Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1052/660,9802/749
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 1052,9802
Greatest Common Factor of Numerators i.e. GCF of 1052,9802 is 2 .
LCM of Denominators means LCM of 660,749 as per the given fractions.
LCM of 660,749 is 494340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1052,9802
2 | 1052, 9802 |
526, 4901 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1052
List of positive integer factors of 1052 that divides 1052 without a remainder.
1,2,4,263,526,1052
Factors of 9802
List of positive integer factors of 9802 that divides 9802 without a remainder.
1,2,13,26,29,58,169,338,377,754,4901,9802
Greatest Common Factor
We found the factors 1052,9802 . The biggest common factor number is the GCF number.
So the greatest common factor 1052,9802 is 2.
Lets's calculate LCM of 660,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 494340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/494340
Therefore, the GCF of Fractions 1052/660,9802/749 is 2/494340
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 660,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(660,749) x common factors =1 x 1 = 1
LCM(660,749) = ( 660 × 749 ) / 1
LCM(660,749) = 494340 / 1
LCM(660,749) = 494340
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 1052/660, 9802/749?
Answer: GCF of Numerators as per given numbers 1052/660, 9802/749 is
GCF of Numerators i.e. for 1052,9802 is 2
LCM of denominators i.e. for 660,749 is 494340.
Thus, GCF of Fractions is 2/494340.Finally, GCF of Fractions for 1052/660, 9802/749 is 2/494340.