GCF of 8187/776, 9730/5498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8187/776, 9730/5498 i.e 1/2133224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8187/776, 9730/5498.
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 8187/776,9730/5498?
Given fractions are 8187/776,9730/5498
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 8187/776,9730/5498, numerators are 8187,9730
Denominators are 776,5498
The GCF of 8187,9730 is 1 .
LCM of 776,5498 is 2133224.
The greatest common factor of 8187/776,9730/5498 = [GCF of 8187,9730]/[LCM of 776,5498]= 1/2133224
Therefore, the GCF of 8187/776,9730/5498 is 1/2133224.
To find the highest common factor of 8187,9730, we have to find the factors of both numbers and list the highest common factor.
The factors of 8187 are 1, 3, 2729, 8187
The factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730
The HCF of 8187,9730 is 1.
Lets's calculate GCF of 8187,9730
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8187,9730 By Matching Biggest Common Factor Method
Now, list down the factors of 8187
:1,3,2729,8187
Now, list down the factors of 9730
:1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730
Greatest Common Factor
We found the factors 8187,9730 . The biggest common factor number is the GCF number.
So the greatest common factor 8187,9730 is 1.
Lets's calculate LCM of 776,5498
| 2 | 776, 5498 |
| 388, 2749 |
∴ So the LCM of the given numbers is 2 x 388 x 2749 = 2133224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2133224
Therefore, the GCF of Fractions 8187/776,9730/5498 is 1/2133224
Least Common Multiple of 776,5498 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 776,5498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,5498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(776,5498) x common factors =2 x 1 = 2
LCM(776,5498) = ( 776 × 5498 ) / 2
LCM(776,5498) = 4266448 / 2
LCM(776,5498) = 2133224
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FAQs on GCF of Fractions of 8187/776, 9730/5498
1. What is the HCF of 8187,9730?
The HCF of 8187,9730 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 8187/776, 9730/5498?
Answer: GCF of Numerators as per given numbers 8187/776, 9730/5498 is
GCF of Numerators i.e. for 8187,9730 is 1
LCM of denominators i.e. for 776,5498 is 2133224.
Thus, GCF of Fractions is 1/2133224.Finally, GCF of Fractions for 8187/776, 9730/5498 is 1/2133224.