How to Find GCF of 5545/616, 1999/3256?

GCF of 5545/616, 1999/3256

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 5545/616, 1999/3256 i.e 1/22792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5545/616, 1999/3256.

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 5545/616,1999/3256?

Given fractions are 5545/616,1999/3256

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 5545/616,1999/3256, numerators are 5545,1999

Denominators are 616,3256

The GCF of 5545,1999 is 1 .

LCM of 616,3256 is 22792.

The greatest common factor of 5545/616,1999/3256 = [GCF of 5545,1999]/[LCM of 616,3256]= 1/22792

Therefore, the GCF of 5545/616,1999/3256 is 1/22792.

Greatest Common Factor of 5545,1999

To find the highest common factor of 5545,1999, we have to find the factors of both numbers and list the highest common factor.

The factors of 5545 are 1, 5, 1109, 5545

The factors of 1999 are 1, 1999

The HCF of 5545,1999 is 1.

Lets's calculate GCF of 5545,1999

Greatest Common Factor (GCF) of 5545,1999 By Common Division

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

Greatest Common Factor of 5545,1999 By Matching Biggest Common Factor Method

Now, list down the factors of 5545

1,5,1109,5545

Now, list down the factors of 1999

1,1999

Greatest Common Factor

We found the factors 5545,1999 . The biggest common factor number is the GCF number.
So the greatest common factor 5545,1999 is 1.

Lets's calculate LCM of 616,3256

Lowest Common Multiple of 616,3256 using Common Division

2	616, 3256
2	308, 1628
2	154, 814
11	77, 407
	7, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 37 = 22792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22792

Therefore, the GCF of Fractions 5545/616,1999/3256 is 1/22792

Least Common Multiple of 616,3256 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 616,3256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,3256) = 88

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

GCF(616,3256) x common factors =88 x 1 = 88

LCM(616,3256) = ( 616 × 3256 ) / 88

LCM(616,3256) = 2005696 / 88

LCM(616,3256) = 22792

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FAQs on GCF of Fractions of 5545/616, 1999/3256

1. What is the HCF of 5545,1999?

The HCF of 5545,1999 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 5545/616, 1999/3256?

Answer: GCF of Numerators as per given numbers 5545/616, 1999/3256 is

GCF of Numerators i.e. for 5545,1999 is 1

LCM of denominators i.e. for 616,3256 is 22792.

Thus, GCF of Fractions is 1/22792.Finally, GCF of Fractions for 5545/616, 1999/3256 is 1/22792.