How to Find GCF of 7106/947, 1090/8926?

GCF of 7106/947, 1090/8926

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 7106/947, 1090/8926 i.e 2/8452922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7106/947, 1090/8926.

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 7106/947,1090/8926?

Given fractions are 7106/947,1090/8926

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 7106/947,1090/8926, numerators are 7106,1090

Denominators are 947,8926

The GCF of 7106,1090 is 2 .

LCM of 947,8926 is 8452922.

The greatest common factor of 7106/947,1090/8926 = [GCF of 7106,1090]/[LCM of 947,8926]= 2/8452922

Therefore, the GCF of 7106/947,1090/8926 is 2/8452922.

Greatest Common Factor of 7106,1090

To find the highest common factor of 7106,1090, we have to find the factors of both numbers and list the highest common factor.

The factors of 7106 are 1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106

The factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090

The HCF of 7106,1090 is 2.

Lets's calculate GCF of 7106,1090

Greatest Common Factor (GCF) of 7106,1090 By Common Division

2	7106, 1090
	3553, 545

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

Greatest Common Factor of 7106,1090 By Matching Biggest Common Factor Method

Now, list down the factors of 7106

1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106

Now, list down the factors of 1090

1,2,5,10,109,218,545,1090

Greatest Common Factor

We found the factors 7106,1090 . The biggest common factor number is the GCF number.
So the greatest common factor 7106,1090 is 2.

Lets's calculate LCM of 947,8926

Lowest Common Multiple of 947,8926 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8452922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8452922

Therefore, the GCF of Fractions 7106/947,1090/8926 is 2/8452922

Least Common Multiple of 947,8926 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 947,8926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,8926) = 1

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

GCF(947,8926) x common factors =1 x 1 = 1

LCM(947,8926) = ( 947 × 8926 ) / 1

LCM(947,8926) = 8452922 / 1

LCM(947,8926) = 8452922

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7106/947, 1090/8926

1. What is the HCF of 7106,1090?

The HCF of 7106,1090 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 7106/947, 1090/8926?

Answer: GCF of Numerators as per given numbers 7106/947, 1090/8926 is

GCF of Numerators i.e. for 7106,1090 is 2

LCM of denominators i.e. for 947,8926 is 8452922.

Thus, GCF of Fractions is 2/8452922.Finally, GCF of Fractions for 7106/947, 1090/8926 is 2/8452922.