Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6268/437,1480/2553
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 6268,1480
Greatest Common Factor of Numerators i.e. GCF of 6268,1480 is 4 .
LCM of Denominators means LCM of 437,2553 as per the given fractions.
LCM of 437,2553 is 48507 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6268,1480
2 | 6268, 1480 |
2 | 3134, 740 |
1567, 370 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6268
List of positive integer factors of 6268 that divides 6268 without a remainder.
1,2,4,1567,3134,6268
Factors of 1480
List of positive integer factors of 1480 that divides 1480 without a remainder.
1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480
Greatest Common Factor
We found the factors 6268,1480 . The biggest common factor number is the GCF number.
So the greatest common factor 6268,1480 is 4.
Lets's calculate LCM of 437,2553
23 | 437, 2553 |
19, 111 |
∴ So the LCM of the given numbers is 23 x 19 x 111 = 48507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/48507
Therefore, the GCF of Fractions 6268/437,1480/2553 is 4/48507
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 437,2553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,2553) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(437,2553) x common factors =23 x 1 = 23
LCM(437,2553) = ( 437 × 2553 ) / 23
LCM(437,2553) = 1115661 / 23
LCM(437,2553) = 48507
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 6268/437, 1480/2553?
Answer: GCF of Numerators as per given numbers 6268/437, 1480/2553 is
GCF of Numerators i.e. for 6268,1480 is 4
LCM of denominators i.e. for 437,2553 is 48507.
Thus, GCF of Fractions is 4/48507.Finally, GCF of Fractions for 6268/437, 1480/2553 is 4/48507.