How to Find GCF of 71/488, 67/758, 141/445?

GCF of 71/488, 67/758, 141/445

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 71/488, 67/758, 141/445 i.e 1/82303640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/488, 67/758, 141/445.

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 71/488,67/758,141/445?

Given fractions are 71/488,67/758,141/445

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 71/488,67/758,141/445, numerators are 71,67,141

Denominators are 488,758,445

The GCF of 71,67,141 is 1 .

LCM of 488,758,445 is 82303640.

The greatest common factor of 71/488,67/758,141/445 = [GCF of 71,67,141]/[LCM of 488,758,445]= 1/82303640

Therefore, the GCF of 71/488,67/758,141/445 is 1/82303640.

Greatest Common Factor of 71,67,141

To find the highest common factor of 71,67,141, we have to find the factors of both numbers and list the highest common factor.

The factors of 71 are 1, 71

The factors of 67 are 1, 67

The factors of 141 are 1, 3, 47, 141

The HCF of 71,67,141 is 1.

Lets's calculate GCF of 71,67,141

Greatest Common Factor (GCF) of 71,67,141 By Common Division

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

Greatest Common Factor of 71,67,141 By Matching Biggest Common Factor Method

Now, list down the factors of 71

1,71

Now, list down the factors of 67

1,67

Now, list down the factors of 141

1,3,47,141

Greatest Common Factor

We found the factors 71,67,141 . The biggest common factor number is the GCF number.
So the greatest common factor 71,67,141 is 1.

Lets's calculate LCM of 488,758,445

Lowest Common Multiple of 488,758,445 using Common Division

2	488, 758, 445
	244, 379, 445

∴ So the LCM of the given numbers is 2 x 244 x 379 x 445 = 82303640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82303640

Therefore, the GCF of Fractions 71/488,67/758,141/445 is 1/82303640

Least Common Multiple of 488,758,445 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 488,758,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,758,445) = 1

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

GCF(488,758,445) x common factors =1 x 2 = 2

LCM(488,758,445) = ( 488 × 758 × 445 ) / 2

LCM(488,758,445) = 164607280 / 2

LCM(488,758,445) = 82303640

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FAQs on GCF of Fractions of 71/488, 67/758, 141/445

1. What is the HCF of 71,67,141?

The HCF of 71,67,141 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 71/488, 67/758, 141/445?

Answer: GCF of Numerators as per given numbers 71/488, 67/758, 141/445 is

GCF of Numerators i.e. for 71,67,141 is 1

LCM of denominators i.e. for 488,758,445 is 82303640.

Thus, GCF of Fractions is 1/82303640.Finally, GCF of Fractions for 71/488, 67/758, 141/445 is 1/82303640.