Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 695/90,988/653
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 695,988
Greatest Common Factor of Numerators i.e. GCF of 695,988 is 1 .
LCM of Denominators means LCM of 90,653 as per the given fractions.
LCM of 90,653 is 58770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 695,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 695,988 . The biggest common factor number is the GCF number.
So the greatest common factor 695,988 is 1.
Lets's calculate LCM of 90,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 58770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58770
Therefore, the GCF of Fractions 695/90,988/653 is 1/58770
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 90,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,653) x common factors =1 x 1 = 1
LCM(90,653) = ( 90 × 653 ) / 1
LCM(90,653) = 58770 / 1
LCM(90,653) = 58770
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 695/90, 988/653?
Answer: GCF of Numerators as per given numbers 695/90, 988/653 is
GCF of Numerators i.e. for 695,988 is 1
LCM of denominators i.e. for 90,653 is 58770.
Thus, GCF of Fractions is 1/58770.Finally, GCF of Fractions for 695/90, 988/653 is 1/58770.