Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7567/859,5124/429
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 7567,5124
Greatest Common Factor of Numerators i.e. GCF of 7567,5124 is 7 .
LCM of Denominators means LCM of 859,429 as per the given fractions.
LCM of 859,429 is 368511 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7567,5124
7 | 7567, 5124 |
1081, 732 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 7567
List of positive integer factors of 7567 that divides 7567 without a remainder.
1,7,23,47,161,329,1081,7567
Factors of 5124
List of positive integer factors of 5124 that divides 5124 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124
Greatest Common Factor
We found the factors 7567,5124 . The biggest common factor number is the GCF number.
So the greatest common factor 7567,5124 is 7.
Lets's calculate LCM of 859,429
Given numbers has no common factors except 1. So, there LCM is their product i.e 368511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/368511
Therefore, the GCF of Fractions 7567/859,5124/429 is 7/368511
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 859,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,429) x common factors =1 x 1 = 1
LCM(859,429) = ( 859 × 429 ) / 1
LCM(859,429) = 368511 / 1
LCM(859,429) = 368511
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 7567/859, 5124/429?
Answer: GCF of Numerators as per given numbers 7567/859, 5124/429 is
GCF of Numerators i.e. for 7567,5124 is 7
LCM of denominators i.e. for 859,429 is 368511.
Thus, GCF of Fractions is 7/368511.Finally, GCF of Fractions for 7567/859, 5124/429 is 7/368511.