Use our free GCF of Fractions Calculator tool to compute the GCF of 1531/509, 1553/2690 i.e 1/1369210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1531/509, 1553/2690.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1531/509,1553/2690
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 1531/509,1553/2690, numerators are 1531,1553
Denominators are 509,2690
The GCF of 1531,1553 is 1 .
LCM of 509,2690 is 1369210.
The greatest common factor of 1531/509,1553/2690 = [GCF of 1531,1553]/[LCM of 509,2690]= 1/1369210
Therefore, the GCF of 1531/509,1553/2690 is 1/1369210.
To find the highest common factor of 1531,1553, we have to find the factors of both numbers and list the highest common factor.
The factors of 1531 are 1, 1531
The factors of 1553 are 1, 1553
The HCF of 1531,1553 is 1.
Lets's calculate GCF of 1531,1553
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1531
:1,1531
Now, list down the factors of 1553
:1,1553
Greatest Common Factor
We found the factors 1531,1553 . The biggest common factor number is the GCF number.
So the greatest common factor 1531,1553 is 1.
Lets's calculate LCM of 509,2690
Given numbers has no common factors except 1. So, there LCM is their product i.e 1369210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1369210
Therefore, the GCF of Fractions 1531/509,1553/2690 is 1/1369210
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 509,2690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,2690) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,2690) x common factors =1 x 1 = 1
LCM(509,2690) = ( 509 × 2690 ) / 1
LCM(509,2690) = 1369210 / 1
LCM(509,2690) = 1369210
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1531,1553?
The HCF of 1531,1553 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 1531/509, 1553/2690?
Answer: GCF of Numerators as per given numbers 1531/509, 1553/2690 is
GCF of Numerators i.e. for 1531,1553 is 1
LCM of denominators i.e. for 509,2690 is 1369210.
Thus, GCF of Fractions is 1/1369210.Finally, GCF of Fractions for 1531/509, 1553/2690 is 1/1369210.