How to Find GCF of 841/90, 618/47, 941/68?

GCF of 841/90, 618/47, 941/68

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 841/90, 618/47, 941/68 i.e 1/143820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 841/90, 618/47, 941/68.

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 841/90,618/47,941/68?

Given fractions are 841/90,618/47,941/68

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 841/90,618/47,941/68, numerators are 841,618,941

Denominators are 90,47,68

The GCF of 841,618,941 is 1 .

LCM of 90,47,68 is 143820.

The greatest common factor of 841/90,618/47,941/68 = [GCF of 841,618,941]/[LCM of 90,47,68]= 1/143820

Therefore, the GCF of 841/90,618/47,941/68 is 1/143820.

Greatest Common Factor of 841,618,941

To find the highest common factor of 841,618,941, we have to find the factors of both numbers and list the highest common factor.

The factors of 841 are 1, 29, 841

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The factors of 941 are 1, 941

The HCF of 841,618,941 is 1.

Lets's calculate GCF of 841,618,941

Greatest Common Factor (GCF) of 841,618,941 By Common Division

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

Greatest Common Factor of 841,618,941 By Matching Biggest Common Factor Method

Now, list down the factors of 841

1,29,841

Now, list down the factors of 618

1,2,3,6,103,206,309,618

Now, list down the factors of 941

1,941

Greatest Common Factor

We found the factors 841,618,941 . The biggest common factor number is the GCF number.
So the greatest common factor 841,618,941 is 1.

Lets's calculate LCM of 90,47,68

Lowest Common Multiple of 90,47,68 using Common Division

2	90, 47, 68
	45, 47, 34

∴ So the LCM of the given numbers is 2 x 45 x 47 x 34 = 143820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143820

Therefore, the GCF of Fractions 841/90,618/47,941/68 is 1/143820

Least Common Multiple of 90,47,68 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 90,47,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,47,68) = 1

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

GCF(90,47,68) x common factors =1 x 2 = 2

LCM(90,47,68) = ( 90 × 47 × 68 ) / 2

LCM(90,47,68) = 287640 / 2

LCM(90,47,68) = 143820

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FAQs on GCF of Fractions of 841/90, 618/47, 941/68

1. What is the HCF of 841,618,941?

The HCF of 841,618,941 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 841/90, 618/47, 941/68?

Answer: GCF of Numerators as per given numbers 841/90, 618/47, 941/68 is

GCF of Numerators i.e. for 841,618,941 is 1

LCM of denominators i.e. for 90,47,68 is 143820.

Thus, GCF of Fractions is 1/143820.Finally, GCF of Fractions for 841/90, 618/47, 941/68 is 1/143820.