How to Find GCF of 5969/234, 2395/8765?

GCF of 5969/234, 2395/8765

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 5969/234, 2395/8765 i.e 1/2051010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5969/234, 2395/8765.

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 5969/234,2395/8765?

Given fractions are 5969/234,2395/8765

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 5969/234,2395/8765, numerators are 5969,2395

Denominators are 234,8765

The GCF of 5969,2395 is 1 .

LCM of 234,8765 is 2051010.

The greatest common factor of 5969/234,2395/8765 = [GCF of 5969,2395]/[LCM of 234,8765]= 1/2051010

Therefore, the GCF of 5969/234,2395/8765 is 1/2051010.

Greatest Common Factor of 5969,2395

To find the highest common factor of 5969,2395, we have to find the factors of both numbers and list the highest common factor.

The factors of 5969 are 1, 47, 127, 5969

The factors of 2395 are 1, 5, 479, 2395

The HCF of 5969,2395 is 1.

Lets's calculate GCF of 5969,2395

Greatest Common Factor (GCF) of 5969,2395 By Common Division

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

Greatest Common Factor of 5969,2395 By Matching Biggest Common Factor Method

Now, list down the factors of 5969

1,47,127,5969

Now, list down the factors of 2395

1,5,479,2395

Greatest Common Factor

We found the factors 5969,2395 . The biggest common factor number is the GCF number.
So the greatest common factor 5969,2395 is 1.

Lets's calculate LCM of 234,8765

Lowest Common Multiple of 234,8765 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2051010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2051010

Therefore, the GCF of Fractions 5969/234,2395/8765 is 1/2051010

Least Common Multiple of 234,8765 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 234,8765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,8765) = 1

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

GCF(234,8765) x common factors =1 x 1 = 1

LCM(234,8765) = ( 234 × 8765 ) / 1

LCM(234,8765) = 2051010 / 1

LCM(234,8765) = 2051010

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FAQs on GCF of Fractions of 5969/234, 2395/8765

1. What is the HCF of 5969,2395?

The HCF of 5969,2395 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 5969/234, 2395/8765?

Answer: GCF of Numerators as per given numbers 5969/234, 2395/8765 is

GCF of Numerators i.e. for 5969,2395 is 1

LCM of denominators i.e. for 234,8765 is 2051010.

Thus, GCF of Fractions is 1/2051010.Finally, GCF of Fractions for 5969/234, 2395/8765 is 1/2051010.