How to Find GCF of 3425/551, 5619/4999?

GCF of 3425/551, 5619/4999

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 3425/551, 5619/4999 i.e 1/2754449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3425/551, 5619/4999.

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 3425/551,5619/4999?

Given fractions are 3425/551,5619/4999

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 3425/551,5619/4999, numerators are 3425,5619

Denominators are 551,4999

The GCF of 3425,5619 is 1 .

LCM of 551,4999 is 2754449.

The greatest common factor of 3425/551,5619/4999 = [GCF of 3425,5619]/[LCM of 551,4999]= 1/2754449

Therefore, the GCF of 3425/551,5619/4999 is 1/2754449.

Greatest Common Factor of 3425,5619

To find the highest common factor of 3425,5619, we have to find the factors of both numbers and list the highest common factor.

The factors of 3425 are 1, 5, 25, 137, 685, 3425

The factors of 5619 are 1, 3, 1873, 5619

The HCF of 3425,5619 is 1.

Lets's calculate GCF of 3425,5619

Greatest Common Factor (GCF) of 3425,5619 By Common Division

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

Greatest Common Factor of 3425,5619 By Matching Biggest Common Factor Method

Now, list down the factors of 3425

1,5,25,137,685,3425

Now, list down the factors of 5619

1,3,1873,5619

Greatest Common Factor

We found the factors 3425,5619 . The biggest common factor number is the GCF number.
So the greatest common factor 3425,5619 is 1.

Lets's calculate LCM of 551,4999

Lowest Common Multiple of 551,4999 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2754449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2754449

Therefore, the GCF of Fractions 3425/551,5619/4999 is 1/2754449

Least Common Multiple of 551,4999 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 551,4999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,4999) = 1

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

GCF(551,4999) x common factors =1 x 1 = 1

LCM(551,4999) = ( 551 × 4999 ) / 1

LCM(551,4999) = 2754449 / 1

LCM(551,4999) = 2754449

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FAQs on GCF of Fractions of 3425/551, 5619/4999

1. What is the HCF of 3425,5619?

The HCF of 3425,5619 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 3425/551, 5619/4999?

Answer: GCF of Numerators as per given numbers 3425/551, 5619/4999 is

GCF of Numerators i.e. for 3425,5619 is 1

LCM of denominators i.e. for 551,4999 is 2754449.

Thus, GCF of Fractions is 1/2754449.Finally, GCF of Fractions for 3425/551, 5619/4999 is 1/2754449.