GCF of 1198/321, 2450/387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1198/321, 2450/387 i.e 2/41409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1198/321, 2450/387.
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 1198/321,2450/387?
Given fractions are 1198/321,2450/387
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 1198/321,2450/387, numerators are 1198,2450
Denominators are 321,387
The GCF of 1198,2450 is 2 .
LCM of 321,387 is 41409.
The greatest common factor of 1198/321,2450/387 = [GCF of 1198,2450]/[LCM of 321,387]= 2/41409
Therefore, the GCF of 1198/321,2450/387 is 2/41409.
To find the highest common factor of 1198,2450, we have to find the factors of both numbers and list the highest common factor.
The factors of 1198 are 1, 2, 599, 1198
The factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450
The HCF of 1198,2450 is 2.
Lets's calculate GCF of 1198,2450
| 2 | 1198, 2450 |
| 599, 1225 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1198,2450 By Matching Biggest Common Factor Method
Now, list down the factors of 1198
:1,2,599,1198
Now, list down the factors of 2450
:1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450
Greatest Common Factor
We found the factors 1198,2450 . The biggest common factor number is the GCF number.
So the greatest common factor 1198,2450 is 2.
Lets's calculate LCM of 321,387
| 3 | 321, 387 |
| 107, 129 |
∴ So the LCM of the given numbers is 3 x 107 x 129 = 41409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41409
Therefore, the GCF of Fractions 1198/321,2450/387 is 2/41409
Least Common Multiple of 321,387 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 321,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,387) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,387) x common factors =3 x 1 = 3
LCM(321,387) = ( 321 × 387 ) / 3
LCM(321,387) = 124227 / 3
LCM(321,387) = 41409
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FAQs on GCF of Fractions of 1198/321, 2450/387
1. What is the HCF of 1198,2450?
The HCF of 1198,2450 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 1198/321, 2450/387?
Answer: GCF of Numerators as per given numbers 1198/321, 2450/387 is
GCF of Numerators i.e. for 1198,2450 is 2
LCM of denominators i.e. for 321,387 is 41409.
Thus, GCF of Fractions is 2/41409.Finally, GCF of Fractions for 1198/321, 2450/387 is 2/41409.