Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 657/350,4654/124
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 657,4654
Greatest Common Factor of Numerators i.e. GCF of 657,4654 is 1 .
LCM of Denominators means LCM of 350,124 as per the given fractions.
LCM of 350,124 is 21700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 657,4654
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 4654
List of positive integer factors of 4654 that divides 4654 without a remainder.
1,2,13,26,179,358,2327,4654
Greatest Common Factor
We found the factors 657,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 657,4654 is 1.
Lets's calculate LCM of 350,124
2 | 350, 124 |
175, 62 |
∴ So the LCM of the given numbers is 2 x 175 x 62 = 21700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21700
Therefore, the GCF of Fractions 657/350,4654/124 is 1/21700
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 350,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,124) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(350,124) x common factors =2 x 1 = 2
LCM(350,124) = ( 350 × 124 ) / 2
LCM(350,124) = 43400 / 2
LCM(350,124) = 21700
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 657/350, 4654/124?
Answer: GCF of Numerators as per given numbers 657/350, 4654/124 is
GCF of Numerators i.e. for 657,4654 is 1
LCM of denominators i.e. for 350,124 is 21700.
Thus, GCF of Fractions is 1/21700.Finally, GCF of Fractions for 657/350, 4654/124 is 1/21700.