Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1587/424,1488/7025
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 1587,1488
Greatest Common Factor of Numerators i.e. GCF of 1587,1488 is 3 .
LCM of Denominators means LCM of 424,7025 as per the given fractions.
LCM of 424,7025 is 2978600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1587,1488
3 | 1587, 1488 |
529, 496 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1587
List of positive integer factors of 1587 that divides 1587 without a remainder.
1,3,23,69,529,1587
Factors of 1488
List of positive integer factors of 1488 that divides 1488 without a remainder.
1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488
Greatest Common Factor
We found the factors 1587,1488 . The biggest common factor number is the GCF number.
So the greatest common factor 1587,1488 is 3.
Lets's calculate LCM of 424,7025
Given numbers has no common factors except 1. So, there LCM is their product i.e 2978600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2978600
Therefore, the GCF of Fractions 1587/424,1488/7025 is 3/2978600
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 424,7025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,7025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,7025) x common factors =1 x 1 = 1
LCM(424,7025) = ( 424 × 7025 ) / 1
LCM(424,7025) = 2978600 / 1
LCM(424,7025) = 2978600
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 1587/424, 1488/7025?
Answer: GCF of Numerators as per given numbers 1587/424, 1488/7025 is
GCF of Numerators i.e. for 1587,1488 is 3
LCM of denominators i.e. for 424,7025 is 2978600.
Thus, GCF of Fractions is 3/2978600.Finally, GCF of Fractions for 1587/424, 1488/7025 is 3/2978600.