How to Find GCF of 59/11, 543/30, 874/838?

GCF of 59/11, 543/30, 874/838

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 59/11, 543/30, 874/838 i.e 1/138270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/11, 543/30, 874/838.

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 59/11,543/30,874/838?

Given fractions are 59/11,543/30,874/838

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 59/11,543/30,874/838, numerators are 59,543,874

Denominators are 11,30,838

The GCF of 59,543,874 is 1 .

LCM of 11,30,838 is 138270.

The greatest common factor of 59/11,543/30,874/838 = [GCF of 59,543,874]/[LCM of 11,30,838]= 1/138270

Therefore, the GCF of 59/11,543/30,874/838 is 1/138270.

Greatest Common Factor of 59,543,874

To find the highest common factor of 59,543,874, we have to find the factors of both numbers and list the highest common factor.

The factors of 59 are 1, 59

The factors of 543 are 1, 3, 181, 543

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The HCF of 59,543,874 is 1.

Lets's calculate GCF of 59,543,874

Greatest Common Factor (GCF) of 59,543,874 By Common Division

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

Greatest Common Factor of 59,543,874 By Matching Biggest Common Factor Method

Now, list down the factors of 59

1,59

Now, list down the factors of 543

1,3,181,543

Now, list down the factors of 874

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 59,543,874 . The biggest common factor number is the GCF number.
So the greatest common factor 59,543,874 is 1.

Lets's calculate LCM of 11,30,838

Lowest Common Multiple of 11,30,838 using Common Division

2	11, 30, 838
	11, 15, 419

∴ So the LCM of the given numbers is 2 x 11 x 15 x 419 = 138270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138270

Therefore, the GCF of Fractions 59/11,543/30,874/838 is 1/138270

Least Common Multiple of 11,30,838 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 11,30,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,30,838) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(11,30,838) x common factors =1 x 2 = 2

LCM(11,30,838) = ( 11 × 30 × 838 ) / 2

LCM(11,30,838) = 276540 / 2

LCM(11,30,838) = 138270

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FAQs on GCF of Fractions of 59/11, 543/30, 874/838

1. What is the HCF of 59,543,874?

The HCF of 59,543,874 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 59/11, 543/30, 874/838?

Answer: GCF of Numerators as per given numbers 59/11, 543/30, 874/838 is

GCF of Numerators i.e. for 59,543,874 is 1

LCM of denominators i.e. for 11,30,838 is 138270.

Thus, GCF of Fractions is 1/138270.Finally, GCF of Fractions for 59/11, 543/30, 874/838 is 1/138270.