Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5060/624,7959/690
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 5060,7959
Greatest Common Factor of Numerators i.e. GCF of 5060,7959 is 1 .
LCM of Denominators means LCM of 624,690 as per the given fractions.
LCM of 624,690 is 71760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5060,7959
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5060
List of positive integer factors of 5060 that divides 5060 without a remainder.
1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060
Factors of 7959
List of positive integer factors of 7959 that divides 7959 without a remainder.
1,3,7,21,379,1137,2653,7959
Greatest Common Factor
We found the factors 5060,7959 . The biggest common factor number is the GCF number.
So the greatest common factor 5060,7959 is 1.
Lets's calculate LCM of 624,690
2 | 624, 690 |
3 | 312, 345 |
104, 115 |
∴ So the LCM of the given numbers is 2 x 3 x 104 x 115 = 71760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71760
Therefore, the GCF of Fractions 5060/624,7959/690 is 1/71760
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 624,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,690) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(624,690) x common factors =6 x 1 = 6
LCM(624,690) = ( 624 × 690 ) / 6
LCM(624,690) = 430560 / 6
LCM(624,690) = 71760
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 5060/624, 7959/690?
Answer: GCF of Numerators as per given numbers 5060/624, 7959/690 is
GCF of Numerators i.e. for 5060,7959 is 1
LCM of denominators i.e. for 624,690 is 71760.
Thus, GCF of Fractions is 1/71760.Finally, GCF of Fractions for 5060/624, 7959/690 is 1/71760.