GCF of 8981/296, 7350/5860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8981/296, 7350/5860 i.e 7/433640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8981/296, 7350/5860.
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 8981/296,7350/5860?
Given fractions are 8981/296,7350/5860
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 8981/296,7350/5860, numerators are 8981,7350
Denominators are 296,5860
The GCF of 8981,7350 is 7 .
LCM of 296,5860 is 433640.
The greatest common factor of 8981/296,7350/5860 = [GCF of 8981,7350]/[LCM of 296,5860]= 7/433640
Therefore, the GCF of 8981/296,7350/5860 is 7/433640.
To find the highest common factor of 8981,7350, we have to find the factors of both numbers and list the highest common factor.
The factors of 8981 are 1, 7, 1283, 8981
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 8981,7350 is 7.
Lets's calculate GCF of 8981,7350
| 7 | 8981, 7350 |
| 1283, 1050 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8981,7350 By Matching Biggest Common Factor Method
Now, list down the factors of 8981
:1,7,1283,8981
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 8981,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 8981,7350 is 7.
Lets's calculate LCM of 296,5860
| 2 | 296, 5860 |
| 2 | 148, 2930 |
| 74, 1465 |
∴ So the LCM of the given numbers is 2 x 2 x 74 x 1465 = 433640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/433640
Therefore, the GCF of Fractions 8981/296,7350/5860 is 7/433640
Least Common Multiple of 296,5860 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 296,5860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,5860) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(296,5860) x common factors =4 x 1 = 4
LCM(296,5860) = ( 296 × 5860 ) / 4
LCM(296,5860) = 1734560 / 4
LCM(296,5860) = 433640
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FAQs on GCF of Fractions of 8981/296, 7350/5860
1. What is the HCF of 8981,7350?
The HCF of 8981,7350 is 7
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 8981/296, 7350/5860?
Answer: GCF of Numerators as per given numbers 8981/296, 7350/5860 is
GCF of Numerators i.e. for 8981,7350 is 7
LCM of denominators i.e. for 296,5860 is 433640.
Thus, GCF of Fractions is 7/433640.Finally, GCF of Fractions for 8981/296, 7350/5860 is 7/433640.