GCF of 1191/622, 3230/9998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1191/622, 3230/9998 i.e 1/3109378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1191/622, 3230/9998.
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 1191/622,3230/9998?
Given fractions are 1191/622,3230/9998
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 1191/622,3230/9998, numerators are 1191,3230
Denominators are 622,9998
The GCF of 1191,3230 is 1 .
LCM of 622,9998 is 3109378.
The greatest common factor of 1191/622,3230/9998 = [GCF of 1191,3230]/[LCM of 622,9998]= 1/3109378
Therefore, the GCF of 1191/622,3230/9998 is 1/3109378.
To find the highest common factor of 1191,3230, we have to find the factors of both numbers and list the highest common factor.
The factors of 1191 are 1, 3, 397, 1191
The factors of 3230 are 1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230
The HCF of 1191,3230 is 1.
Lets's calculate GCF of 1191,3230
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1191,3230 By Matching Biggest Common Factor Method
Now, list down the factors of 1191
:1,3,397,1191
Now, list down the factors of 3230
:1,2,5,10,17,19,34,38,85,95,170,190,323,646,1615,3230
Greatest Common Factor
We found the factors 1191,3230 . The biggest common factor number is the GCF number.
So the greatest common factor 1191,3230 is 1.
Lets's calculate LCM of 622,9998
| 2 | 622, 9998 |
| 311, 4999 |
∴ So the LCM of the given numbers is 2 x 311 x 4999 = 3109378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3109378
Therefore, the GCF of Fractions 1191/622,3230/9998 is 1/3109378
Least Common Multiple of 622,9998 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 622,9998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,9998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,9998) x common factors =2 x 1 = 2
LCM(622,9998) = ( 622 × 9998 ) / 2
LCM(622,9998) = 6218756 / 2
LCM(622,9998) = 3109378
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FAQs on GCF of Fractions of 1191/622, 3230/9998
1. What is the HCF of 1191,3230?
The HCF of 1191,3230 is 1
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 1191/622, 3230/9998?
Answer: GCF of Numerators as per given numbers 1191/622, 3230/9998 is
GCF of Numerators i.e. for 1191,3230 is 1
LCM of denominators i.e. for 622,9998 is 3109378.
Thus, GCF of Fractions is 1/3109378.Finally, GCF of Fractions for 1191/622, 3230/9998 is 1/3109378.