Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 653/8642,703/9489
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 653,703
Greatest Common Factor of Numerators i.e. GCF of 653,703 is 1 .
LCM of Denominators means LCM of 8642,9489 as per the given fractions.
LCM of 8642,9489 is 82003938 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 653,703
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Greatest Common Factor
We found the factors 653,703 . The biggest common factor number is the GCF number.
So the greatest common factor 653,703 is 1.
Lets's calculate LCM of 8642,9489
Given numbers has no common factors except 1. So, there LCM is their product i.e 82003938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82003938
Therefore, the GCF of Fractions 653/8642,703/9489 is 1/82003938
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 8642,9489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8642,9489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8642,9489) x common factors =1 x 1 = 1
LCM(8642,9489) = ( 8642 × 9489 ) / 1
LCM(8642,9489) = 82003938 / 1
LCM(8642,9489) = 82003938
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 653/8642, 703/9489?
Answer: GCF of Numerators as per given numbers 653/8642, 703/9489 is
GCF of Numerators i.e. for 653,703 is 1
LCM of denominators i.e. for 8642,9489 is 82003938.
Thus, GCF of Fractions is 1/82003938.Finally, GCF of Fractions for 653/8642, 703/9489 is 1/82003938.