Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6433/760,1552/8661
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 6433,1552
Greatest Common Factor of Numerators i.e. GCF of 6433,1552 is 1 .
LCM of Denominators means LCM of 760,8661 as per the given fractions.
LCM of 760,8661 is 6582360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6433,1552
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6433
List of positive integer factors of 6433 that divides 6433 without a remainder.
1,7,919,6433
Factors of 1552
List of positive integer factors of 1552 that divides 1552 without a remainder.
1,2,4,8,16,97,194,388,776,1552
Greatest Common Factor
We found the factors 6433,1552 . The biggest common factor number is the GCF number.
So the greatest common factor 6433,1552 is 1.
Lets's calculate LCM of 760,8661
Given numbers has no common factors except 1. So, there LCM is their product i.e 6582360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6582360
Therefore, the GCF of Fractions 6433/760,1552/8661 is 1/6582360
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 760,8661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,8661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(760,8661) x common factors =1 x 1 = 1
LCM(760,8661) = ( 760 × 8661 ) / 1
LCM(760,8661) = 6582360 / 1
LCM(760,8661) = 6582360
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 6433/760, 1552/8661?
Answer: GCF of Numerators as per given numbers 6433/760, 1552/8661 is
GCF of Numerators i.e. for 6433,1552 is 1
LCM of denominators i.e. for 760,8661 is 6582360.
Thus, GCF of Fractions is 1/6582360.Finally, GCF of Fractions for 6433/760, 1552/8661 is 1/6582360.