Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7520/828,9788/137
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 7520,9788
Greatest Common Factor of Numerators i.e. GCF of 7520,9788 is 4 .
LCM of Denominators means LCM of 828,137 as per the given fractions.
LCM of 828,137 is 113436 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7520,9788
2 | 7520, 9788 |
2 | 3760, 4894 |
1880, 2447 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 7520
List of positive integer factors of 7520 that divides 7520 without a remainder.
1,2,4,5,8,10,16,20,32,40,47,80,94,160,188,235,376,470,752,940,1504,1880,3760,7520
Factors of 9788
List of positive integer factors of 9788 that divides 9788 without a remainder.
1,2,4,2447,4894,9788
Greatest Common Factor
We found the factors 7520,9788 . The biggest common factor number is the GCF number.
So the greatest common factor 7520,9788 is 4.
Lets's calculate LCM of 828,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 113436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/113436
Therefore, the GCF of Fractions 7520/828,9788/137 is 4/113436
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 828,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,137) x common factors =1 x 1 = 1
LCM(828,137) = ( 828 × 137 ) / 1
LCM(828,137) = 113436 / 1
LCM(828,137) = 113436
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 7520/828, 9788/137?
Answer: GCF of Numerators as per given numbers 7520/828, 9788/137 is
GCF of Numerators i.e. for 7520,9788 is 4
LCM of denominators i.e. for 828,137 is 113436.
Thus, GCF of Fractions is 4/113436.Finally, GCF of Fractions for 7520/828, 9788/137 is 4/113436.