Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2968/652,5502/4230
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 2968,5502
Greatest Common Factor of Numerators i.e. GCF of 2968,5502 is 14 .
LCM of Denominators means LCM of 652,4230 as per the given fractions.
LCM of 652,4230 is 1378980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2968,5502
2 | 2968, 5502 |
7 | 1484, 2751 |
212, 393 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 2968
List of positive integer factors of 2968 that divides 2968 without a remainder.
1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968
Factors of 5502
List of positive integer factors of 5502 that divides 5502 without a remainder.
1,2,3,6,7,14,21,42,131,262,393,786,917,1834,2751,5502
Greatest Common Factor
We found the factors 2968,5502 . The biggest common factor number is the GCF number.
So the greatest common factor 2968,5502 is 14.
Lets's calculate LCM of 652,4230
2 | 652, 4230 |
326, 2115 |
∴ So the LCM of the given numbers is 2 x 326 x 2115 = 1378980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1378980
Therefore, the GCF of Fractions 2968/652,5502/4230 is 14/1378980
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 652,4230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,4230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,4230) x common factors =2 x 1 = 2
LCM(652,4230) = ( 652 × 4230 ) / 2
LCM(652,4230) = 2757960 / 2
LCM(652,4230) = 1378980
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 2968/652, 5502/4230?
Answer: GCF of Numerators as per given numbers 2968/652, 5502/4230 is
GCF of Numerators i.e. for 2968,5502 is 14
LCM of denominators i.e. for 652,4230 is 1378980.
Thus, GCF of Fractions is 14/1378980.Finally, GCF of Fractions for 2968/652, 5502/4230 is 14/1378980.