Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 687/701,8452/565
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 687,8452
Greatest Common Factor of Numerators i.e. GCF of 687,8452 is 1 .
LCM of Denominators means LCM of 701,565 as per the given fractions.
LCM of 701,565 is 396065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 687,8452
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 8452
List of positive integer factors of 8452 that divides 8452 without a remainder.
1,2,4,2113,4226,8452
Greatest Common Factor
We found the factors 687,8452 . The biggest common factor number is the GCF number.
So the greatest common factor 687,8452 is 1.
Lets's calculate LCM of 701,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 396065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/396065
Therefore, the GCF of Fractions 687/701,8452/565 is 1/396065
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 701,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,565) x common factors =1 x 1 = 1
LCM(701,565) = ( 701 × 565 ) / 1
LCM(701,565) = 396065 / 1
LCM(701,565) = 396065
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 687/701, 8452/565?
Answer: GCF of Numerators as per given numbers 687/701, 8452/565 is
GCF of Numerators i.e. for 687,8452 is 1
LCM of denominators i.e. for 701,565 is 396065.
Thus, GCF of Fractions is 1/396065.Finally, GCF of Fractions for 687/701, 8452/565 is 1/396065.