Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7642/32,1290/280
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 7642,1290
Greatest Common Factor of Numerators i.e. GCF of 7642,1290 is 2 .
LCM of Denominators means LCM of 32,280 as per the given fractions.
LCM of 32,280 is 1120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7642,1290
2 | 7642, 1290 |
3821, 645 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7642
List of positive integer factors of 7642 that divides 7642 without a remainder.
1,2,3821,7642
Factors of 1290
List of positive integer factors of 1290 that divides 1290 without a remainder.
1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290
Greatest Common Factor
We found the factors 7642,1290 . The biggest common factor number is the GCF number.
So the greatest common factor 7642,1290 is 2.
Lets's calculate LCM of 32,280
2 | 32, 280 |
2 | 16, 140 |
2 | 8, 70 |
4, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 35 = 1120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1120
Therefore, the GCF of Fractions 7642/32,1290/280 is 2/1120
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 32,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,280) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(32,280) x common factors =8 x 1 = 8
LCM(32,280) = ( 32 × 280 ) / 8
LCM(32,280) = 8960 / 8
LCM(32,280) = 1120
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 7642/32, 1290/280?
Answer: GCF of Numerators as per given numbers 7642/32, 1290/280 is
GCF of Numerators i.e. for 7642,1290 is 2
LCM of denominators i.e. for 32,280 is 1120.
Thus, GCF of Fractions is 2/1120.Finally, GCF of Fractions for 7642/32, 1290/280 is 2/1120.