How to Find GCF of 22/848, 60/826, 735/488?

GCF of 22/848, 60/826, 735/488

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 22/848, 60/826, 735/488 i.e 1/21363664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/848, 60/826, 735/488.

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 22/848,60/826,735/488?

Given fractions are 22/848,60/826,735/488

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 22/848,60/826,735/488, numerators are 22,60,735

Denominators are 848,826,488

The GCF of 22,60,735 is 1 .

LCM of 848,826,488 is 21363664.

The greatest common factor of 22/848,60/826,735/488 = [GCF of 22,60,735]/[LCM of 848,826,488]= 1/21363664

Therefore, the GCF of 22/848,60/826,735/488 is 1/21363664.

Greatest Common Factor of 22,60,735

To find the highest common factor of 22,60,735, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

The HCF of 22,60,735 is 1.

Lets's calculate GCF of 22,60,735

Greatest Common Factor (GCF) of 22,60,735 By Common Division

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

Greatest Common Factor of 22,60,735 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 735

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 22,60,735 . The biggest common factor number is the GCF number.
So the greatest common factor 22,60,735 is 1.

Lets's calculate LCM of 848,826,488

Lowest Common Multiple of 848,826,488 using Common Division

2	848, 826, 488
2	424, 413, 244
2	212, 413, 122
	106, 413, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 106 x 413 x 61 = 21363664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21363664

Therefore, the GCF of Fractions 22/848,60/826,735/488 is 1/21363664

Least Common Multiple of 848,826,488 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 848,826,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,826,488) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(848,826,488) x common factors =2 x 8 = 16

LCM(848,826,488) = ( 848 × 826 × 488 ) / 16

LCM(848,826,488) = 341818624 / 16

LCM(848,826,488) = 21363664

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 22/848, 60/826, 735/488

1. What is the HCF of 22,60,735?

The HCF of 22,60,735 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 22/848, 60/826, 735/488?

Answer: GCF of Numerators as per given numbers 22/848, 60/826, 735/488 is

GCF of Numerators i.e. for 22,60,735 is 1

LCM of denominators i.e. for 848,826,488 is 21363664.

Thus, GCF of Fractions is 1/21363664.Finally, GCF of Fractions for 22/848, 60/826, 735/488 is 1/21363664.