How to Find GCF of 9546/897, 2108/9419?

GCF of 9546/897, 2108/9419

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 9546/897, 2108/9419 i.e 2/8448843 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9546/897, 2108/9419.

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 9546/897,2108/9419?

Given fractions are 9546/897,2108/9419

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 9546/897,2108/9419, numerators are 9546,2108

Denominators are 897,9419

The GCF of 9546,2108 is 2 .

LCM of 897,9419 is 8448843.

The greatest common factor of 9546/897,2108/9419 = [GCF of 9546,2108]/[LCM of 897,9419]= 2/8448843

Therefore, the GCF of 9546/897,2108/9419 is 2/8448843.

Greatest Common Factor of 9546,2108

To find the highest common factor of 9546,2108, we have to find the factors of both numbers and list the highest common factor.

The factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546

The factors of 2108 are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108

The HCF of 9546,2108 is 2.

Lets's calculate GCF of 9546,2108

Greatest Common Factor (GCF) of 9546,2108 By Common Division

2	9546, 2108
	4773, 1054

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

Greatest Common Factor of 9546,2108 By Matching Biggest Common Factor Method

Now, list down the factors of 9546

1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546

Now, list down the factors of 2108

1,2,4,17,31,34,62,68,124,527,1054,2108

Greatest Common Factor

We found the factors 9546,2108 . The biggest common factor number is the GCF number.
So the greatest common factor 9546,2108 is 2.

Lets's calculate LCM of 897,9419

Lowest Common Multiple of 897,9419 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8448843

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8448843

Therefore, the GCF of Fractions 9546/897,2108/9419 is 2/8448843

Least Common Multiple of 897,9419 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 897,9419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,9419) = 1

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

GCF(897,9419) x common factors =1 x 1 = 1

LCM(897,9419) = ( 897 × 9419 ) / 1

LCM(897,9419) = 8448843 / 1

LCM(897,9419) = 8448843

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9546/897, 2108/9419

1. What is the HCF of 9546,2108?

The HCF of 9546,2108 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 9546/897, 2108/9419?

Answer: GCF of Numerators as per given numbers 9546/897, 2108/9419 is

GCF of Numerators i.e. for 9546,2108 is 2

LCM of denominators i.e. for 897,9419 is 8448843.

Thus, GCF of Fractions is 2/8448843.Finally, GCF of Fractions for 9546/897, 2108/9419 is 2/8448843.