GCF of 649/305, 6413/995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 649/305, 6413/995 i.e 11/60695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 649/305, 6413/995.
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 649/305,6413/995?
Given fractions are 649/305,6413/995
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 649/305,6413/995, numerators are 649,6413
Denominators are 305,995
The GCF of 649,6413 is 11 .
LCM of 305,995 is 60695.
The greatest common factor of 649/305,6413/995 = [GCF of 649,6413]/[LCM of 305,995]= 11/60695
Therefore, the GCF of 649/305,6413/995 is 11/60695.
To find the highest common factor of 649,6413, we have to find the factors of both numbers and list the highest common factor.
The factors of 649 are 1, 11, 59, 649
The factors of 6413 are 1, 11, 53, 121, 583, 6413
The HCF of 649,6413 is 11.
Lets's calculate GCF of 649,6413
| 11 | 649, 6413 |
| 59, 583 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 649,6413 By Matching Biggest Common Factor Method
Now, list down the factors of 649
:1,11,59,649
Now, list down the factors of 6413
:1,11,53,121,583,6413
Greatest Common Factor
We found the factors 649,6413 . The biggest common factor number is the GCF number.
So the greatest common factor 649,6413 is 11.
Lets's calculate LCM of 305,995
| 5 | 305, 995 |
| 61, 199 |
∴ So the LCM of the given numbers is 5 x 61 x 199 = 60695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/60695
Therefore, the GCF of Fractions 649/305,6413/995 is 11/60695
Least Common Multiple of 305,995 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 305,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,995) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,995) x common factors =5 x 1 = 5
LCM(305,995) = ( 305 × 995 ) / 5
LCM(305,995) = 303475 / 5
LCM(305,995) = 60695
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FAQs on GCF of Fractions of 649/305, 6413/995
1. What is the HCF of 649,6413?
The HCF of 649,6413 is 11
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 649/305, 6413/995?
Answer: GCF of Numerators as per given numbers 649/305, 6413/995 is
GCF of Numerators i.e. for 649,6413 is 11
LCM of denominators i.e. for 305,995 is 60695.
Thus, GCF of Fractions is 11/60695.Finally, GCF of Fractions for 649/305, 6413/995 is 11/60695.