Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9920/51,2756/914
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 9920,2756
Greatest Common Factor of Numerators i.e. GCF of 9920,2756 is 4 .
LCM of Denominators means LCM of 51,914 as per the given fractions.
LCM of 51,914 is 46614 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9920,2756
2 | 9920, 2756 |
2 | 4960, 1378 |
2480, 689 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9920
List of positive integer factors of 9920 that divides 9920 without a remainder.
1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920
Factors of 2756
List of positive integer factors of 2756 that divides 2756 without a remainder.
1,2,4,13,26,52,53,106,212,689,1378,2756
Greatest Common Factor
We found the factors 9920,2756 . The biggest common factor number is the GCF number.
So the greatest common factor 9920,2756 is 4.
Lets's calculate LCM of 51,914
Given numbers has no common factors except 1. So, there LCM is their product i.e 46614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/46614
Therefore, the GCF of Fractions 9920/51,2756/914 is 4/46614
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 51,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,914) x common factors =1 x 1 = 1
LCM(51,914) = ( 51 × 914 ) / 1
LCM(51,914) = 46614 / 1
LCM(51,914) = 46614
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 9920/51, 2756/914?
Answer: GCF of Numerators as per given numbers 9920/51, 2756/914 is
GCF of Numerators i.e. for 9920,2756 is 4
LCM of denominators i.e. for 51,914 is 46614.
Thus, GCF of Fractions is 4/46614.Finally, GCF of Fractions for 9920/51, 2756/914 is 4/46614.