GCF of 8507/789, 6138/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8507/789, 6138/612 i.e 1/160956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8507/789, 6138/612.
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 8507/789,6138/612?
Given fractions are 8507/789,6138/612
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 8507/789,6138/612, numerators are 8507,6138
Denominators are 789,612
The GCF of 8507,6138 is 1 .
LCM of 789,612 is 160956.
The greatest common factor of 8507/789,6138/612 = [GCF of 8507,6138]/[LCM of 789,612]= 1/160956
Therefore, the GCF of 8507/789,6138/612 is 1/160956.
To find the highest common factor of 8507,6138, we have to find the factors of both numbers and list the highest common factor.
The factors of 8507 are 1, 47, 181, 8507
The factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138
The HCF of 8507,6138 is 1.
Lets's calculate GCF of 8507,6138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8507,6138 By Matching Biggest Common Factor Method
Now, list down the factors of 8507
:1,47,181,8507
Now, list down the factors of 6138
:1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138
Greatest Common Factor
We found the factors 8507,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 8507,6138 is 1.
Lets's calculate LCM of 789,612
| 3 | 789, 612 |
| 263, 204 |
∴ So the LCM of the given numbers is 3 x 263 x 204 = 160956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160956
Therefore, the GCF of Fractions 8507/789,6138/612 is 1/160956
Least Common Multiple of 789,612 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 789,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,612) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,612) x common factors =3 x 1 = 3
LCM(789,612) = ( 789 × 612 ) / 3
LCM(789,612) = 482868 / 3
LCM(789,612) = 160956
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FAQs on GCF of Fractions of 8507/789, 6138/612
1. What is the HCF of 8507,6138?
The HCF of 8507,6138 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 8507/789, 6138/612?
Answer: GCF of Numerators as per given numbers 8507/789, 6138/612 is
GCF of Numerators i.e. for 8507,6138 is 1
LCM of denominators i.e. for 789,612 is 160956.
Thus, GCF of Fractions is 1/160956.Finally, GCF of Fractions for 8507/789, 6138/612 is 1/160956.