How to Find GCF of 7256/942, 4217/8630?

GCF of 7256/942, 4217/8630

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, 4217/8630 i.e 1/4064730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7256/942, 4217/8630.

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 7256/942,4217/8630?

Given fractions are 7256/942,4217/8630

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 7256/942,4217/8630, numerators are 7256,4217

Denominators are 942,8630

The GCF of 7256,4217 is 1 .

LCM of 942,8630 is 4064730.

The greatest common factor of 7256/942,4217/8630 = [GCF of 7256,4217]/[LCM of 942,8630]= 1/4064730

Therefore, the GCF of 7256/942,4217/8630 is 1/4064730.

Greatest Common Factor of 7256,4217

To find the highest common factor of 7256,4217, 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 4217 are 1, 4217

The HCF of 7256,4217 is 1.

Lets's calculate GCF of 7256,4217

Greatest Common Factor (GCF) of 7256,4217 By Common Division

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

Greatest Common Factor of 7256,4217 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 4217

1,4217

Greatest Common Factor

We found the factors 7256,4217 . The biggest common factor number is the GCF number.
So the greatest common factor 7256,4217 is 1.

Lets's calculate LCM of 942,8630

Lowest Common Multiple of 942,8630 using Common Division

2	942, 8630
	471, 4315

∴ So the LCM of the given numbers is 2 x 471 x 4315 = 4064730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4064730

Therefore, the GCF of Fractions 7256/942,4217/8630 is 1/4064730

Least Common Multiple of 942,8630 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 942,8630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,8630) = 2

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

GCF(942,8630) x common factors =2 x 1 = 2

LCM(942,8630) = ( 942 × 8630 ) / 2

LCM(942,8630) = 8129460 / 2

LCM(942,8630) = 4064730

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7256/942, 4217/8630

1. What is the HCF of 7256,4217?

The HCF of 7256,4217 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 7256/942, 4217/8630?

Answer: GCF of Numerators as per given numbers 7256/942, 4217/8630 is

GCF of Numerators i.e. for 7256,4217 is 1

LCM of denominators i.e. for 942,8630 is 4064730.

Thus, GCF of Fractions is 1/4064730.Finally, GCF of Fractions for 7256/942, 4217/8630 is 1/4064730.