How to Find GCF of 60/443, 76/354, 971/526?

GCF of 60/443, 76/354, 971/526

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 60/443, 76/354, 971/526 i.e 1/41244186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/443, 76/354, 971/526.

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 60/443,76/354,971/526?

Given fractions are 60/443,76/354,971/526

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 60/443,76/354,971/526, numerators are 60,76,971

Denominators are 443,354,526

The GCF of 60,76,971 is 1 .

LCM of 443,354,526 is 41244186.

The greatest common factor of 60/443,76/354,971/526 = [GCF of 60,76,971]/[LCM of 443,354,526]= 1/41244186

Therefore, the GCF of 60/443,76/354,971/526 is 1/41244186.

Greatest Common Factor of 60,76,971

To find the highest common factor of 60,76,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 76 are 1, 2, 4, 19, 38, 76

The factors of 971 are 1, 971

The HCF of 60,76,971 is 1.

Lets's calculate GCF of 60,76,971

Greatest Common Factor (GCF) of 60,76,971 By Common Division

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

Greatest Common Factor of 60,76,971 By Matching Biggest Common Factor Method

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 76

1,2,4,19,38,76

Now, list down the factors of 971

1,971

Greatest Common Factor

We found the factors 60,76,971 . The biggest common factor number is the GCF number.
So the greatest common factor 60,76,971 is 1.

Lets's calculate LCM of 443,354,526

Lowest Common Multiple of 443,354,526 using Common Division

2	443, 354, 526
	443, 177, 263

∴ So the LCM of the given numbers is 2 x 443 x 177 x 263 = 41244186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41244186

Therefore, the GCF of Fractions 60/443,76/354,971/526 is 1/41244186

Least Common Multiple of 443,354,526 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 443,354,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,354,526) = 1

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

GCF(443,354,526) x common factors =1 x 2 = 2

LCM(443,354,526) = ( 443 × 354 × 526 ) / 2

LCM(443,354,526) = 82488372 / 2

LCM(443,354,526) = 41244186

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 60/443, 76/354, 971/526

1. What is the HCF of 60,76,971?

The HCF of 60,76,971 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 60/443, 76/354, 971/526?

Answer: GCF of Numerators as per given numbers 60/443, 76/354, 971/526 is

GCF of Numerators i.e. for 60,76,971 is 1

LCM of denominators i.e. for 443,354,526 is 41244186.

Thus, GCF of Fractions is 1/41244186.Finally, GCF of Fractions for 60/443, 76/354, 971/526 is 1/41244186.