Use our free GCF of Fractions Calculator tool to compute the GCF of 1235/623, 2524/6112 i.e 1/3807776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1235/623, 2524/6112.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1235/623,2524/6112
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 1235/623,2524/6112, numerators are 1235,2524
Denominators are 623,6112
The GCF of 1235,2524 is 1 .
LCM of 623,6112 is 3807776.
The greatest common factor of 1235/623,2524/6112 = [GCF of 1235,2524]/[LCM of 623,6112]= 1/3807776
Therefore, the GCF of 1235/623,2524/6112 is 1/3807776.
To find the highest common factor of 1235,2524, we have to find the factors of both numbers and list the highest common factor.
The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235
The factors of 2524 are 1, 2, 4, 631, 1262, 2524
The HCF of 1235,2524 is 1.
Lets's calculate GCF of 1235,2524
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1235
:1,5,13,19,65,95,247,1235
Now, list down the factors of 2524
:1,2,4,631,1262,2524
Greatest Common Factor
We found the factors 1235,2524 . The biggest common factor number is the GCF number.
So the greatest common factor 1235,2524 is 1.
Lets's calculate LCM of 623,6112
Given numbers has no common factors except 1. So, there LCM is their product i.e 3807776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3807776
Therefore, the GCF of Fractions 1235/623,2524/6112 is 1/3807776
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 623,6112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,6112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,6112) x common factors =1 x 1 = 1
LCM(623,6112) = ( 623 × 6112 ) / 1
LCM(623,6112) = 3807776 / 1
LCM(623,6112) = 3807776
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1235,2524?
The HCF of 1235,2524 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 1235/623, 2524/6112?
Answer: GCF of Numerators as per given numbers 1235/623, 2524/6112 is
GCF of Numerators i.e. for 1235,2524 is 1
LCM of denominators i.e. for 623,6112 is 3807776.
Thus, GCF of Fractions is 1/3807776.Finally, GCF of Fractions for 1235/623, 2524/6112 is 1/3807776.