GCF of 2150/195, 5322/7990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2150/195, 5322/7990 i.e 2/311610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2150/195, 5322/7990.
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 2150/195,5322/7990?
Given fractions are 2150/195,5322/7990
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 2150/195,5322/7990, numerators are 2150,5322
Denominators are 195,7990
The GCF of 2150,5322 is 2 .
LCM of 195,7990 is 311610.
The greatest common factor of 2150/195,5322/7990 = [GCF of 2150,5322]/[LCM of 195,7990]= 2/311610
Therefore, the GCF of 2150/195,5322/7990 is 2/311610.
To find the highest common factor of 2150,5322, we have to find the factors of both numbers and list the highest common factor.
The factors of 2150 are 1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150
The factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322
The HCF of 2150,5322 is 2.
Lets's calculate GCF of 2150,5322
| 2 | 2150, 5322 |
| 1075, 2661 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2150,5322 By Matching Biggest Common Factor Method
Now, list down the factors of 2150
:1,2,5,10,25,43,50,86,215,430,1075,2150
Now, list down the factors of 5322
:1,2,3,6,887,1774,2661,5322
Greatest Common Factor
We found the factors 2150,5322 . The biggest common factor number is the GCF number.
So the greatest common factor 2150,5322 is 2.
Lets's calculate LCM of 195,7990
| 5 | 195, 7990 |
| 39, 1598 |
∴ So the LCM of the given numbers is 5 x 39 x 1598 = 311610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311610
Therefore, the GCF of Fractions 2150/195,5322/7990 is 2/311610
Least Common Multiple of 195,7990 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 195,7990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,7990) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(195,7990) x common factors =5 x 1 = 5
LCM(195,7990) = ( 195 × 7990 ) / 5
LCM(195,7990) = 1558050 / 5
LCM(195,7990) = 311610
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FAQs on GCF of Fractions of 2150/195, 5322/7990
1. What is the HCF of 2150,5322?
The HCF of 2150,5322 is 2
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 2150/195, 5322/7990?
Answer: GCF of Numerators as per given numbers 2150/195, 5322/7990 is
GCF of Numerators i.e. for 2150,5322 is 2
LCM of denominators i.e. for 195,7990 is 311610.
Thus, GCF of Fractions is 2/311610.Finally, GCF of Fractions for 2150/195, 5322/7990 is 2/311610.