How to Find GCF of 9636/283, 1474/2912?

GCF of 9636/283, 1474/2912

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 9636/283, 1474/2912 i.e 22/824096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9636/283, 1474/2912.

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 9636/283,1474/2912?

Given fractions are 9636/283,1474/2912

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 9636/283,1474/2912, numerators are 9636,1474

Denominators are 283,2912

The GCF of 9636,1474 is 22 .

LCM of 283,2912 is 824096.

The greatest common factor of 9636/283,1474/2912 = [GCF of 9636,1474]/[LCM of 283,2912]= 22/824096

Therefore, the GCF of 9636/283,1474/2912 is 22/824096.

Greatest Common Factor of 9636,1474

To find the highest common factor of 9636,1474, we have to find the factors of both numbers and list the highest common factor.

The factors of 9636 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636

The factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474

The HCF of 9636,1474 is 22.

Lets's calculate GCF of 9636,1474

Greatest Common Factor (GCF) of 9636,1474 By Common Division

2	9636, 1474
11	4818, 737
	438, 67

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 9636,1474 By Matching Biggest Common Factor Method

Now, list down the factors of 9636

1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636

Now, list down the factors of 1474

1,2,11,22,67,134,737,1474

Greatest Common Factor

We found the factors 9636,1474 . The biggest common factor number is the GCF number.
So the greatest common factor 9636,1474 is 22.

Lets's calculate LCM of 283,2912

Lowest Common Multiple of 283,2912 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 824096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/824096

Therefore, the GCF of Fractions 9636/283,1474/2912 is 22/824096

Least Common Multiple of 283,2912 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 283,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,2912) = 1

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

GCF(283,2912) x common factors =1 x 1 = 1

LCM(283,2912) = ( 283 × 2912 ) / 1

LCM(283,2912) = 824096 / 1

LCM(283,2912) = 824096

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9636/283, 1474/2912

1. What is the HCF of 9636,1474?

The HCF of 9636,1474 is 22

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 9636/283, 1474/2912?

Answer: GCF of Numerators as per given numbers 9636/283, 1474/2912 is

GCF of Numerators i.e. for 9636,1474 is 22

LCM of denominators i.e. for 283,2912 is 824096.

Thus, GCF of Fractions is 22/824096.Finally, GCF of Fractions for 9636/283, 1474/2912 is 22/824096.