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GCF of 48/22, 846/10, 284/899

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 48/22, 846/10, 284/899 i.e 2/98890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/22, 846/10, 284/899.

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 48/22,846/10,284/899?

Given fractions are 48/22,846/10,284/899

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 48/22,846/10,284/899, numerators are 48,846,284

Denominators are 22,10,899

The GCF of 48,846,284 is 2 .

LCM of 22,10,899 is 98890.

The greatest common factor of 48/22,846/10,284/899 = [GCF of 48,846,284]/[LCM of 22,10,899]= 2/98890

Therefore, the GCF of 48/22,846/10,284/899 is 2/98890.

Greatest Common Factor of 48,846,284

To find the highest common factor of 48,846,284, we have to find the factors of both numbers and list the highest common factor.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The factors of 284 are 1, 2, 4, 71, 142, 284

The HCF of 48,846,284 is 2.

Lets's calculate GCF of 48,846,284

Greatest Common Factor (GCF) of 48,846,284 By Common Division

2 48, 846, 284
24, 423, 142

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

Greatest Common Factor of 48,846,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,846,284 By Matching Biggest Common Factor Method

Now, list down the factors of 48

:

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 846

:

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

Now, list down the factors of 284

:

1,2,4,71,142,284

Greatest Common Factor

We found the factors 48,846,284 . The biggest common factor number is the GCF number.
So the greatest common factor 48,846,284 is 2.


Lets's calculate LCM of 22,10,899

Lowest Common Multiple of 22,10,899 using Common Division

2 22, 10, 899
11, 5, 899

∴ So the LCM of the given numbers is 2 x 11 x 5 x 899 = 98890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98890

Therefore, the GCF of Fractions 48/22,846/10,284/899 is 2/98890

Least Common Multiple of 22,10,899 with GCF Formula

Least Common Multiple of 22,10,899 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 22,10,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,10,899) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,10,899) x common factors =1 x 2 = 2

LCM(22,10,899) = ( 22 × 10 × 899 ) / 2

LCM(22,10,899) = 197780 / 2

LCM(22,10,899) = 98890


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 48/22, 846/10, 284/899

1. What is the HCF of 48,846,284?

The HCF of 48,846,284 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 48/22, 846/10, 284/899?

Answer: GCF of Numerators as per given numbers 48/22, 846/10, 284/899 is

GCF of Numerators i.e. for 48,846,284 is 2

LCM of denominators i.e. for 22,10,899 is 98890.

Thus, GCF of Fractions is 2/98890.Finally, GCF of Fractions for 48/22, 846/10, 284/899 is 2/98890.