GCF of 28/724, 7288/1816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/724, 7288/1816 i.e 4/328696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/724, 7288/1816.
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 28/724,7288/1816?
Given fractions are 28/724,7288/1816
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 28/724,7288/1816, numerators are 28,7288
Denominators are 724,1816
The GCF of 28,7288 is 4 .
LCM of 724,1816 is 328696.
The greatest common factor of 28/724,7288/1816 = [GCF of 28,7288]/[LCM of 724,1816]= 4/328696
Therefore, the GCF of 28/724,7288/1816 is 4/328696.
To find the highest common factor of 28,7288, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 7288 are 1, 2, 4, 8, 911, 1822, 3644, 7288
The HCF of 28,7288 is 4.
Lets's calculate GCF of 28,7288
| 2 | 28, 7288 |
| 2 | 14, 3644 |
| 7, 1822 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 28,7288 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 7288
:1,2,4,8,911,1822,3644,7288
Greatest Common Factor
We found the factors 28,7288 . The biggest common factor number is the GCF number.
So the greatest common factor 28,7288 is 4.
Lets's calculate LCM of 724,1816
| 2 | 724, 1816 |
| 2 | 362, 908 |
| 181, 454 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 454 = 328696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/328696
Therefore, the GCF of Fractions 28/724,7288/1816 is 4/328696
Least Common Multiple of 724,1816 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 724,1816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,1816) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,1816) x common factors =4 x 1 = 4
LCM(724,1816) = ( 724 × 1816 ) / 4
LCM(724,1816) = 1314784 / 4
LCM(724,1816) = 328696
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FAQs on GCF of Fractions of 28/724, 7288/1816
1. What is the HCF of 28,7288?
The HCF of 28,7288 is 4
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 28/724, 7288/1816?
Answer: GCF of Numerators as per given numbers 28/724, 7288/1816 is
GCF of Numerators i.e. for 28,7288 is 4
LCM of denominators i.e. for 724,1816 is 328696.
Thus, GCF of Fractions is 4/328696.Finally, GCF of Fractions for 28/724, 7288/1816 is 4/328696.