How to Find GCF of 5440/775, 9848/8219?

GCF of 5440/775, 9848/8219

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 5440/775, 9848/8219 i.e 8/6369725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5440/775, 9848/8219.

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 5440/775,9848/8219?

Given fractions are 5440/775,9848/8219

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 5440/775,9848/8219, numerators are 5440,9848

Denominators are 775,8219

The GCF of 5440,9848 is 8 .

LCM of 775,8219 is 6369725.

The greatest common factor of 5440/775,9848/8219 = [GCF of 5440,9848]/[LCM of 775,8219]= 8/6369725

Therefore, the GCF of 5440/775,9848/8219 is 8/6369725.

Greatest Common Factor of 5440,9848

To find the highest common factor of 5440,9848, we have to find the factors of both numbers and list the highest common factor.

The factors of 5440 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440

The factors of 9848 are 1, 2, 4, 8, 1231, 2462, 4924, 9848

The HCF of 5440,9848 is 8.

Lets's calculate GCF of 5440,9848

Greatest Common Factor (GCF) of 5440,9848 By Common Division

2	5440, 9848
2	2720, 4924
2	1360, 2462
	680, 1231

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5440,9848 By Matching Biggest Common Factor Method

Now, list down the factors of 5440

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Now, list down the factors of 9848

1,2,4,8,1231,2462,4924,9848

Greatest Common Factor

We found the factors 5440,9848 . The biggest common factor number is the GCF number.
So the greatest common factor 5440,9848 is 8.

Lets's calculate LCM of 775,8219

Lowest Common Multiple of 775,8219 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6369725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6369725

Therefore, the GCF of Fractions 5440/775,9848/8219 is 8/6369725

Least Common Multiple of 775,8219 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 775,8219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,8219) = 1

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

GCF(775,8219) x common factors =1 x 1 = 1

LCM(775,8219) = ( 775 × 8219 ) / 1

LCM(775,8219) = 6369725 / 1

LCM(775,8219) = 6369725

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FAQs on GCF of Fractions of 5440/775, 9848/8219

1. What is the HCF of 5440,9848?

The HCF of 5440,9848 is 8

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 5440/775, 9848/8219?

Answer: GCF of Numerators as per given numbers 5440/775, 9848/8219 is

GCF of Numerators i.e. for 5440,9848 is 8

LCM of denominators i.e. for 775,8219 is 6369725.

Thus, GCF of Fractions is 8/6369725.Finally, GCF of Fractions for 5440/775, 9848/8219 is 8/6369725.