Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/844,1764/5026
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 63,1764
Greatest Common Factor of Numerators i.e. GCF of 63,1764 is 63 .
LCM of Denominators means LCM of 844,5026 as per the given fractions.
LCM of 844,5026 is 2120972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,1764
3 | 63, 1764 |
3 | 21, 588 |
7 | 7, 196 |
1, 28 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 1764
List of positive integer factors of 1764 that divides 1764 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 63,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 63,1764 is 63.
Lets's calculate LCM of 844,5026
2 | 844, 5026 |
422, 2513 |
∴ So the LCM of the given numbers is 2 x 422 x 2513 = 2120972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/2120972
Therefore, the GCF of Fractions 63/844,1764/5026 is 63/2120972
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 844,5026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,5026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(844,5026) x common factors =2 x 1 = 2
LCM(844,5026) = ( 844 × 5026 ) / 2
LCM(844,5026) = 4241944 / 2
LCM(844,5026) = 2120972
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 63/844, 1764/5026?
Answer: GCF of Numerators as per given numbers 63/844, 1764/5026 is
GCF of Numerators i.e. for 63,1764 is 63
LCM of denominators i.e. for 844,5026 is 2120972.
Thus, GCF of Fractions is 63/2120972.Finally, GCF of Fractions for 63/844, 1764/5026 is 63/2120972.