Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1645/705,3112/1778
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 1645,3112
Greatest Common Factor of Numerators i.e. GCF of 1645,3112 is 1 .
LCM of Denominators means LCM of 705,1778 as per the given fractions.
LCM of 705,1778 is 1253490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1645,3112
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1645
List of positive integer factors of 1645 that divides 1645 without a remainder.
1,5,7,35,47,235,329,1645
Factors of 3112
List of positive integer factors of 3112 that divides 3112 without a remainder.
1,2,4,8,389,778,1556,3112
Greatest Common Factor
We found the factors 1645,3112 . The biggest common factor number is the GCF number.
So the greatest common factor 1645,3112 is 1.
Lets's calculate LCM of 705,1778
Given numbers has no common factors except 1. So, there LCM is their product i.e 1253490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1253490
Therefore, the GCF of Fractions 1645/705,3112/1778 is 1/1253490
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 705,1778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,1778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,1778) x common factors =1 x 1 = 1
LCM(705,1778) = ( 705 × 1778 ) / 1
LCM(705,1778) = 1253490 / 1
LCM(705,1778) = 1253490
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 1645/705, 3112/1778?
Answer: GCF of Numerators as per given numbers 1645/705, 3112/1778 is
GCF of Numerators i.e. for 1645,3112 is 1
LCM of denominators i.e. for 705,1778 is 1253490.
Thus, GCF of Fractions is 1/1253490.Finally, GCF of Fractions for 1645/705, 3112/1778 is 1/1253490.