Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/664,4890/650
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 925,4890
Greatest Common Factor of Numerators i.e. GCF of 925,4890 is 5 .
LCM of Denominators means LCM of 664,650 as per the given fractions.
LCM of 664,650 is 215800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 925,4890
5 | 925, 4890 |
185, 978 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 4890
List of positive integer factors of 4890 that divides 4890 without a remainder.
1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890
Greatest Common Factor
We found the factors 925,4890 . The biggest common factor number is the GCF number.
So the greatest common factor 925,4890 is 5.
Lets's calculate LCM of 664,650
2 | 664, 650 |
332, 325 |
∴ So the LCM of the given numbers is 2 x 332 x 325 = 215800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/215800
Therefore, the GCF of Fractions 925/664,4890/650 is 5/215800
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 664,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,650) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(664,650) x common factors =2 x 1 = 2
LCM(664,650) = ( 664 × 650 ) / 2
LCM(664,650) = 431600 / 2
LCM(664,650) = 215800
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 925/664, 4890/650?
Answer: GCF of Numerators as per given numbers 925/664, 4890/650 is
GCF of Numerators i.e. for 925,4890 is 5
LCM of denominators i.e. for 664,650 is 215800.
Thus, GCF of Fractions is 5/215800.Finally, GCF of Fractions for 925/664, 4890/650 is 5/215800.