How to Find GCF of 9106/676, 4670/2716?

GCF of 9106/676, 4670/2716

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 9106/676, 4670/2716 i.e 2/459004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9106/676, 4670/2716.

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 9106/676,4670/2716?

Given fractions are 9106/676,4670/2716

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 9106/676,4670/2716, numerators are 9106,4670

Denominators are 676,2716

The GCF of 9106,4670 is 2 .

LCM of 676,2716 is 459004.

The greatest common factor of 9106/676,4670/2716 = [GCF of 9106,4670]/[LCM of 676,2716]= 2/459004

Therefore, the GCF of 9106/676,4670/2716 is 2/459004.

Greatest Common Factor of 9106,4670

To find the highest common factor of 9106,4670, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 4670 are 1, 2, 5, 10, 467, 934, 2335, 4670

The HCF of 9106,4670 is 2.

Lets's calculate GCF of 9106,4670

Greatest Common Factor (GCF) of 9106,4670 By Common Division

2	9106, 4670
	4553, 2335

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

Greatest Common Factor of 9106,4670 By Matching Biggest Common Factor Method

Now, list down the factors of 9106

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

Now, list down the factors of 4670

1,2,5,10,467,934,2335,4670

Greatest Common Factor

We found the factors 9106,4670 . The biggest common factor number is the GCF number.
So the greatest common factor 9106,4670 is 2.

Lets's calculate LCM of 676,2716

Lowest Common Multiple of 676,2716 using Common Division

2	676, 2716
2	338, 1358
	169, 679

∴ So the LCM of the given numbers is 2 x 2 x 169 x 679 = 459004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/459004

Therefore, the GCF of Fractions 9106/676,4670/2716 is 2/459004

Least Common Multiple of 676,2716 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 676,2716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,2716) = 4

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

GCF(676,2716) x common factors =4 x 1 = 4

LCM(676,2716) = ( 676 × 2716 ) / 4

LCM(676,2716) = 1836016 / 4

LCM(676,2716) = 459004

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FAQs on GCF of Fractions of 9106/676, 4670/2716

1. What is the HCF of 9106,4670?

The HCF of 9106,4670 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 9106/676, 4670/2716?

Answer: GCF of Numerators as per given numbers 9106/676, 4670/2716 is

GCF of Numerators i.e. for 9106,4670 is 2

LCM of denominators i.e. for 676,2716 is 459004.

Thus, GCF of Fractions is 2/459004.Finally, GCF of Fractions for 9106/676, 4670/2716 is 2/459004.