GCF of 4340/889, 2400/308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4340/889, 2400/308 i.e 20/39116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4340/889, 2400/308.
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 4340/889,2400/308?
Given fractions are 4340/889,2400/308
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 4340/889,2400/308, numerators are 4340,2400
Denominators are 889,308
The GCF of 4340,2400 is 20 .
LCM of 889,308 is 39116.
The greatest common factor of 4340/889,2400/308 = [GCF of 4340,2400]/[LCM of 889,308]= 20/39116
Therefore, the GCF of 4340/889,2400/308 is 20/39116.
To find the highest common factor of 4340,2400, we have to find the factors of both numbers and list the highest common factor.
The factors of 4340 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170, 4340
The factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400
The HCF of 4340,2400 is 20.
Lets's calculate GCF of 4340,2400
| 2 | 4340, 2400 |
| 2 | 2170, 1200 |
| 5 | 1085, 600 |
| 217, 120 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4340,2400 By Matching Biggest Common Factor Method
Now, list down the factors of 4340
:1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340
Now, list down the factors of 2400
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400
Greatest Common Factor
We found the factors 4340,2400 . The biggest common factor number is the GCF number.
So the greatest common factor 4340,2400 is 20.
Lets's calculate LCM of 889,308
| 7 | 889, 308 |
| 127, 44 |
∴ So the LCM of the given numbers is 7 x 127 x 44 = 39116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/39116
Therefore, the GCF of Fractions 4340/889,2400/308 is 20/39116
Least Common Multiple of 889,308 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 889,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,308) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(889,308) x common factors =7 x 1 = 7
LCM(889,308) = ( 889 × 308 ) / 7
LCM(889,308) = 273812 / 7
LCM(889,308) = 39116
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FAQs on GCF of Fractions of 4340/889, 2400/308
1. What is the HCF of 4340,2400?
The HCF of 4340,2400 is 20
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 4340/889, 2400/308?
Answer: GCF of Numerators as per given numbers 4340/889, 2400/308 is
GCF of Numerators i.e. for 4340,2400 is 20
LCM of denominators i.e. for 889,308 is 39116.
Thus, GCF of Fractions is 20/39116.Finally, GCF of Fractions for 4340/889, 2400/308 is 20/39116.