GCF of 1222/600, 7839/3109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1222/600, 7839/3109 i.e 13/1865400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1222/600, 7839/3109.
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 1222/600,7839/3109?
Given fractions are 1222/600,7839/3109
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 1222/600,7839/3109, numerators are 1222,7839
Denominators are 600,3109
The GCF of 1222,7839 is 13 .
LCM of 600,3109 is 1865400.
The greatest common factor of 1222/600,7839/3109 = [GCF of 1222,7839]/[LCM of 600,3109]= 13/1865400
Therefore, the GCF of 1222/600,7839/3109 is 13/1865400.
To find the highest common factor of 1222,7839, we have to find the factors of both numbers and list the highest common factor.
The factors of 1222 are 1, 2, 13, 26, 47, 94, 611, 1222
The factors of 7839 are 1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839
The HCF of 1222,7839 is 13.
Lets's calculate GCF of 1222,7839
| 13 | 1222, 7839 |
| 94, 603 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1222,7839 By Matching Biggest Common Factor Method
Now, list down the factors of 1222
:1,2,13,26,47,94,611,1222
Now, list down the factors of 7839
:1,3,9,13,39,67,117,201,603,871,2613,7839
Greatest Common Factor
We found the factors 1222,7839 . The biggest common factor number is the GCF number.
So the greatest common factor 1222,7839 is 13.
Lets's calculate LCM of 600,3109
Given numbers has no common factors except 1. So, there LCM is their product i.e 1865400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1865400
Therefore, the GCF of Fractions 1222/600,7839/3109 is 13/1865400
Least Common Multiple of 600,3109 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 600,3109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,3109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(600,3109) x common factors =1 x 1 = 1
LCM(600,3109) = ( 600 × 3109 ) / 1
LCM(600,3109) = 1865400 / 1
LCM(600,3109) = 1865400
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FAQs on GCF of Fractions of 1222/600, 7839/3109
1. What is the HCF of 1222,7839?
The HCF of 1222,7839 is 13
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 1222/600, 7839/3109?
Answer: GCF of Numerators as per given numbers 1222/600, 7839/3109 is
GCF of Numerators i.e. for 1222,7839 is 13
LCM of denominators i.e. for 600,3109 is 1865400.
Thus, GCF of Fractions is 13/1865400.Finally, GCF of Fractions for 1222/600, 7839/3109 is 13/1865400.