Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5359/697,8264/8028
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 5359,8264
Greatest Common Factor of Numerators i.e. GCF of 5359,8264 is 1 .
LCM of Denominators means LCM of 697,8028 as per the given fractions.
LCM of 697,8028 is 5595516 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5359,8264
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5359
List of positive integer factors of 5359 that divides 5359 without a remainder.
1,23,233,5359
Factors of 8264
List of positive integer factors of 8264 that divides 8264 without a remainder.
1,2,4,8,1033,2066,4132,8264
Greatest Common Factor
We found the factors 5359,8264 . The biggest common factor number is the GCF number.
So the greatest common factor 5359,8264 is 1.
Lets's calculate LCM of 697,8028
Given numbers has no common factors except 1. So, there LCM is their product i.e 5595516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5595516
Therefore, the GCF of Fractions 5359/697,8264/8028 is 1/5595516
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 697,8028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,8028) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,8028) x common factors =1 x 1 = 1
LCM(697,8028) = ( 697 × 8028 ) / 1
LCM(697,8028) = 5595516 / 1
LCM(697,8028) = 5595516
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 5359/697, 8264/8028?
Answer: GCF of Numerators as per given numbers 5359/697, 8264/8028 is
GCF of Numerators i.e. for 5359,8264 is 1
LCM of denominators i.e. for 697,8028 is 5595516.
Thus, GCF of Fractions is 1/5595516.Finally, GCF of Fractions for 5359/697, 8264/8028 is 1/5595516.