How to Find GCF of 9200/417, 3923/3051?

GCF of 9200/417, 3923/3051

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 9200/417, 3923/3051 i.e 1/424089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9200/417, 3923/3051.

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 9200/417,3923/3051?

Given fractions are 9200/417,3923/3051

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 9200/417,3923/3051, numerators are 9200,3923

Denominators are 417,3051

The GCF of 9200,3923 is 1 .

LCM of 417,3051 is 424089.

The greatest common factor of 9200/417,3923/3051 = [GCF of 9200,3923]/[LCM of 417,3051]= 1/424089

Therefore, the GCF of 9200/417,3923/3051 is 1/424089.

Greatest Common Factor of 9200,3923

To find the highest common factor of 9200,3923, we have to find the factors of both numbers and list the highest common factor.

The factors of 9200 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600, 9200

The factors of 3923 are 1, 3923

The HCF of 9200,3923 is 1.

Lets's calculate GCF of 9200,3923

Greatest Common Factor (GCF) of 9200,3923 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9200,3923 By Matching Biggest Common Factor Method

Now, list down the factors of 9200

1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200

Now, list down the factors of 3923

1,3923

Greatest Common Factor

We found the factors 9200,3923 . The biggest common factor number is the GCF number.
So the greatest common factor 9200,3923 is 1.

Lets's calculate LCM of 417,3051

Lowest Common Multiple of 417,3051 using Common Division

3	417, 3051
	139, 1017

∴ So the LCM of the given numbers is 3 x 139 x 1017 = 424089

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424089

Therefore, the GCF of Fractions 9200/417,3923/3051 is 1/424089

Least Common Multiple of 417,3051 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 417,3051 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,3051) = 3

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

GCF(417,3051) x common factors =3 x 1 = 3

LCM(417,3051) = ( 417 × 3051 ) / 3

LCM(417,3051) = 1272267 / 3

LCM(417,3051) = 424089

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9200/417, 3923/3051

1. What is the HCF of 9200,3923?

The HCF of 9200,3923 is 1

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 9200/417, 3923/3051?

Answer: GCF of Numerators as per given numbers 9200/417, 3923/3051 is

GCF of Numerators i.e. for 9200,3923 is 1

LCM of denominators i.e. for 417,3051 is 424089.

Thus, GCF of Fractions is 1/424089.Finally, GCF of Fractions for 9200/417, 3923/3051 is 1/424089.