How to Find GCF of 5502/573, 5417/4225?

GCF of 5502/573, 5417/4225

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 5502/573, 5417/4225 i.e 1/2420925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5502/573, 5417/4225.

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 5502/573,5417/4225?

Given fractions are 5502/573,5417/4225

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 5502/573,5417/4225, numerators are 5502,5417

Denominators are 573,4225

The GCF of 5502,5417 is 1 .

LCM of 573,4225 is 2420925.

The greatest common factor of 5502/573,5417/4225 = [GCF of 5502,5417]/[LCM of 573,4225]= 1/2420925

Therefore, the GCF of 5502/573,5417/4225 is 1/2420925.

Greatest Common Factor of 5502,5417

To find the highest common factor of 5502,5417, we have to find the factors of both numbers and list the highest common factor.

The factors of 5502 are 1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502

The factors of 5417 are 1, 5417

The HCF of 5502,5417 is 1.

Lets's calculate GCF of 5502,5417

Greatest Common Factor (GCF) of 5502,5417 By Common Division

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

Greatest Common Factor of 5502,5417 By Matching Biggest Common Factor Method

Now, list down the factors of 5502

1,2,3,6,7,14,21,42,131,262,393,786,917,1834,2751,5502

Now, list down the factors of 5417

1,5417

Greatest Common Factor

We found the factors 5502,5417 . The biggest common factor number is the GCF number.
So the greatest common factor 5502,5417 is 1.

Lets's calculate LCM of 573,4225

Lowest Common Multiple of 573,4225 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2420925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2420925

Therefore, the GCF of Fractions 5502/573,5417/4225 is 1/2420925

Least Common Multiple of 573,4225 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 573,4225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,4225) = 1

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

GCF(573,4225) x common factors =1 x 1 = 1

LCM(573,4225) = ( 573 × 4225 ) / 1

LCM(573,4225) = 2420925 / 1

LCM(573,4225) = 2420925

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5502/573, 5417/4225

1. What is the HCF of 5502,5417?

The HCF of 5502,5417 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 5502/573, 5417/4225?

Answer: GCF of Numerators as per given numbers 5502/573, 5417/4225 is

GCF of Numerators i.e. for 5502,5417 is 1

LCM of denominators i.e. for 573,4225 is 2420925.

Thus, GCF of Fractions is 1/2420925.Finally, GCF of Fractions for 5502/573, 5417/4225 is 1/2420925.