GCF of 4386/160, 7350/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4386/160, 7350/284 i.e 6/11360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4386/160, 7350/284.
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 4386/160,7350/284?
Given fractions are 4386/160,7350/284
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 4386/160,7350/284, numerators are 4386,7350
Denominators are 160,284
The GCF of 4386,7350 is 6 .
LCM of 160,284 is 11360.
The greatest common factor of 4386/160,7350/284 = [GCF of 4386,7350]/[LCM of 160,284]= 6/11360
Therefore, the GCF of 4386/160,7350/284 is 6/11360.
To find the highest common factor of 4386,7350, we have to find the factors of both numbers and list the highest common factor.
The factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386
The factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350
The HCF of 4386,7350 is 6.
Lets's calculate GCF of 4386,7350
| 2 | 4386, 7350 |
| 3 | 2193, 3675 |
| 731, 1225 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4386,7350 By Matching Biggest Common Factor Method
Now, list down the factors of 4386
:1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
Now, list down the factors of 7350
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350
Greatest Common Factor
We found the factors 4386,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 4386,7350 is 6.
Lets's calculate LCM of 160,284
| 2 | 160, 284 |
| 2 | 80, 142 |
| 40, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 40 x 71 = 11360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/11360
Therefore, the GCF of Fractions 4386/160,7350/284 is 6/11360
Least Common Multiple of 160,284 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 160,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,284) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(160,284) x common factors =4 x 1 = 4
LCM(160,284) = ( 160 × 284 ) / 4
LCM(160,284) = 45440 / 4
LCM(160,284) = 11360
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FAQs on GCF of Fractions of 4386/160, 7350/284
1. What is the HCF of 4386,7350?
The HCF of 4386,7350 is 6
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 4386/160, 7350/284?
Answer: GCF of Numerators as per given numbers 4386/160, 7350/284 is
GCF of Numerators i.e. for 4386,7350 is 6
LCM of denominators i.e. for 160,284 is 11360.
Thus, GCF of Fractions is 6/11360.Finally, GCF of Fractions for 4386/160, 7350/284 is 6/11360.