Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 930/98,4920/269
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 930,4920
Greatest Common Factor of Numerators i.e. GCF of 930,4920 is 30 .
LCM of Denominators means LCM of 98,269 as per the given fractions.
LCM of 98,269 is 26362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 930,4920
2 | 930, 4920 |
3 | 465, 2460 |
5 | 155, 820 |
31, 164 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 4920
List of positive integer factors of 4920 that divides 4920 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920
Greatest Common Factor
We found the factors 930,4920 . The biggest common factor number is the GCF number.
So the greatest common factor 930,4920 is 30.
Lets's calculate LCM of 98,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 26362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/26362
Therefore, the GCF of Fractions 930/98,4920/269 is 30/26362
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 98,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,269) x common factors =1 x 1 = 1
LCM(98,269) = ( 98 × 269 ) / 1
LCM(98,269) = 26362 / 1
LCM(98,269) = 26362
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 930/98, 4920/269?
Answer: GCF of Numerators as per given numbers 930/98, 4920/269 is
GCF of Numerators i.e. for 930,4920 is 30
LCM of denominators i.e. for 98,269 is 26362.
Thus, GCF of Fractions is 30/26362.Finally, GCF of Fractions for 930/98, 4920/269 is 30/26362.