Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9620/210,7280/5458
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 9620,7280
Greatest Common Factor of Numerators i.e. GCF of 9620,7280 is 260 .
LCM of Denominators means LCM of 210,5458 as per the given fractions.
LCM of 210,5458 is 573090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9620,7280
2 | 9620, 7280 |
2 | 4810, 3640 |
5 | 2405, 1820 |
13 | 481, 364 |
37, 28 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 13 = 260
Factors of 9620
List of positive integer factors of 9620 that divides 9620 without a remainder.
1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Factors of 7280
List of positive integer factors of 7280 that divides 7280 without a remainder.
1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Greatest Common Factor
We found the factors 9620,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,7280 is 260.
Lets's calculate LCM of 210,5458
2 | 210, 5458 |
105, 2729 |
∴ So the LCM of the given numbers is 2 x 105 x 2729 = 573090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 260/573090
Therefore, the GCF of Fractions 9620/210,7280/5458 is 260/573090
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 210,5458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,5458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(210,5458) x common factors =2 x 1 = 2
LCM(210,5458) = ( 210 × 5458 ) / 2
LCM(210,5458) = 1146180 / 2
LCM(210,5458) = 573090
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 9620/210, 7280/5458?
Answer: GCF of Numerators as per given numbers 9620/210, 7280/5458 is
GCF of Numerators i.e. for 9620,7280 is 260
LCM of denominators i.e. for 210,5458 is 573090.
Thus, GCF of Fractions is 260/573090.Finally, GCF of Fractions for 9620/210, 7280/5458 is 260/573090.