How to Find GCF of 812/445, 1508/9453?

GCF of 812/445, 1508/9453

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 812/445, 1508/9453 i.e 116/4206585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/445, 1508/9453.

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 812/445,1508/9453?

Given fractions are 812/445,1508/9453

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 812/445,1508/9453, numerators are 812,1508

Denominators are 445,9453

The GCF of 812,1508 is 116 .

LCM of 445,9453 is 4206585.

The greatest common factor of 812/445,1508/9453 = [GCF of 812,1508]/[LCM of 445,9453]= 116/4206585

Therefore, the GCF of 812/445,1508/9453 is 116/4206585.

Greatest Common Factor of 812,1508

To find the highest common factor of 812,1508, we have to find the factors of both numbers and list the highest common factor.

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508

The HCF of 812,1508 is 116.

Lets's calculate GCF of 812,1508

Greatest Common Factor (GCF) of 812,1508 By Common Division

2	812, 1508
2	406, 754
29	203, 377
	7, 13

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

Greatest Common Factor of 812,1508 By Matching Biggest Common Factor Method

Now, list down the factors of 812

1,2,4,7,14,28,29,58,116,203,406,812

Now, list down the factors of 1508

1,2,4,13,26,29,52,58,116,377,754,1508

Greatest Common Factor

We found the factors 812,1508 . The biggest common factor number is the GCF number.
So the greatest common factor 812,1508 is 116.

Lets's calculate LCM of 445,9453

Lowest Common Multiple of 445,9453 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4206585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/4206585

Therefore, the GCF of Fractions 812/445,1508/9453 is 116/4206585

Least Common Multiple of 445,9453 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 445,9453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,9453) = 1

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

GCF(445,9453) x common factors =1 x 1 = 1

LCM(445,9453) = ( 445 × 9453 ) / 1

LCM(445,9453) = 4206585 / 1

LCM(445,9453) = 4206585

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 812/445, 1508/9453

1. What is the HCF of 812,1508?

The HCF of 812,1508 is 116

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 812/445, 1508/9453?

Answer: GCF of Numerators as per given numbers 812/445, 1508/9453 is

GCF of Numerators i.e. for 812,1508 is 116

LCM of denominators i.e. for 445,9453 is 4206585.

Thus, GCF of Fractions is 116/4206585.Finally, GCF of Fractions for 812/445, 1508/9453 is 116/4206585.