GCF of 4408/990, 7400/5308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4408/990, 7400/5308 i.e 8/2627460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4408/990, 7400/5308.
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 4408/990,7400/5308?
Given fractions are 4408/990,7400/5308
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 4408/990,7400/5308, numerators are 4408,7400
Denominators are 990,5308
The GCF of 4408,7400 is 8 .
LCM of 990,5308 is 2627460.
The greatest common factor of 4408/990,7400/5308 = [GCF of 4408,7400]/[LCM of 990,5308]= 8/2627460
Therefore, the GCF of 4408/990,7400/5308 is 8/2627460.
To find the highest common factor of 4408,7400, we have to find the factors of both numbers and list the highest common factor.
The factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408
The factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400
The HCF of 4408,7400 is 8.
Lets's calculate GCF of 4408,7400
| 2 | 4408, 7400 |
| 2 | 2204, 3700 |
| 2 | 1102, 1850 |
| 551, 925 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4408,7400 By Matching Biggest Common Factor Method
Now, list down the factors of 4408
:1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408
Now, list down the factors of 7400
:1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Greatest Common Factor
We found the factors 4408,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 4408,7400 is 8.
Lets's calculate LCM of 990,5308
| 2 | 990, 5308 |
| 495, 2654 |
∴ So the LCM of the given numbers is 2 x 495 x 2654 = 2627460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2627460
Therefore, the GCF of Fractions 4408/990,7400/5308 is 8/2627460
Least Common Multiple of 990,5308 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 990,5308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,5308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(990,5308) x common factors =2 x 1 = 2
LCM(990,5308) = ( 990 × 5308 ) / 2
LCM(990,5308) = 5254920 / 2
LCM(990,5308) = 2627460
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4408/990, 7400/5308
1. What is the HCF of 4408,7400?
The HCF of 4408,7400 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 4408/990, 7400/5308?
Answer: GCF of Numerators as per given numbers 4408/990, 7400/5308 is
GCF of Numerators i.e. for 4408,7400 is 8
LCM of denominators i.e. for 990,5308 is 2627460.
Thus, GCF of Fractions is 8/2627460.Finally, GCF of Fractions for 4408/990, 7400/5308 is 8/2627460.