GCF of 8896/567, 4654/2044
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8896/567, 4654/2044 i.e 2/165564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8896/567, 4654/2044.
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 8896/567,4654/2044?
Given fractions are 8896/567,4654/2044
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 8896/567,4654/2044, numerators are 8896,4654
Denominators are 567,2044
The GCF of 8896,4654 is 2 .
LCM of 567,2044 is 165564.
The greatest common factor of 8896/567,4654/2044 = [GCF of 8896,4654]/[LCM of 567,2044]= 2/165564
Therefore, the GCF of 8896/567,4654/2044 is 2/165564.
To find the highest common factor of 8896,4654, we have to find the factors of both numbers and list the highest common factor.
The factors of 8896 are 1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896
The factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654
The HCF of 8896,4654 is 2.
Lets's calculate GCF of 8896,4654
| 2 | 8896, 4654 |
| 4448, 2327 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8896,4654 By Matching Biggest Common Factor Method
Now, list down the factors of 8896
:1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896
Now, list down the factors of 4654
:1,2,13,26,179,358,2327,4654
Greatest Common Factor
We found the factors 8896,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 8896,4654 is 2.
Lets's calculate LCM of 567,2044
| 7 | 567, 2044 |
| 81, 292 |
∴ So the LCM of the given numbers is 7 x 81 x 292 = 165564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165564
Therefore, the GCF of Fractions 8896/567,4654/2044 is 2/165564
Least Common Multiple of 567,2044 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 567,2044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,2044) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(567,2044) x common factors =7 x 1 = 7
LCM(567,2044) = ( 567 × 2044 ) / 7
LCM(567,2044) = 1158948 / 7
LCM(567,2044) = 165564
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8896/567, 4654/2044
1. What is the HCF of 8896,4654?
The HCF of 8896,4654 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 8896/567, 4654/2044?
Answer: GCF of Numerators as per given numbers 8896/567, 4654/2044 is
GCF of Numerators i.e. for 8896,4654 is 2
LCM of denominators i.e. for 567,2044 is 165564.
Thus, GCF of Fractions is 2/165564.Finally, GCF of Fractions for 8896/567, 4654/2044 is 2/165564.