GCF of 4392/336, 6500/5091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4392/336, 6500/5091 i.e 4/570192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4392/336, 6500/5091.
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 4392/336,6500/5091?
Given fractions are 4392/336,6500/5091
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 4392/336,6500/5091, numerators are 4392,6500
Denominators are 336,5091
The GCF of 4392,6500 is 4 .
LCM of 336,5091 is 570192.
The greatest common factor of 4392/336,6500/5091 = [GCF of 4392,6500]/[LCM of 336,5091]= 4/570192
Therefore, the GCF of 4392/336,6500/5091 is 4/570192.
To find the highest common factor of 4392,6500, we have to find the factors of both numbers and list the highest common factor.
The factors of 4392 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392
The factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500
The HCF of 4392,6500 is 4.
Lets's calculate GCF of 4392,6500
| 2 | 4392, 6500 |
| 2 | 2196, 3250 |
| 1098, 1625 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4392,6500 By Matching Biggest Common Factor Method
Now, list down the factors of 4392
:1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392
Now, list down the factors of 6500
:1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500
Greatest Common Factor
We found the factors 4392,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 4392,6500 is 4.
Lets's calculate LCM of 336,5091
| 3 | 336, 5091 |
| 112, 1697 |
∴ So the LCM of the given numbers is 3 x 112 x 1697 = 570192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/570192
Therefore, the GCF of Fractions 4392/336,6500/5091 is 4/570192
Least Common Multiple of 336,5091 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 336,5091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,5091) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(336,5091) x common factors =3 x 1 = 3
LCM(336,5091) = ( 336 × 5091 ) / 3
LCM(336,5091) = 1710576 / 3
LCM(336,5091) = 570192
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FAQs on GCF of Fractions of 4392/336, 6500/5091
1. What is the HCF of 4392,6500?
The HCF of 4392,6500 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 4392/336, 6500/5091?
Answer: GCF of Numerators as per given numbers 4392/336, 6500/5091 is
GCF of Numerators i.e. for 4392,6500 is 4
LCM of denominators i.e. for 336,5091 is 570192.
Thus, GCF of Fractions is 4/570192.Finally, GCF of Fractions for 4392/336, 6500/5091 is 4/570192.