Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/98,51/63,31/554,747/613
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 4,51,31,747
Greatest Common Factor of Numerators i.e. GCF of 4,51,31,747 is 1 .
LCM of Denominators means LCM of 98,63,554,613 as per the given fractions.
LCM of 98,63,554,613 is 149764482 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,51,31,747
∴ 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 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 4,51,31,747 . The biggest common factor number is the GCF number.
So the greatest common factor 4,51,31,747 is 1.
Lets's calculate LCM of 98,63,554,613
2 | 98, 63, 554, 613 |
7 | 49, 63, 277, 613 |
7, 9, 277, 613 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 9 x 277 x 613 = 149764482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149764482
Therefore, the GCF of Fractions 4/98,51/63,31/554,747/613 is 1/149764482
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 98,63,554,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,63,554,613) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(98,63,554,613) x common factors =1 x 14 = 14
LCM(98,63,554,613) = ( 98 × 63 × 554 × 613 ) / 14
LCM(98,63,554,613) = 2096702748 / 14
LCM(98,63,554,613) = 149764482
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 4/98, 51/63, 31/554, 747/613?
Answer: GCF of Numerators as per given numbers 4/98, 51/63, 31/554, 747/613 is
GCF of Numerators i.e. for 4,51,31,747 is 1
LCM of denominators i.e. for 98,63,554,613 is 149764482.
Thus, GCF of Fractions is 1/149764482.Finally, GCF of Fractions for 4/98, 51/63, 31/554, 747/613 is 1/149764482.