362 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 878/42, 362/5146?

Answer: GCF of Numerators as per given numbers 878/42, 362/5146 is

GCF of Numerators i.e. for 878,362 is 2

LCM of denominators i.e. for 42,5146 is 108066.

Thus, GCF of Fractions is 2/108066.Finally, GCF of Fractions for 878/42, 362/5146 is 2/108066.