GCF of 4994/285, 1936/6519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4994/285, 1936/6519 i.e 22/619305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4994/285, 1936/6519.
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 4994/285,1936/6519?
Given fractions are 4994/285,1936/6519
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 4994/285,1936/6519, numerators are 4994,1936
Denominators are 285,6519
The GCF of 4994,1936 is 22 .
LCM of 285,6519 is 619305.
The greatest common factor of 4994/285,1936/6519 = [GCF of 4994,1936]/[LCM of 285,6519]= 22/619305
Therefore, the GCF of 4994/285,1936/6519 is 22/619305.
To find the highest common factor of 4994,1936, we have to find the factors of both numbers and list the highest common factor.
The factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994
The factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936
The HCF of 4994,1936 is 22.
Lets's calculate GCF of 4994,1936
| 2 | 4994, 1936 |
| 11 | 2497, 968 |
| 227, 88 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 4994,1936 By Matching Biggest Common Factor Method
Now, list down the factors of 4994
:1,2,11,22,227,454,2497,4994
Now, list down the factors of 1936
:1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936
Greatest Common Factor
We found the factors 4994,1936 . The biggest common factor number is the GCF number.
So the greatest common factor 4994,1936 is 22.
Lets's calculate LCM of 285,6519
| 3 | 285, 6519 |
| 95, 2173 |
∴ So the LCM of the given numbers is 3 x 95 x 2173 = 619305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/619305
Therefore, the GCF of Fractions 4994/285,1936/6519 is 22/619305
Least Common Multiple of 285,6519 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 285,6519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,6519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(285,6519) x common factors =3 x 1 = 3
LCM(285,6519) = ( 285 × 6519 ) / 3
LCM(285,6519) = 1857915 / 3
LCM(285,6519) = 619305
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FAQs on GCF of Fractions of 4994/285, 1936/6519
1. What is the HCF of 4994,1936?
The HCF of 4994,1936 is 22
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 4994/285, 1936/6519?
Answer: GCF of Numerators as per given numbers 4994/285, 1936/6519 is
GCF of Numerators i.e. for 4994,1936 is 22
LCM of denominators i.e. for 285,6519 is 619305.
Thus, GCF of Fractions is 22/619305.Finally, GCF of Fractions for 4994/285, 1936/6519 is 22/619305.