Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/749,874/791,424/468
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 98,874,424
Greatest Common Factor of Numerators i.e. GCF of 98,874,424 is 2 .
LCM of Denominators means LCM of 749,791,468 as per the given fractions.
LCM of 749,791,468 is 39610116 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,874,424
2 | 98, 874, 424 |
49, 437, 212 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 98,874,424 . The biggest common factor number is the GCF number.
So the greatest common factor 98,874,424 is 2.
Lets's calculate LCM of 749,791,468
7 | 749, 791, 468 |
107, 113, 468 |
∴ So the LCM of the given numbers is 7 x 107 x 113 x 468 = 39610116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39610116
Therefore, the GCF of Fractions 98/749,874/791,424/468 is 2/39610116
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 749,791,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,791,468) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(749,791,468) x common factors =1 x 7 = 7
LCM(749,791,468) = ( 749 × 791 × 468 ) / 7
LCM(749,791,468) = 277270812 / 7
LCM(749,791,468) = 39610116
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 98/749, 874/791, 424/468?
Answer: GCF of Numerators as per given numbers 98/749, 874/791, 424/468 is
GCF of Numerators i.e. for 98,874,424 is 2
LCM of denominators i.e. for 749,791,468 is 39610116.
Thus, GCF of Fractions is 2/39610116.Finally, GCF of Fractions for 98/749, 874/791, 424/468 is 2/39610116.