How to Find GCF of 902/804, 630/484?

GCF of 902/804, 630/484

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 902/804, 630/484 i.e 2/97284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/804, 630/484.

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 902/804,630/484?

Given fractions are 902/804,630/484

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 902/804,630/484, numerators are 902,630

Denominators are 804,484

The GCF of 902,630 is 2 .

LCM of 804,484 is 97284.

The greatest common factor of 902/804,630/484 = [GCF of 902,630]/[LCM of 804,484]= 2/97284

Therefore, the GCF of 902/804,630/484 is 2/97284.

Greatest Common Factor of 902,630

To find the highest common factor of 902,630, we have to find the factors of both numbers and list the highest common factor.

The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902

The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

The HCF of 902,630 is 2.

Lets's calculate GCF of 902,630

Greatest Common Factor (GCF) of 902,630 By Common Division

2	902, 630
	451, 315

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

Greatest Common Factor of 902,630 By Matching Biggest Common Factor Method

Now, list down the factors of 902

1,2,11,22,41,82,451,902

Now, list down the factors of 630

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 902,630 . The biggest common factor number is the GCF number.
So the greatest common factor 902,630 is 2.

Lets's calculate LCM of 804,484

Lowest Common Multiple of 804,484 using Common Division

2	804, 484
2	402, 242
	201, 121

∴ So the LCM of the given numbers is 2 x 2 x 201 x 121 = 97284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97284

Therefore, the GCF of Fractions 902/804,630/484 is 2/97284

Least Common Multiple of 804,484 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 804,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,484) = 4

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

GCF(804,484) x common factors =4 x 1 = 4

LCM(804,484) = ( 804 × 484 ) / 4

LCM(804,484) = 389136 / 4

LCM(804,484) = 97284

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 902/804, 630/484

1. What is the HCF of 902,630?

The HCF of 902,630 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 902/804, 630/484?

Answer: GCF of Numerators as per given numbers 902/804, 630/484 is

GCF of Numerators i.e. for 902,630 is 2

LCM of denominators i.e. for 804,484 is 97284.

Thus, GCF of Fractions is 2/97284.Finally, GCF of Fractions for 902/804, 630/484 is 2/97284.