How to Find GCF of 4256/220, 8279/9578?

GCF of 4256/220, 8279/9578

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 4256/220, 8279/9578 i.e 1/1053580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4256/220, 8279/9578.

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 4256/220,8279/9578?

Given fractions are 4256/220,8279/9578

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 4256/220,8279/9578, numerators are 4256,8279

Denominators are 220,9578

The GCF of 4256,8279 is 1 .

LCM of 220,9578 is 1053580.

The greatest common factor of 4256/220,8279/9578 = [GCF of 4256,8279]/[LCM of 220,9578]= 1/1053580

Therefore, the GCF of 4256/220,8279/9578 is 1/1053580.

Greatest Common Factor of 4256,8279

To find the highest common factor of 4256,8279, we have to find the factors of both numbers and list the highest common factor.

The factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256

The factors of 8279 are 1, 17, 487, 8279

The HCF of 4256,8279 is 1.

Lets's calculate GCF of 4256,8279

Greatest Common Factor (GCF) of 4256,8279 By Common Division

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

Greatest Common Factor of 4256,8279 By Matching Biggest Common Factor Method

Now, list down the factors of 4256

1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256

Now, list down the factors of 8279

1,17,487,8279

Greatest Common Factor

We found the factors 4256,8279 . The biggest common factor number is the GCF number.
So the greatest common factor 4256,8279 is 1.

Lets's calculate LCM of 220,9578

Lowest Common Multiple of 220,9578 using Common Division

2	220, 9578
	110, 4789

∴ So the LCM of the given numbers is 2 x 110 x 4789 = 1053580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1053580

Therefore, the GCF of Fractions 4256/220,8279/9578 is 1/1053580

Least Common Multiple of 220,9578 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 220,9578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,9578) = 2

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

GCF(220,9578) x common factors =2 x 1 = 2

LCM(220,9578) = ( 220 × 9578 ) / 2

LCM(220,9578) = 2107160 / 2

LCM(220,9578) = 1053580

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FAQs on GCF of Fractions of 4256/220, 8279/9578

1. What is the HCF of 4256,8279?

The HCF of 4256,8279 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 4256/220, 8279/9578?

Answer: GCF of Numerators as per given numbers 4256/220, 8279/9578 is

GCF of Numerators i.e. for 4256,8279 is 1

LCM of denominators i.e. for 220,9578 is 1053580.

Thus, GCF of Fractions is 1/1053580.Finally, GCF of Fractions for 4256/220, 8279/9578 is 1/1053580.