GCF of 1924/613, 6298/184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1924/613, 6298/184 i.e 2/112792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1924/613, 6298/184.
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 1924/613,6298/184?
Given fractions are 1924/613,6298/184
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 1924/613,6298/184, numerators are 1924,6298
Denominators are 613,184
The GCF of 1924,6298 is 2 .
LCM of 613,184 is 112792.
The greatest common factor of 1924/613,6298/184 = [GCF of 1924,6298]/[LCM of 613,184]= 2/112792
Therefore, the GCF of 1924/613,6298/184 is 2/112792.
To find the highest common factor of 1924,6298, we have to find the factors of both numbers and list the highest common factor.
The factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924
The factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298
The HCF of 1924,6298 is 2.
Lets's calculate GCF of 1924,6298
| 2 | 1924, 6298 |
| 962, 3149 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1924,6298 By Matching Biggest Common Factor Method
Now, list down the factors of 1924
:1,2,4,13,26,37,52,74,148,481,962,1924
Now, list down the factors of 6298
:1,2,47,67,94,134,3149,6298
Greatest Common Factor
We found the factors 1924,6298 . The biggest common factor number is the GCF number.
So the greatest common factor 1924,6298 is 2.
Lets's calculate LCM of 613,184
Given numbers has no common factors except 1. So, there LCM is their product i.e 112792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112792
Therefore, the GCF of Fractions 1924/613,6298/184 is 2/112792
Least Common Multiple of 613,184 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 613,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,184) x common factors =1 x 1 = 1
LCM(613,184) = ( 613 × 184 ) / 1
LCM(613,184) = 112792 / 1
LCM(613,184) = 112792
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FAQs on GCF of Fractions of 1924/613, 6298/184
1. What is the HCF of 1924,6298?
The HCF of 1924,6298 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 1924/613, 6298/184?
Answer: GCF of Numerators as per given numbers 1924/613, 6298/184 is
GCF of Numerators i.e. for 1924,6298 is 2
LCM of denominators i.e. for 613,184 is 112792.
Thus, GCF of Fractions is 2/112792.Finally, GCF of Fractions for 1924/613, 6298/184 is 2/112792.