How to Find GCF of 44/24, 86/233, 791/505?

GCF of 44/24, 86/233, 791/505

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 44/24, 86/233, 791/505 i.e 1/2823960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/24, 86/233, 791/505.

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 44/24,86/233,791/505?

Given fractions are 44/24,86/233,791/505

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 44/24,86/233,791/505, numerators are 44,86,791

Denominators are 24,233,505

The GCF of 44,86,791 is 1 .

LCM of 24,233,505 is 2823960.

The greatest common factor of 44/24,86/233,791/505 = [GCF of 44,86,791]/[LCM of 24,233,505]= 1/2823960

Therefore, the GCF of 44/24,86/233,791/505 is 1/2823960.

Greatest Common Factor of 44,86,791

To find the highest common factor of 44,86,791, we have to find the factors of both numbers and list the highest common factor.

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 86 are 1, 2, 43, 86

The factors of 791 are 1, 7, 113, 791

The HCF of 44,86,791 is 1.

Lets's calculate GCF of 44,86,791

Greatest Common Factor (GCF) of 44,86,791 By Common Division

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

Greatest Common Factor of 44,86,791 By Matching Biggest Common Factor Method

Now, list down the factors of 44

1,2,4,11,22,44

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 791

1,7,113,791

Greatest Common Factor

We found the factors 44,86,791 . The biggest common factor number is the GCF number.
So the greatest common factor 44,86,791 is 1.

Lets's calculate LCM of 24,233,505

Lowest Common Multiple of 24,233,505 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2823960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2823960

Therefore, the GCF of Fractions 44/24,86/233,791/505 is 1/2823960

Least Common Multiple of 24,233,505 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 24,233,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,233,505) = 1

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

GCF(24,233,505) x common factors =1 x 1 = 1

LCM(24,233,505) = ( 24 × 233 × 505 ) / 1

LCM(24,233,505) = 2823960 / 1

LCM(24,233,505) = 2823960

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FAQs on GCF of Fractions of 44/24, 86/233, 791/505

1. What is the HCF of 44,86,791?

The HCF of 44,86,791 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 44/24, 86/233, 791/505?

Answer: GCF of Numerators as per given numbers 44/24, 86/233, 791/505 is

GCF of Numerators i.e. for 44,86,791 is 1

LCM of denominators i.e. for 24,233,505 is 2823960.

Thus, GCF of Fractions is 1/2823960.Finally, GCF of Fractions for 44/24, 86/233, 791/505 is 1/2823960.