Use our free GCF of Fractions Calculator tool to compute the GCF of 7612/314, 6195/9416 i.e 1/1478312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7612/314, 6195/9416.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7612/314,6195/9416
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 7612/314,6195/9416, numerators are 7612,6195
Denominators are 314,9416
The GCF of 7612,6195 is 1 .
LCM of 314,9416 is 1478312.
The greatest common factor of 7612/314,6195/9416 = [GCF of 7612,6195]/[LCM of 314,9416]= 1/1478312
Therefore, the GCF of 7612/314,6195/9416 is 1/1478312.
To find the highest common factor of 7612,6195, we have to find the factors of both numbers and list the highest common factor.
The factors of 7612 are 1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612
The factors of 6195 are 1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065, 6195
The HCF of 7612,6195 is 1.
Lets's calculate GCF of 7612,6195
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7612
:1,2,4,11,22,44,173,346,692,1903,3806,7612
Now, list down the factors of 6195
:1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195
Greatest Common Factor
We found the factors 7612,6195 . The biggest common factor number is the GCF number.
So the greatest common factor 7612,6195 is 1.
Lets's calculate LCM of 314,9416
2 | 314, 9416 |
157, 4708 |
∴ So the LCM of the given numbers is 2 x 157 x 4708 = 1478312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1478312
Therefore, the GCF of Fractions 7612/314,6195/9416 is 1/1478312
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 314,9416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,9416) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,9416) x common factors =2 x 1 = 2
LCM(314,9416) = ( 314 × 9416 ) / 2
LCM(314,9416) = 2956624 / 2
LCM(314,9416) = 1478312
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7612,6195?
The HCF of 7612,6195 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 7612/314, 6195/9416?
Answer: GCF of Numerators as per given numbers 7612/314, 6195/9416 is
GCF of Numerators i.e. for 7612,6195 is 1
LCM of denominators i.e. for 314,9416 is 1478312.
Thus, GCF of Fractions is 1/1478312.Finally, GCF of Fractions for 7612/314, 6195/9416 is 1/1478312.