Use our free GCF of Fractions Calculator tool to compute the GCF of 1508/105, 7645/8648 i.e 1/908040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1508/105, 7645/8648.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1508/105,7645/8648
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 1508/105,7645/8648, numerators are 1508,7645
Denominators are 105,8648
The GCF of 1508,7645 is 1 .
LCM of 105,8648 is 908040.
The greatest common factor of 1508/105,7645/8648 = [GCF of 1508,7645]/[LCM of 105,8648]= 1/908040
Therefore, the GCF of 1508/105,7645/8648 is 1/908040.
To find the highest common factor of 1508,7645, we have to find the factors of both numbers and list the highest common factor.
The factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
The factors of 7645 are 1, 5, 11, 55, 139, 695, 1529, 7645
The HCF of 1508,7645 is 1.
Lets's calculate GCF of 1508,7645
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1508
:1,2,4,13,26,29,52,58,116,377,754,1508
Now, list down the factors of 7645
:1,5,11,55,139,695,1529,7645
Greatest Common Factor
We found the factors 1508,7645 . The biggest common factor number is the GCF number.
So the greatest common factor 1508,7645 is 1.
Lets's calculate LCM of 105,8648
Given numbers has no common factors except 1. So, there LCM is their product i.e 908040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/908040
Therefore, the GCF of Fractions 1508/105,7645/8648 is 1/908040
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 105,8648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,8648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,8648) x common factors =1 x 1 = 1
LCM(105,8648) = ( 105 × 8648 ) / 1
LCM(105,8648) = 908040 / 1
LCM(105,8648) = 908040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1508,7645?
The HCF of 1508,7645 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 1508/105, 7645/8648?
Answer: GCF of Numerators as per given numbers 1508/105, 7645/8648 is
GCF of Numerators i.e. for 1508,7645 is 1
LCM of denominators i.e. for 105,8648 is 908040.
Thus, GCF of Fractions is 1/908040.Finally, GCF of Fractions for 1508/105, 7645/8648 is 1/908040.