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GCF of 878/43, 846/728

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 878/43, 846/728 i.e 2/31304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/43, 846/728.

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 878/43,846/728?

Given fractions are 878/43,846/728

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 878/43,846/728, numerators are 878,846

Denominators are 43,728

The GCF of 878,846 is 2 .

LCM of 43,728 is 31304.

The greatest common factor of 878/43,846/728 = [GCF of 878,846]/[LCM of 43,728]= 2/31304

Therefore, the GCF of 878/43,846/728 is 2/31304.

Greatest Common Factor of 878,846

To find the highest common factor of 878,846, 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 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The HCF of 878,846 is 2.

Lets's calculate GCF of 878,846

Greatest Common Factor (GCF) of 878,846 By Common Division

2 878, 846
439, 423

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

Greatest Common Factor of 878,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,846 By Matching Biggest Common Factor Method

Now, list down the factors of 878

:

1,2,439,878

Now, list down the factors of 846

:

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 878,846 . The biggest common factor number is the GCF number.
So the greatest common factor 878,846 is 2.

Lets's calculate LCM of 43,728

Lowest Common Multiple of 43,728 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 31304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31304

Therefore, the GCF of Fractions 878/43,846/728 is 2/31304

Least Common Multiple of 43,728 with GCF Formula

Least Common Multiple of 43,728 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 43,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,728) = 1

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

GCF(43,728) x common factors =1 x 1 = 1

LCM(43,728) = ( 43 × 728 ) / 1

LCM(43,728) = 31304 / 1

LCM(43,728) = 31304


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FAQs on GCF of Fractions of 878/43, 846/728

1. What is the HCF of 878,846?

The HCF of 878,846 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 878/43, 846/728?

Answer: GCF of Numerators as per given numbers 878/43, 846/728 is

GCF of Numerators i.e. for 878,846 is 2

LCM of denominators i.e. for 43,728 is 31304.

Thus, GCF of Fractions is 2/31304.Finally, GCF of Fractions for 878/43, 846/728 is 2/31304.