How to Find GCF of 41/214, 40/188, 794/850?

GCF of 41/214, 40/188, 794/850

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 41/214, 40/188, 794/850 i.e 1/8549300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 41/214, 40/188, 794/850.

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 41/214,40/188,794/850?

Given fractions are 41/214,40/188,794/850

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 41/214,40/188,794/850, numerators are 41,40,794

Denominators are 214,188,850

The GCF of 41,40,794 is 1 .

LCM of 214,188,850 is 8549300.

The greatest common factor of 41/214,40/188,794/850 = [GCF of 41,40,794]/[LCM of 214,188,850]= 1/8549300

Therefore, the GCF of 41/214,40/188,794/850 is 1/8549300.

Greatest Common Factor of 41,40,794

To find the highest common factor of 41,40,794, we have to find the factors of both numbers and list the highest common factor.

The factors of 41 are 1, 41

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 794 are 1, 2, 397, 794

The HCF of 41,40,794 is 1.

Lets's calculate GCF of 41,40,794

Greatest Common Factor (GCF) of 41,40,794 By Common Division

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

Greatest Common Factor of 41,40,794 By Matching Biggest Common Factor Method

Now, list down the factors of 41

1,41

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 794

1,2,397,794

Greatest Common Factor

We found the factors 41,40,794 . The biggest common factor number is the GCF number.
So the greatest common factor 41,40,794 is 1.

Lets's calculate LCM of 214,188,850

Lowest Common Multiple of 214,188,850 using Common Division

2	214, 188, 850
	107, 94, 425

∴ So the LCM of the given numbers is 2 x 107 x 94 x 425 = 8549300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8549300

Therefore, the GCF of Fractions 41/214,40/188,794/850 is 1/8549300

Least Common Multiple of 214,188,850 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 214,188,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,188,850) = 2

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

GCF(214,188,850) x common factors =2 x 2 = 4

LCM(214,188,850) = ( 214 × 188 × 850 ) / 4

LCM(214,188,850) = 34197200 / 4

LCM(214,188,850) = 8549300

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FAQs on GCF of Fractions of 41/214, 40/188, 794/850

1. What is the HCF of 41,40,794?

The HCF of 41,40,794 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 41/214, 40/188, 794/850?

Answer: GCF of Numerators as per given numbers 41/214, 40/188, 794/850 is

GCF of Numerators i.e. for 41,40,794 is 1

LCM of denominators i.e. for 214,188,850 is 8549300.

Thus, GCF of Fractions is 1/8549300.Finally, GCF of Fractions for 41/214, 40/188, 794/850 is 1/8549300.