GCF of 1289/627, 4462/8299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1289/627, 4462/8299 i.e 1/5203473 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1289/627, 4462/8299.
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 1289/627,4462/8299?
Given fractions are 1289/627,4462/8299
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 1289/627,4462/8299, numerators are 1289,4462
Denominators are 627,8299
The GCF of 1289,4462 is 1 .
LCM of 627,8299 is 5203473.
The greatest common factor of 1289/627,4462/8299 = [GCF of 1289,4462]/[LCM of 627,8299]= 1/5203473
Therefore, the GCF of 1289/627,4462/8299 is 1/5203473.
To find the highest common factor of 1289,4462, we have to find the factors of both numbers and list the highest common factor.
The factors of 1289 are 1, 1289
The factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462
The HCF of 1289,4462 is 1.
Lets's calculate GCF of 1289,4462
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1289,4462 By Matching Biggest Common Factor Method
Now, list down the factors of 1289
:1,1289
Now, list down the factors of 4462
:1,2,23,46,97,194,2231,4462
Greatest Common Factor
We found the factors 1289,4462 . The biggest common factor number is the GCF number.
So the greatest common factor 1289,4462 is 1.
Lets's calculate LCM of 627,8299
Given numbers has no common factors except 1. So, there LCM is their product i.e 5203473
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5203473
Therefore, the GCF of Fractions 1289/627,4462/8299 is 1/5203473
Least Common Multiple of 627,8299 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 627,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,8299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,8299) x common factors =1 x 1 = 1
LCM(627,8299) = ( 627 × 8299 ) / 1
LCM(627,8299) = 5203473 / 1
LCM(627,8299) = 5203473
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1289/627, 4462/8299
1. What is the HCF of 1289,4462?
The HCF of 1289,4462 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 1289/627, 4462/8299?
Answer: GCF of Numerators as per given numbers 1289/627, 4462/8299 is
GCF of Numerators i.e. for 1289,4462 is 1
LCM of denominators i.e. for 627,8299 is 5203473.
Thus, GCF of Fractions is 1/5203473.Finally, GCF of Fractions for 1289/627, 4462/8299 is 1/5203473.