How to Find GCF of 34/336, 9106/8242?

GCF of 34/336, 9106/8242

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 34/336, 9106/8242 i.e 2/1384656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/336, 9106/8242.

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 34/336,9106/8242?

Given fractions are 34/336,9106/8242

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 34/336,9106/8242, numerators are 34,9106

Denominators are 336,8242

The GCF of 34,9106 is 2 .

LCM of 336,8242 is 1384656.

The greatest common factor of 34/336,9106/8242 = [GCF of 34,9106]/[LCM of 336,8242]= 2/1384656

Therefore, the GCF of 34/336,9106/8242 is 2/1384656.

Greatest Common Factor of 34,9106

To find the highest common factor of 34,9106, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 9106 are 1, 2, 29, 58, 157, 314, 4553, 9106

The HCF of 34,9106 is 2.

Lets's calculate GCF of 34,9106

Greatest Common Factor (GCF) of 34,9106 By Common Division

2	34, 9106
	17, 4553

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

Greatest Common Factor of 34,9106 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 9106

1,2,29,58,157,314,4553,9106

Greatest Common Factor

We found the factors 34,9106 . The biggest common factor number is the GCF number.
So the greatest common factor 34,9106 is 2.

Lets's calculate LCM of 336,8242

Lowest Common Multiple of 336,8242 using Common Division

2	336, 8242
	168, 4121

∴ So the LCM of the given numbers is 2 x 168 x 4121 = 1384656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1384656

Therefore, the GCF of Fractions 34/336,9106/8242 is 2/1384656

Least Common Multiple of 336,8242 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 336,8242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,8242) = 2

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

GCF(336,8242) x common factors =2 x 1 = 2

LCM(336,8242) = ( 336 × 8242 ) / 2

LCM(336,8242) = 2769312 / 2

LCM(336,8242) = 1384656

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FAQs on GCF of Fractions of 34/336, 9106/8242

1. What is the HCF of 34,9106?

The HCF of 34,9106 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 34/336, 9106/8242?

Answer: GCF of Numerators as per given numbers 34/336, 9106/8242 is

GCF of Numerators i.e. for 34,9106 is 2

LCM of denominators i.e. for 336,8242 is 1384656.

Thus, GCF of Fractions is 2/1384656.Finally, GCF of Fractions for 34/336, 9106/8242 is 2/1384656.