How to Find GCF of 9359/412, 9010/5226?

GCF of 9359/412, 9010/5226

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 9359/412, 9010/5226 i.e 1/1076556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9359/412, 9010/5226.

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 9359/412,9010/5226?

Given fractions are 9359/412,9010/5226

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 9359/412,9010/5226, numerators are 9359,9010

Denominators are 412,5226

The GCF of 9359,9010 is 1 .

LCM of 412,5226 is 1076556.

The greatest common factor of 9359/412,9010/5226 = [GCF of 9359,9010]/[LCM of 412,5226]= 1/1076556

Therefore, the GCF of 9359/412,9010/5226 is 1/1076556.

Greatest Common Factor of 9359,9010

To find the highest common factor of 9359,9010, we have to find the factors of both numbers and list the highest common factor.

The factors of 9359 are 1, 7, 49, 191, 1337, 9359

The factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010

The HCF of 9359,9010 is 1.

Lets's calculate GCF of 9359,9010

Greatest Common Factor (GCF) of 9359,9010 By Common Division

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

Greatest Common Factor of 9359,9010 By Matching Biggest Common Factor Method

Now, list down the factors of 9359

1,7,49,191,1337,9359

Now, list down the factors of 9010

1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010

Greatest Common Factor

We found the factors 9359,9010 . The biggest common factor number is the GCF number.
So the greatest common factor 9359,9010 is 1.

Lets's calculate LCM of 412,5226

Lowest Common Multiple of 412,5226 using Common Division

2	412, 5226
	206, 2613

∴ So the LCM of the given numbers is 2 x 206 x 2613 = 1076556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1076556

Therefore, the GCF of Fractions 9359/412,9010/5226 is 1/1076556

Least Common Multiple of 412,5226 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 412,5226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,5226) = 2

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

GCF(412,5226) x common factors =2 x 1 = 2

LCM(412,5226) = ( 412 × 5226 ) / 2

LCM(412,5226) = 2153112 / 2

LCM(412,5226) = 1076556

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FAQs on GCF of Fractions of 9359/412, 9010/5226

1. What is the HCF of 9359,9010?

The HCF of 9359,9010 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 9359/412, 9010/5226?

Answer: GCF of Numerators as per given numbers 9359/412, 9010/5226 is

GCF of Numerators i.e. for 9359,9010 is 1

LCM of denominators i.e. for 412,5226 is 1076556.

Thus, GCF of Fractions is 1/1076556.Finally, GCF of Fractions for 9359/412, 9010/5226 is 1/1076556.