How to Find GCF of 2553/920, 5713/4063?

GCF of 2553/920, 5713/4063

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 2553/920, 5713/4063 i.e 1/3737960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2553/920, 5713/4063.

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 2553/920,5713/4063?

Given fractions are 2553/920,5713/4063

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 2553/920,5713/4063, numerators are 2553,5713

Denominators are 920,4063

The GCF of 2553,5713 is 1 .

LCM of 920,4063 is 3737960.

The greatest common factor of 2553/920,5713/4063 = [GCF of 2553,5713]/[LCM of 920,4063]= 1/3737960

Therefore, the GCF of 2553/920,5713/4063 is 1/3737960.

Greatest Common Factor of 2553,5713

To find the highest common factor of 2553,5713, we have to find the factors of both numbers and list the highest common factor.

The factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553

The factors of 5713 are 1, 29, 197, 5713

The HCF of 2553,5713 is 1.

Lets's calculate GCF of 2553,5713

Greatest Common Factor (GCF) of 2553,5713 By Common Division

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

Greatest Common Factor of 2553,5713 By Matching Biggest Common Factor Method

Now, list down the factors of 2553

1,3,23,37,69,111,851,2553

Now, list down the factors of 5713

1,29,197,5713

Greatest Common Factor

We found the factors 2553,5713 . The biggest common factor number is the GCF number.
So the greatest common factor 2553,5713 is 1.

Lets's calculate LCM of 920,4063

Lowest Common Multiple of 920,4063 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3737960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3737960

Therefore, the GCF of Fractions 2553/920,5713/4063 is 1/3737960

Least Common Multiple of 920,4063 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 920,4063 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,4063) = 1

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

GCF(920,4063) x common factors =1 x 1 = 1

LCM(920,4063) = ( 920 × 4063 ) / 1

LCM(920,4063) = 3737960 / 1

LCM(920,4063) = 3737960

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FAQs on GCF of Fractions of 2553/920, 5713/4063

1. What is the HCF of 2553,5713?

The HCF of 2553,5713 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 2553/920, 5713/4063?

Answer: GCF of Numerators as per given numbers 2553/920, 5713/4063 is

GCF of Numerators i.e. for 2553,5713 is 1

LCM of denominators i.e. for 920,4063 is 3737960.

Thus, GCF of Fractions is 1/3737960.Finally, GCF of Fractions for 2553/920, 5713/4063 is 1/3737960.