Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7208/822,6865/920
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 7208,6865
Greatest Common Factor of Numerators i.e. GCF of 7208,6865 is 1 .
LCM of Denominators means LCM of 822,920 as per the given fractions.
LCM of 822,920 is 378120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7208,6865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7208
List of positive integer factors of 7208 that divides 7208 without a remainder.
1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208
Factors of 6865
List of positive integer factors of 6865 that divides 6865 without a remainder.
1,5,1373,6865
Greatest Common Factor
We found the factors 7208,6865 . The biggest common factor number is the GCF number.
So the greatest common factor 7208,6865 is 1.
Lets's calculate LCM of 822,920
2 | 822, 920 |
411, 460 |
∴ So the LCM of the given numbers is 2 x 411 x 460 = 378120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378120
Therefore, the GCF of Fractions 7208/822,6865/920 is 1/378120
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 822,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,920) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,920) x common factors =2 x 1 = 2
LCM(822,920) = ( 822 × 920 ) / 2
LCM(822,920) = 756240 / 2
LCM(822,920) = 378120
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 7208/822, 6865/920?
Answer: GCF of Numerators as per given numbers 7208/822, 6865/920 is
GCF of Numerators i.e. for 7208,6865 is 1
LCM of denominators i.e. for 822,920 is 378120.
Thus, GCF of Fractions is 1/378120.Finally, GCF of Fractions for 7208/822, 6865/920 is 1/378120.