Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5264/573,5139/9702
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 5264,5139
Greatest Common Factor of Numerators i.e. GCF of 5264,5139 is 1 .
LCM of Denominators means LCM of 573,9702 as per the given fractions.
LCM of 573,9702 is 1853082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5264,5139
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5264
List of positive integer factors of 5264 that divides 5264 without a remainder.
1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264
Factors of 5139
List of positive integer factors of 5139 that divides 5139 without a remainder.
1,3,9,571,1713,5139
Greatest Common Factor
We found the factors 5264,5139 . The biggest common factor number is the GCF number.
So the greatest common factor 5264,5139 is 1.
Lets's calculate LCM of 573,9702
3 | 573, 9702 |
191, 3234 |
∴ So the LCM of the given numbers is 3 x 191 x 3234 = 1853082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1853082
Therefore, the GCF of Fractions 5264/573,5139/9702 is 1/1853082
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 573,9702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,9702) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(573,9702) x common factors =3 x 1 = 3
LCM(573,9702) = ( 573 × 9702 ) / 3
LCM(573,9702) = 5559246 / 3
LCM(573,9702) = 1853082
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 5264/573, 5139/9702?
Answer: GCF of Numerators as per given numbers 5264/573, 5139/9702 is
GCF of Numerators i.e. for 5264,5139 is 1
LCM of denominators i.e. for 573,9702 is 1853082.
Thus, GCF of Fractions is 1/1853082.Finally, GCF of Fractions for 5264/573, 5139/9702 is 1/1853082.