GCF of 5464/872, 2296/5074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5464/872, 2296/5074 i.e 8/2212264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5464/872, 2296/5074.
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 5464/872,2296/5074?
Given fractions are 5464/872,2296/5074
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 5464/872,2296/5074, numerators are 5464,2296
Denominators are 872,5074
The GCF of 5464,2296 is 8 .
LCM of 872,5074 is 2212264.
The greatest common factor of 5464/872,2296/5074 = [GCF of 5464,2296]/[LCM of 872,5074]= 8/2212264
Therefore, the GCF of 5464/872,2296/5074 is 8/2212264.
To find the highest common factor of 5464,2296, we have to find the factors of both numbers and list the highest common factor.
The factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464
The factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296
The HCF of 5464,2296 is 8.
Lets's calculate GCF of 5464,2296
| 2 | 5464, 2296 |
| 2 | 2732, 1148 |
| 2 | 1366, 574 |
| 683, 287 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5464,2296 By Matching Biggest Common Factor Method
Now, list down the factors of 5464
:1,2,4,8,683,1366,2732,5464
Now, list down the factors of 2296
:1,2,4,7,8,14,28,41,56,82,164,287,328,574,1148,2296
Greatest Common Factor
We found the factors 5464,2296 . The biggest common factor number is the GCF number.
So the greatest common factor 5464,2296 is 8.
Lets's calculate LCM of 872,5074
| 2 | 872, 5074 |
| 436, 2537 |
∴ So the LCM of the given numbers is 2 x 436 x 2537 = 2212264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2212264
Therefore, the GCF of Fractions 5464/872,2296/5074 is 8/2212264
Least Common Multiple of 872,5074 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 872,5074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,5074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(872,5074) x common factors =2 x 1 = 2
LCM(872,5074) = ( 872 × 5074 ) / 2
LCM(872,5074) = 4424528 / 2
LCM(872,5074) = 2212264
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5464/872, 2296/5074
1. What is the HCF of 5464,2296?
The HCF of 5464,2296 is 8
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 5464/872, 2296/5074?
Answer: GCF of Numerators as per given numbers 5464/872, 2296/5074 is
GCF of Numerators i.e. for 5464,2296 is 8
LCM of denominators i.e. for 872,5074 is 2212264.
Thus, GCF of Fractions is 8/2212264.Finally, GCF of Fractions for 5464/872, 2296/5074 is 8/2212264.