Use our free GCF of Fractions Calculator tool to compute the GCF of 1362/148, 8607/8153 i.e 3/1206644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1362/148, 8607/8153.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1362/148,8607/8153
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 1362/148,8607/8153, numerators are 1362,8607
Denominators are 148,8153
The GCF of 1362,8607 is 3 .
LCM of 148,8153 is 1206644.
The greatest common factor of 1362/148,8607/8153 = [GCF of 1362,8607]/[LCM of 148,8153]= 3/1206644
Therefore, the GCF of 1362/148,8607/8153 is 3/1206644.
To find the highest common factor of 1362,8607, we have to find the factors of both numbers and list the highest common factor.
The factors of 1362 are 1, 2, 3, 6, 227, 454, 681, 1362
The factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607
The HCF of 1362,8607 is 3.
Lets's calculate GCF of 1362,8607
3 | 1362, 8607 |
454, 2869 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 1362
:1,2,3,6,227,454,681,1362
Now, list down the factors of 8607
:1,3,19,57,151,453,2869,8607
Greatest Common Factor
We found the factors 1362,8607 . The biggest common factor number is the GCF number.
So the greatest common factor 1362,8607 is 3.
Lets's calculate LCM of 148,8153
Given numbers has no common factors except 1. So, there LCM is their product i.e 1206644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1206644
Therefore, the GCF of Fractions 1362/148,8607/8153 is 3/1206644
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 148,8153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,8153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,8153) x common factors =1 x 1 = 1
LCM(148,8153) = ( 148 × 8153 ) / 1
LCM(148,8153) = 1206644 / 1
LCM(148,8153) = 1206644
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1362,8607?
The HCF of 1362,8607 is 3
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 1362/148, 8607/8153?
Answer: GCF of Numerators as per given numbers 1362/148, 8607/8153 is
GCF of Numerators i.e. for 1362,8607 is 3
LCM of denominators i.e. for 148,8153 is 1206644.
Thus, GCF of Fractions is 3/1206644.Finally, GCF of Fractions for 1362/148, 8607/8153 is 3/1206644.