Use our free GCF of Fractions Calculator tool to compute the GCF of 7867/635, 2340/5731 i.e 1/3639185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7867/635, 2340/5731.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7867/635,2340/5731
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 7867/635,2340/5731, numerators are 7867,2340
Denominators are 635,5731
The GCF of 7867,2340 is 1 .
LCM of 635,5731 is 3639185.
The greatest common factor of 7867/635,2340/5731 = [GCF of 7867,2340]/[LCM of 635,5731]= 1/3639185
Therefore, the GCF of 7867/635,2340/5731 is 1/3639185.
To find the highest common factor of 7867,2340, we have to find the factors of both numbers and list the highest common factor.
The factors of 7867 are 1, 7867
The factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340
The HCF of 7867,2340 is 1.
Lets's calculate GCF of 7867,2340
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7867
:1,7867
Now, list down the factors of 2340
:1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340
Greatest Common Factor
We found the factors 7867,2340 . The biggest common factor number is the GCF number.
So the greatest common factor 7867,2340 is 1.
Lets's calculate LCM of 635,5731
Given numbers has no common factors except 1. So, there LCM is their product i.e 3639185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3639185
Therefore, the GCF of Fractions 7867/635,2340/5731 is 1/3639185
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 635,5731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,5731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,5731) x common factors =1 x 1 = 1
LCM(635,5731) = ( 635 × 5731 ) / 1
LCM(635,5731) = 3639185 / 1
LCM(635,5731) = 3639185
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7867,2340?
The HCF of 7867,2340 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 7867/635, 2340/5731?
Answer: GCF of Numerators as per given numbers 7867/635, 2340/5731 is
GCF of Numerators i.e. for 7867,2340 is 1
LCM of denominators i.e. for 635,5731 is 3639185.
Thus, GCF of Fractions is 1/3639185.Finally, GCF of Fractions for 7867/635, 2340/5731 is 1/3639185.