How to Find GCF of 74/25, 55/659, 712/446?

GCF of 74/25, 55/659, 712/446

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 74/25, 55/659, 712/446 i.e 1/7347850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 74/25, 55/659, 712/446.

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 74/25,55/659,712/446?

Given fractions are 74/25,55/659,712/446

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 74/25,55/659,712/446, numerators are 74,55,712

Denominators are 25,659,446

The GCF of 74,55,712 is 1 .

LCM of 25,659,446 is 7347850.

The greatest common factor of 74/25,55/659,712/446 = [GCF of 74,55,712]/[LCM of 25,659,446]= 1/7347850

Therefore, the GCF of 74/25,55/659,712/446 is 1/7347850.

Greatest Common Factor of 74,55,712

To find the highest common factor of 74,55,712, we have to find the factors of both numbers and list the highest common factor.

The factors of 74 are 1, 2, 37, 74

The factors of 55 are 1, 5, 11, 55

The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712

The HCF of 74,55,712 is 1.

Lets's calculate GCF of 74,55,712

Greatest Common Factor (GCF) of 74,55,712 By Common Division

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

Greatest Common Factor of 74,55,712 By Matching Biggest Common Factor Method

Now, list down the factors of 74

1,2,37,74

Now, list down the factors of 55

1,5,11,55

Now, list down the factors of 712

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 74,55,712 . The biggest common factor number is the GCF number.
So the greatest common factor 74,55,712 is 1.

Lets's calculate LCM of 25,659,446

Lowest Common Multiple of 25,659,446 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7347850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7347850

Therefore, the GCF of Fractions 74/25,55/659,712/446 is 1/7347850

Least Common Multiple of 25,659,446 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 25,659,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,659,446) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(25,659,446) x common factors =1 x 1 = 1

LCM(25,659,446) = ( 25 × 659 × 446 ) / 1

LCM(25,659,446) = 7347850 / 1

LCM(25,659,446) = 7347850

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FAQs on GCF of Fractions of 74/25, 55/659, 712/446

1. What is the HCF of 74,55,712?

The HCF of 74,55,712 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 74/25, 55/659, 712/446?

Answer: GCF of Numerators as per given numbers 74/25, 55/659, 712/446 is

GCF of Numerators i.e. for 74,55,712 is 1

LCM of denominators i.e. for 25,659,446 is 7347850.

Thus, GCF of Fractions is 1/7347850.Finally, GCF of Fractions for 74/25, 55/659, 712/446 is 1/7347850.