Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3825/870,7072/1234
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 3825,7072
Greatest Common Factor of Numerators i.e. GCF of 3825,7072 is 17 .
LCM of Denominators means LCM of 870,1234 as per the given fractions.
LCM of 870,1234 is 536790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3825,7072
17 | 3825, 7072 |
225, 416 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 3825
List of positive integer factors of 3825 that divides 3825 without a remainder.
1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825
Factors of 7072
List of positive integer factors of 7072 that divides 7072 without a remainder.
1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Greatest Common Factor
We found the factors 3825,7072 . The biggest common factor number is the GCF number.
So the greatest common factor 3825,7072 is 17.
Lets's calculate LCM of 870,1234
2 | 870, 1234 |
435, 617 |
∴ So the LCM of the given numbers is 2 x 435 x 617 = 536790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/536790
Therefore, the GCF of Fractions 3825/870,7072/1234 is 17/536790
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 870,1234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,1234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(870,1234) x common factors =2 x 1 = 2
LCM(870,1234) = ( 870 × 1234 ) / 2
LCM(870,1234) = 1073580 / 2
LCM(870,1234) = 536790
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 3825/870, 7072/1234?
Answer: GCF of Numerators as per given numbers 3825/870, 7072/1234 is
GCF of Numerators i.e. for 3825,7072 is 17
LCM of denominators i.e. for 870,1234 is 536790.
Thus, GCF of Fractions is 17/536790.Finally, GCF of Fractions for 3825/870, 7072/1234 is 17/536790.