Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8261/865,7063/9249
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 8261,7063
Greatest Common Factor of Numerators i.e. GCF of 8261,7063 is 1 .
LCM of Denominators means LCM of 865,9249 as per the given fractions.
LCM of 865,9249 is 8000385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8261,7063
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8261
List of positive integer factors of 8261 that divides 8261 without a remainder.
1,11,751,8261
Factors of 7063
List of positive integer factors of 7063 that divides 7063 without a remainder.
1,7,1009,7063
Greatest Common Factor
We found the factors 8261,7063 . The biggest common factor number is the GCF number.
So the greatest common factor 8261,7063 is 1.
Lets's calculate LCM of 865,9249
Given numbers has no common factors except 1. So, there LCM is their product i.e 8000385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8000385
Therefore, the GCF of Fractions 8261/865,7063/9249 is 1/8000385
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 865,9249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,9249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,9249) x common factors =1 x 1 = 1
LCM(865,9249) = ( 865 × 9249 ) / 1
LCM(865,9249) = 8000385 / 1
LCM(865,9249) = 8000385
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 8261/865, 7063/9249?
Answer: GCF of Numerators as per given numbers 8261/865, 7063/9249 is
GCF of Numerators i.e. for 8261,7063 is 1
LCM of denominators i.e. for 865,9249 is 8000385.
Thus, GCF of Fractions is 1/8000385.Finally, GCF of Fractions for 8261/865, 7063/9249 is 1/8000385.