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GCF of 804/76, 820/752

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 804/76, 820/752 i.e 4/14288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 804/76, 820/752.

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 804/76,820/752?

Given fractions are 804/76,820/752

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 804/76,820/752, numerators are 804,820

Denominators are 76,752

The GCF of 804,820 is 4 .

LCM of 76,752 is 14288.

The greatest common factor of 804/76,820/752 = [GCF of 804,820]/[LCM of 76,752]= 4/14288

Therefore, the GCF of 804/76,820/752 is 4/14288.

Greatest Common Factor of 804,820

To find the highest common factor of 804,820, 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 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

The HCF of 804,820 is 4.

Lets's calculate GCF of 804,820

Greatest Common Factor (GCF) of 804,820 By Common Division

2 804, 820
2 402, 410
201, 205

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 804,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,820 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 820

:

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 804,820 . The biggest common factor number is the GCF number.
So the greatest common factor 804,820 is 4.

Lets's calculate LCM of 76,752

Lowest Common Multiple of 76,752 using Common Division

2 76, 752
2 38, 376
19, 188

∴ So the LCM of the given numbers is 2 x 2 x 19 x 188 = 14288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14288

Therefore, the GCF of Fractions 804/76,820/752 is 4/14288

Least Common Multiple of 76,752 with GCF Formula

Least Common Multiple of 76,752 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 76,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,752) = 4

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

GCF(76,752) x common factors =4 x 1 = 4

LCM(76,752) = ( 76 × 752 ) / 4

LCM(76,752) = 57152 / 4

LCM(76,752) = 14288


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FAQs on GCF of Fractions of 804/76, 820/752

1. What is the HCF of 804,820?

The HCF of 804,820 is 4

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 804/76, 820/752?

Answer: GCF of Numerators as per given numbers 804/76, 820/752 is

GCF of Numerators i.e. for 804,820 is 4

LCM of denominators i.e. for 76,752 is 14288.

Thus, GCF of Fractions is 4/14288.Finally, GCF of Fractions for 804/76, 820/752 is 4/14288.