GCF of 6349/150, 7729/9874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6349/150, 7729/9874 i.e 1/740550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6349/150, 7729/9874.
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 6349/150,7729/9874?
Given fractions are 6349/150,7729/9874
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 6349/150,7729/9874, numerators are 6349,7729
Denominators are 150,9874
The GCF of 6349,7729 is 1 .
LCM of 150,9874 is 740550.
The greatest common factor of 6349/150,7729/9874 = [GCF of 6349,7729]/[LCM of 150,9874]= 1/740550
Therefore, the GCF of 6349/150,7729/9874 is 1/740550.
To find the highest common factor of 6349,7729, we have to find the factors of both numbers and list the highest common factor.
The factors of 6349 are 1, 7, 907, 6349
The factors of 7729 are 1, 59, 131, 7729
The HCF of 6349,7729 is 1.
Lets's calculate GCF of 6349,7729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6349,7729 By Matching Biggest Common Factor Method
Now, list down the factors of 6349
:1,7,907,6349
Now, list down the factors of 7729
:1,59,131,7729
Greatest Common Factor
We found the factors 6349,7729 . The biggest common factor number is the GCF number.
So the greatest common factor 6349,7729 is 1.
Lets's calculate LCM of 150,9874
| 2 | 150, 9874 |
| 75, 4937 |
∴ So the LCM of the given numbers is 2 x 75 x 4937 = 740550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/740550
Therefore, the GCF of Fractions 6349/150,7729/9874 is 1/740550
Least Common Multiple of 150,9874 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 150,9874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,9874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(150,9874) x common factors =2 x 1 = 2
LCM(150,9874) = ( 150 × 9874 ) / 2
LCM(150,9874) = 1481100 / 2
LCM(150,9874) = 740550
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FAQs on GCF of Fractions of 6349/150, 7729/9874
1. What is the HCF of 6349,7729?
The HCF of 6349,7729 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 6349/150, 7729/9874?
Answer: GCF of Numerators as per given numbers 6349/150, 7729/9874 is
GCF of Numerators i.e. for 6349,7729 is 1
LCM of denominators i.e. for 150,9874 is 740550.
Thus, GCF of Fractions is 1/740550.Finally, GCF of Fractions for 6349/150, 7729/9874 is 1/740550.