GCF of 5454/219, 1702/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5454/219, 1702/289 i.e 2/63291 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5454/219, 1702/289.
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 5454/219,1702/289?
Given fractions are 5454/219,1702/289
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 5454/219,1702/289, numerators are 5454,1702
Denominators are 219,289
The GCF of 5454,1702 is 2 .
LCM of 219,289 is 63291.
The greatest common factor of 5454/219,1702/289 = [GCF of 5454,1702]/[LCM of 219,289]= 2/63291
Therefore, the GCF of 5454/219,1702/289 is 2/63291.
To find the highest common factor of 5454,1702, we have to find the factors of both numbers and list the highest common factor.
The factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454
The factors of 1702 are 1, 2, 23, 37, 46, 74, 851, 1702
The HCF of 5454,1702 is 2.
Lets's calculate GCF of 5454,1702
| 2 | 5454, 1702 |
| 2727, 851 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5454,1702 By Matching Biggest Common Factor Method
Now, list down the factors of 5454
:1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Now, list down the factors of 1702
:1,2,23,37,46,74,851,1702
Greatest Common Factor
We found the factors 5454,1702 . The biggest common factor number is the GCF number.
So the greatest common factor 5454,1702 is 2.
Lets's calculate LCM of 219,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 63291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63291
Therefore, the GCF of Fractions 5454/219,1702/289 is 2/63291
Least Common Multiple of 219,289 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 219,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,289) x common factors =1 x 1 = 1
LCM(219,289) = ( 219 × 289 ) / 1
LCM(219,289) = 63291 / 1
LCM(219,289) = 63291
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5454/219, 1702/289
1. What is the HCF of 5454,1702?
The HCF of 5454,1702 is 2
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 5454/219, 1702/289?
Answer: GCF of Numerators as per given numbers 5454/219, 1702/289 is
GCF of Numerators i.e. for 5454,1702 is 2
LCM of denominators i.e. for 219,289 is 63291.
Thus, GCF of Fractions is 2/63291.Finally, GCF of Fractions for 5454/219, 1702/289 is 2/63291.