How to Find GCF of 9110/444, 6164/1084?

GCF of 9110/444, 6164/1084

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 9110/444, 6164/1084 i.e 2/120324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9110/444, 6164/1084.

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 9110/444,6164/1084?

Given fractions are 9110/444,6164/1084

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 9110/444,6164/1084, numerators are 9110,6164

Denominators are 444,1084

The GCF of 9110,6164 is 2 .

LCM of 444,1084 is 120324.

The greatest common factor of 9110/444,6164/1084 = [GCF of 9110,6164]/[LCM of 444,1084]= 2/120324

Therefore, the GCF of 9110/444,6164/1084 is 2/120324.

Greatest Common Factor of 9110,6164

To find the highest common factor of 9110,6164, we have to find the factors of both numbers and list the highest common factor.

The factors of 9110 are 1, 2, 5, 10, 911, 1822, 4555, 9110

The factors of 6164 are 1, 2, 4, 23, 46, 67, 92, 134, 268, 1541, 3082, 6164

The HCF of 9110,6164 is 2.

Lets's calculate GCF of 9110,6164

Greatest Common Factor (GCF) of 9110,6164 By Common Division

2	9110, 6164
	4555, 3082

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

Greatest Common Factor of 9110,6164 By Matching Biggest Common Factor Method

Now, list down the factors of 9110

1,2,5,10,911,1822,4555,9110

Now, list down the factors of 6164

1,2,4,23,46,67,92,134,268,1541,3082,6164

Greatest Common Factor

We found the factors 9110,6164 . The biggest common factor number is the GCF number.
So the greatest common factor 9110,6164 is 2.

Lets's calculate LCM of 444,1084

Lowest Common Multiple of 444,1084 using Common Division

2	444, 1084
2	222, 542
	111, 271

∴ So the LCM of the given numbers is 2 x 2 x 111 x 271 = 120324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120324

Therefore, the GCF of Fractions 9110/444,6164/1084 is 2/120324

Least Common Multiple of 444,1084 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 444,1084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,1084) = 4

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

GCF(444,1084) x common factors =4 x 1 = 4

LCM(444,1084) = ( 444 × 1084 ) / 4

LCM(444,1084) = 481296 / 4

LCM(444,1084) = 120324

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FAQs on GCF of Fractions of 9110/444, 6164/1084

1. What is the HCF of 9110,6164?

The HCF of 9110,6164 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 9110/444, 6164/1084?

Answer: GCF of Numerators as per given numbers 9110/444, 6164/1084 is

GCF of Numerators i.e. for 9110,6164 is 2

LCM of denominators i.e. for 444,1084 is 120324.

Thus, GCF of Fractions is 2/120324.Finally, GCF of Fractions for 9110/444, 6164/1084 is 2/120324.