How to Find GCF of 5974/377, 1575/972?

GCF of 5974/377, 1575/972

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 5974/377, 1575/972 i.e 1/366444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5974/377, 1575/972.

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 5974/377,1575/972?

Given fractions are 5974/377,1575/972

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 5974/377,1575/972, numerators are 5974,1575

Denominators are 377,972

The GCF of 5974,1575 is 1 .

LCM of 377,972 is 366444.

The greatest common factor of 5974/377,1575/972 = [GCF of 5974,1575]/[LCM of 377,972]= 1/366444

Therefore, the GCF of 5974/377,1575/972 is 1/366444.

Greatest Common Factor of 5974,1575

To find the highest common factor of 5974,1575, we have to find the factors of both numbers and list the highest common factor.

The factors of 5974 are 1, 2, 29, 58, 103, 206, 2987, 5974

The factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575

The HCF of 5974,1575 is 1.

Lets's calculate GCF of 5974,1575

Greatest Common Factor (GCF) of 5974,1575 By Common Division

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

Greatest Common Factor of 5974,1575 By Matching Biggest Common Factor Method

Now, list down the factors of 5974

1,2,29,58,103,206,2987,5974

Now, list down the factors of 1575

1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575

Greatest Common Factor

We found the factors 5974,1575 . The biggest common factor number is the GCF number.
So the greatest common factor 5974,1575 is 1.

Lets's calculate LCM of 377,972

Lowest Common Multiple of 377,972 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 366444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366444

Therefore, the GCF of Fractions 5974/377,1575/972 is 1/366444

Least Common Multiple of 377,972 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 377,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,972) = 1

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

GCF(377,972) x common factors =1 x 1 = 1

LCM(377,972) = ( 377 × 972 ) / 1

LCM(377,972) = 366444 / 1

LCM(377,972) = 366444

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FAQs on GCF of Fractions of 5974/377, 1575/972

1. What is the HCF of 5974,1575?

The HCF of 5974,1575 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 5974/377, 1575/972?

Answer: GCF of Numerators as per given numbers 5974/377, 1575/972 is

GCF of Numerators i.e. for 5974,1575 is 1

LCM of denominators i.e. for 377,972 is 366444.

Thus, GCF of Fractions is 1/366444.Finally, GCF of Fractions for 5974/377, 1575/972 is 1/366444.