Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/50,45/93,63/656,248/707
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 4,45,63,248
Greatest Common Factor of Numerators i.e. GCF of 4,45,63,248 is 1 .
LCM of Denominators means LCM of 50,93,656,707 as per the given fractions.
LCM of 50,93,656,707 is 1078316400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,45,63,248
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 4,45,63,248 . The biggest common factor number is the GCF number.
So the greatest common factor 4,45,63,248 is 1.
Lets's calculate LCM of 50,93,656,707
2 | 50, 93, 656, 707 |
25, 93, 328, 707 |
∴ So the LCM of the given numbers is 2 x 25 x 93 x 328 x 707 = 1078316400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1078316400
Therefore, the GCF of Fractions 4/50,45/93,63/656,248/707 is 1/1078316400
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 50,93,656,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,93,656,707) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,93,656,707) x common factors =1 x 2 = 2
LCM(50,93,656,707) = ( 50 × 93 × 656 × 707 ) / 2
LCM(50,93,656,707) = 2156632800 / 2
LCM(50,93,656,707) = 1078316400
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 4/50, 45/93, 63/656, 248/707?
Answer: GCF of Numerators as per given numbers 4/50, 45/93, 63/656, 248/707 is
GCF of Numerators i.e. for 4,45,63,248 is 1
LCM of denominators i.e. for 50,93,656,707 is 1078316400.
Thus, GCF of Fractions is 1/1078316400.Finally, GCF of Fractions for 4/50, 45/93, 63/656, 248/707 is 1/1078316400.