Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6920/370,2070/6567
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 6920,2070
Greatest Common Factor of Numerators i.e. GCF of 6920,2070 is 10 .
LCM of Denominators means LCM of 370,6567 as per the given fractions.
LCM of 370,6567 is 2429790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6920,2070
2 | 6920, 2070 |
5 | 3460, 1035 |
692, 207 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 6920
List of positive integer factors of 6920 that divides 6920 without a remainder.
1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920
Factors of 2070
List of positive integer factors of 2070 that divides 2070 without a remainder.
1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Greatest Common Factor
We found the factors 6920,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 6920,2070 is 10.
Lets's calculate LCM of 370,6567
Given numbers has no common factors except 1. So, there LCM is their product i.e 2429790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2429790
Therefore, the GCF of Fractions 6920/370,2070/6567 is 10/2429790
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 370,6567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,6567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,6567) x common factors =1 x 1 = 1
LCM(370,6567) = ( 370 × 6567 ) / 1
LCM(370,6567) = 2429790 / 1
LCM(370,6567) = 2429790
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 6920/370, 2070/6567?
Answer: GCF of Numerators as per given numbers 6920/370, 2070/6567 is
GCF of Numerators i.e. for 6920,2070 is 10
LCM of denominators i.e. for 370,6567 is 2429790.
Thus, GCF of Fractions is 10/2429790.Finally, GCF of Fractions for 6920/370, 2070/6567 is 10/2429790.