Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6997/623,7915/661
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 6997,7915
Greatest Common Factor of Numerators i.e. GCF of 6997,7915 is 1 .
LCM of Denominators means LCM of 623,661 as per the given fractions.
LCM of 623,661 is 411803 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6997,7915
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6997
List of positive integer factors of 6997 that divides 6997 without a remainder.
1,6997
Factors of 7915
List of positive integer factors of 7915 that divides 7915 without a remainder.
1,5,1583,7915
Greatest Common Factor
We found the factors 6997,7915 . The biggest common factor number is the GCF number.
So the greatest common factor 6997,7915 is 1.
Lets's calculate LCM of 623,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 411803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411803
Therefore, the GCF of Fractions 6997/623,7915/661 is 1/411803
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 623,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,661) x common factors =1 x 1 = 1
LCM(623,661) = ( 623 × 661 ) / 1
LCM(623,661) = 411803 / 1
LCM(623,661) = 411803
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 6997/623, 7915/661?
Answer: GCF of Numerators as per given numbers 6997/623, 7915/661 is
GCF of Numerators i.e. for 6997,7915 is 1
LCM of denominators i.e. for 623,661 is 411803.
Thus, GCF of Fractions is 1/411803.Finally, GCF of Fractions for 6997/623, 7915/661 is 1/411803.