GCF of 2219/863, 4267/8864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2219/863, 4267/8864 i.e 1/7649632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2219/863, 4267/8864.
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 2219/863,4267/8864?
Given fractions are 2219/863,4267/8864
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 2219/863,4267/8864, numerators are 2219,4267
Denominators are 863,8864
The GCF of 2219,4267 is 1 .
LCM of 863,8864 is 7649632.
The greatest common factor of 2219/863,4267/8864 = [GCF of 2219,4267]/[LCM of 863,8864]= 1/7649632
Therefore, the GCF of 2219/863,4267/8864 is 1/7649632.
To find the highest common factor of 2219,4267, we have to find the factors of both numbers and list the highest common factor.
The factors of 2219 are 1, 7, 317, 2219
The factors of 4267 are 1, 17, 251, 4267
The HCF of 2219,4267 is 1.
Lets's calculate GCF of 2219,4267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2219,4267 By Matching Biggest Common Factor Method
Now, list down the factors of 2219
:1,7,317,2219
Now, list down the factors of 4267
:1,17,251,4267
Greatest Common Factor
We found the factors 2219,4267 . The biggest common factor number is the GCF number.
So the greatest common factor 2219,4267 is 1.
Lets's calculate LCM of 863,8864
Given numbers has no common factors except 1. So, there LCM is their product i.e 7649632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7649632
Therefore, the GCF of Fractions 2219/863,4267/8864 is 1/7649632
Least Common Multiple of 863,8864 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 863,8864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,8864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,8864) x common factors =1 x 1 = 1
LCM(863,8864) = ( 863 × 8864 ) / 1
LCM(863,8864) = 7649632 / 1
LCM(863,8864) = 7649632
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2219/863, 4267/8864
1. What is the HCF of 2219,4267?
The HCF of 2219,4267 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 2219/863, 4267/8864?
Answer: GCF of Numerators as per given numbers 2219/863, 4267/8864 is
GCF of Numerators i.e. for 2219,4267 is 1
LCM of denominators i.e. for 863,8864 is 7649632.
Thus, GCF of Fractions is 1/7649632.Finally, GCF of Fractions for 2219/863, 4267/8864 is 1/7649632.