GCF of 9866/514, 7834/507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9866/514, 7834/507 i.e 2/260598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9866/514, 7834/507.
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 9866/514,7834/507?
Given fractions are 9866/514,7834/507
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 9866/514,7834/507, numerators are 9866,7834
Denominators are 514,507
The GCF of 9866,7834 is 2 .
LCM of 514,507 is 260598.
The greatest common factor of 9866/514,7834/507 = [GCF of 9866,7834]/[LCM of 514,507]= 2/260598
Therefore, the GCF of 9866/514,7834/507 is 2/260598.
To find the highest common factor of 9866,7834, we have to find the factors of both numbers and list the highest common factor.
The factors of 9866 are 1, 2, 4933, 9866
The factors of 7834 are 1, 2, 3917, 7834
The HCF of 9866,7834 is 2.
Lets's calculate GCF of 9866,7834
| 2 | 9866, 7834 |
| 4933, 3917 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9866,7834 By Matching Biggest Common Factor Method
Now, list down the factors of 9866
:1,2,4933,9866
Now, list down the factors of 7834
:1,2,3917,7834
Greatest Common Factor
We found the factors 9866,7834 . The biggest common factor number is the GCF number.
So the greatest common factor 9866,7834 is 2.
Lets's calculate LCM of 514,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 260598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/260598
Therefore, the GCF of Fractions 9866/514,7834/507 is 2/260598
Least Common Multiple of 514,507 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 514,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,507) x common factors =1 x 1 = 1
LCM(514,507) = ( 514 × 507 ) / 1
LCM(514,507) = 260598 / 1
LCM(514,507) = 260598
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FAQs on GCF of Fractions of 9866/514, 7834/507
1. What is the HCF of 9866,7834?
The HCF of 9866,7834 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 9866/514, 7834/507?
Answer: GCF of Numerators as per given numbers 9866/514, 7834/507 is
GCF of Numerators i.e. for 9866,7834 is 2
LCM of denominators i.e. for 514,507 is 260598.
Thus, GCF of Fractions is 2/260598.Finally, GCF of Fractions for 9866/514, 7834/507 is 2/260598.