How to Find GCF of 804/28, 462/2098?

GCF of 804/28, 462/2098

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 804/28, 462/2098 i.e 6/29372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 804/28, 462/2098.

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 804/28,462/2098?

Given fractions are 804/28,462/2098

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 804/28,462/2098, numerators are 804,462

Denominators are 28,2098

The GCF of 804,462 is 6 .

LCM of 28,2098 is 29372.

The greatest common factor of 804/28,462/2098 = [GCF of 804,462]/[LCM of 28,2098]= 6/29372

Therefore, the GCF of 804/28,462/2098 is 6/29372.

Greatest Common Factor of 804,462

To find the highest common factor of 804,462, we have to find the factors of both numbers and list the highest common factor.

The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

The HCF of 804,462 is 6.

Lets's calculate GCF of 804,462

Greatest Common Factor (GCF) of 804,462 By Common Division

2	804, 462
3	402, 231
	134, 77

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 804,462 By Matching Biggest Common Factor Method

Now, list down the factors of 804

1,2,3,4,6,12,67,134,201,268,402,804

Now, list down the factors of 462

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 804,462 . The biggest common factor number is the GCF number.
So the greatest common factor 804,462 is 6.

Lets's calculate LCM of 28,2098

Lowest Common Multiple of 28,2098 using Common Division

2	28, 2098
	14, 1049

∴ So the LCM of the given numbers is 2 x 14 x 1049 = 29372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/29372

Therefore, the GCF of Fractions 804/28,462/2098 is 6/29372

Least Common Multiple of 28,2098 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 28,2098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,2098) = 2

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

GCF(28,2098) x common factors =2 x 1 = 2

LCM(28,2098) = ( 28 × 2098 ) / 2

LCM(28,2098) = 58744 / 2

LCM(28,2098) = 29372

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FAQs on GCF of Fractions of 804/28, 462/2098

1. What is the HCF of 804,462?

The HCF of 804,462 is 6

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 804/28, 462/2098?

Answer: GCF of Numerators as per given numbers 804/28, 462/2098 is

GCF of Numerators i.e. for 804,462 is 6

LCM of denominators i.e. for 28,2098 is 29372.

Thus, GCF of Fractions is 6/29372.Finally, GCF of Fractions for 804/28, 462/2098 is 6/29372.