How to Find GCF of 7256/942, 8166/1817?

GCF of 7256/942, 8166/1817

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 7256/942, 8166/1817 i.e 2/1711614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7256/942, 8166/1817.

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 7256/942,8166/1817?

Given fractions are 7256/942,8166/1817

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 7256/942,8166/1817, numerators are 7256,8166

Denominators are 942,1817

The GCF of 7256,8166 is 2 .

LCM of 942,1817 is 1711614.

The greatest common factor of 7256/942,8166/1817 = [GCF of 7256,8166]/[LCM of 942,1817]= 2/1711614

Therefore, the GCF of 7256/942,8166/1817 is 2/1711614.

Greatest Common Factor of 7256,8166

To find the highest common factor of 7256,8166, we have to find the factors of both numbers and list the highest common factor.

The factors of 7256 are 1, 2, 4, 8, 907, 1814, 3628, 7256

The factors of 8166 are 1, 2, 3, 6, 1361, 2722, 4083, 8166

The HCF of 7256,8166 is 2.

Lets's calculate GCF of 7256,8166

Greatest Common Factor (GCF) of 7256,8166 By Common Division

2	7256, 8166
	3628, 4083

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

Greatest Common Factor of 7256,8166 By Matching Biggest Common Factor Method

Now, list down the factors of 7256

1,2,4,8,907,1814,3628,7256

Now, list down the factors of 8166

1,2,3,6,1361,2722,4083,8166

Greatest Common Factor

We found the factors 7256,8166 . The biggest common factor number is the GCF number.
So the greatest common factor 7256,8166 is 2.

Lets's calculate LCM of 942,1817

Lowest Common Multiple of 942,1817 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1711614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1711614

Therefore, the GCF of Fractions 7256/942,8166/1817 is 2/1711614

Least Common Multiple of 942,1817 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 942,1817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,1817) = 1

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

GCF(942,1817) x common factors =1 x 1 = 1

LCM(942,1817) = ( 942 × 1817 ) / 1

LCM(942,1817) = 1711614 / 1

LCM(942,1817) = 1711614

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FAQs on GCF of Fractions of 7256/942, 8166/1817

1. What is the HCF of 7256,8166?

The HCF of 7256,8166 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 7256/942, 8166/1817?

Answer: GCF of Numerators as per given numbers 7256/942, 8166/1817 is

GCF of Numerators i.e. for 7256,8166 is 2

LCM of denominators i.e. for 942,1817 is 1711614.

Thus, GCF of Fractions is 2/1711614.Finally, GCF of Fractions for 7256/942, 8166/1817 is 2/1711614.