How to Find GCF of 41/68, 82/770, 147/300?

GCF of 41/68, 82/770, 147/300

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 41/68, 82/770, 147/300 i.e 1/392700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 41/68, 82/770, 147/300.

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 41/68,82/770,147/300?

Given fractions are 41/68,82/770,147/300

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 41/68,82/770,147/300, numerators are 41,82,147

Denominators are 68,770,300

The GCF of 41,82,147 is 1 .

LCM of 68,770,300 is 392700.

The greatest common factor of 41/68,82/770,147/300 = [GCF of 41,82,147]/[LCM of 68,770,300]= 1/392700

Therefore, the GCF of 41/68,82/770,147/300 is 1/392700.

Greatest Common Factor of 41,82,147

To find the highest common factor of 41,82,147, 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 82 are 1, 2, 41, 82

The factors of 147 are 1, 3, 7, 21, 49, 147

The HCF of 41,82,147 is 1.

Lets's calculate GCF of 41,82,147

Greatest Common Factor (GCF) of 41,82,147 By Common Division

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

Greatest Common Factor of 41,82,147 By Matching Biggest Common Factor Method

Now, list down the factors of 41

1,41

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 147

1,3,7,21,49,147

Greatest Common Factor

We found the factors 41,82,147 . The biggest common factor number is the GCF number.
So the greatest common factor 41,82,147 is 1.

Lets's calculate LCM of 68,770,300

Lowest Common Multiple of 68,770,300 using Common Division

2	68, 770, 300
2	34, 385, 150
5	17, 385, 75
	17, 77, 15

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 77 x 15 = 392700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392700

Therefore, the GCF of Fractions 41/68,82/770,147/300 is 1/392700

Least Common Multiple of 68,770,300 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 68,770,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,770,300) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(68,770,300) x common factors =2 x 20 = 40

LCM(68,770,300) = ( 68 × 770 × 300 ) / 40

LCM(68,770,300) = 15708000 / 40

LCM(68,770,300) = 392700

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FAQs on GCF of Fractions of 41/68, 82/770, 147/300

1. What is the HCF of 41,82,147?

The HCF of 41,82,147 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 41/68, 82/770, 147/300?

Answer: GCF of Numerators as per given numbers 41/68, 82/770, 147/300 is

GCF of Numerators i.e. for 41,82,147 is 1

LCM of denominators i.e. for 68,770,300 is 392700.

Thus, GCF of Fractions is 1/392700.Finally, GCF of Fractions for 41/68, 82/770, 147/300 is 1/392700.