How to Find GCF of 9210/234, 9104/146?

GCF of 9210/234, 9104/146

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 9210/234, 9104/146 i.e 2/17082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9210/234, 9104/146.

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 9210/234,9104/146?

Given fractions are 9210/234,9104/146

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 9210/234,9104/146, numerators are 9210,9104

Denominators are 234,146

The GCF of 9210,9104 is 2 .

LCM of 234,146 is 17082.

The greatest common factor of 9210/234,9104/146 = [GCF of 9210,9104]/[LCM of 234,146]= 2/17082

Therefore, the GCF of 9210/234,9104/146 is 2/17082.

Greatest Common Factor of 9210,9104

To find the highest common factor of 9210,9104, we have to find the factors of both numbers and list the highest common factor.

The factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210

The factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104

The HCF of 9210,9104 is 2.

Lets's calculate GCF of 9210,9104

Greatest Common Factor (GCF) of 9210,9104 By Common Division

2	9210, 9104
	4605, 4552

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

Greatest Common Factor of 9210,9104 By Matching Biggest Common Factor Method

Now, list down the factors of 9210

1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210

Now, list down the factors of 9104

1,2,4,8,16,569,1138,2276,4552,9104

Greatest Common Factor

We found the factors 9210,9104 . The biggest common factor number is the GCF number.
So the greatest common factor 9210,9104 is 2.

Lets's calculate LCM of 234,146

Lowest Common Multiple of 234,146 using Common Division

2	234, 146
	117, 73

∴ So the LCM of the given numbers is 2 x 117 x 73 = 17082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17082

Therefore, the GCF of Fractions 9210/234,9104/146 is 2/17082

Least Common Multiple of 234,146 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 234,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,146) = 2

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

GCF(234,146) x common factors =2 x 1 = 2

LCM(234,146) = ( 234 × 146 ) / 2

LCM(234,146) = 34164 / 2

LCM(234,146) = 17082

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FAQs on GCF of Fractions of 9210/234, 9104/146

1. What is the HCF of 9210,9104?

The HCF of 9210,9104 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 9210/234, 9104/146?

Answer: GCF of Numerators as per given numbers 9210/234, 9104/146 is

GCF of Numerators i.e. for 9210,9104 is 2

LCM of denominators i.e. for 234,146 is 17082.

Thus, GCF of Fractions is 2/17082.Finally, GCF of Fractions for 9210/234, 9104/146 is 2/17082.