GCF of 4440/388, 2710/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4440/388, 2710/540 i.e 10/52380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4440/388, 2710/540.
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 4440/388,2710/540?
Given fractions are 4440/388,2710/540
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 4440/388,2710/540, numerators are 4440,2710
Denominators are 388,540
The GCF of 4440,2710 is 10 .
LCM of 388,540 is 52380.
The greatest common factor of 4440/388,2710/540 = [GCF of 4440,2710]/[LCM of 388,540]= 10/52380
Therefore, the GCF of 4440/388,2710/540 is 10/52380.
To find the highest common factor of 4440,2710, we have to find the factors of both numbers and list the highest common factor.
The factors of 4440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220, 4440
The factors of 2710 are 1, 2, 5, 10, 271, 542, 1355, 2710
The HCF of 4440,2710 is 10.
Lets's calculate GCF of 4440,2710
| 2 | 4440, 2710 |
| 5 | 2220, 1355 |
| 444, 271 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4440,2710 By Matching Biggest Common Factor Method
Now, list down the factors of 4440
:1,2,3,4,5,6,8,10,12,15,20,24,30,37,40,60,74,111,120,148,185,222,296,370,444,555,740,888,1110,1480,2220,4440
Now, list down the factors of 2710
:1,2,5,10,271,542,1355,2710
Greatest Common Factor
We found the factors 4440,2710 . The biggest common factor number is the GCF number.
So the greatest common factor 4440,2710 is 10.
Lets's calculate LCM of 388,540
| 2 | 388, 540 |
| 2 | 194, 270 |
| 97, 135 |
∴ So the LCM of the given numbers is 2 x 2 x 97 x 135 = 52380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/52380
Therefore, the GCF of Fractions 4440/388,2710/540 is 10/52380
Least Common Multiple of 388,540 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 388,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,540) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(388,540) x common factors =4 x 1 = 4
LCM(388,540) = ( 388 × 540 ) / 4
LCM(388,540) = 209520 / 4
LCM(388,540) = 52380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4440/388, 2710/540
1. What is the HCF of 4440,2710?
The HCF of 4440,2710 is 10
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 4440/388, 2710/540?
Answer: GCF of Numerators as per given numbers 4440/388, 2710/540 is
GCF of Numerators i.e. for 4440,2710 is 10
LCM of denominators i.e. for 388,540 is 52380.
Thus, GCF of Fractions is 10/52380.Finally, GCF of Fractions for 4440/388, 2710/540 is 10/52380.