Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8571/71,8422/362
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 8571,8422
Greatest Common Factor of Numerators i.e. GCF of 8571,8422 is 1 .
LCM of Denominators means LCM of 71,362 as per the given fractions.
LCM of 71,362 is 25702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8571,8422
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8571
List of positive integer factors of 8571 that divides 8571 without a remainder.
1,3,2857,8571
Factors of 8422
List of positive integer factors of 8422 that divides 8422 without a remainder.
1,2,4211,8422
Greatest Common Factor
We found the factors 8571,8422 . The biggest common factor number is the GCF number.
So the greatest common factor 8571,8422 is 1.
Lets's calculate LCM of 71,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 25702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25702
Therefore, the GCF of Fractions 8571/71,8422/362 is 1/25702
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 71,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,362) x common factors =1 x 1 = 1
LCM(71,362) = ( 71 × 362 ) / 1
LCM(71,362) = 25702 / 1
LCM(71,362) = 25702
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 8571/71, 8422/362?
Answer: GCF of Numerators as per given numbers 8571/71, 8422/362 is
GCF of Numerators i.e. for 8571,8422 is 1
LCM of denominators i.e. for 71,362 is 25702.
Thus, GCF of Fractions is 1/25702.Finally, GCF of Fractions for 8571/71, 8422/362 is 1/25702.