Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3628/841,1808/8970
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 3628,1808
Greatest Common Factor of Numerators i.e. GCF of 3628,1808 is 4 .
LCM of Denominators means LCM of 841,8970 as per the given fractions.
LCM of 841,8970 is 7543770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3628,1808
2 | 3628, 1808 |
2 | 1814, 904 |
907, 452 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3628
List of positive integer factors of 3628 that divides 3628 without a remainder.
1,2,4,907,1814,3628
Factors of 1808
List of positive integer factors of 1808 that divides 1808 without a remainder.
1,2,4,8,16,113,226,452,904,1808
Greatest Common Factor
We found the factors 3628,1808 . The biggest common factor number is the GCF number.
So the greatest common factor 3628,1808 is 4.
Lets's calculate LCM of 841,8970
Given numbers has no common factors except 1. So, there LCM is their product i.e 7543770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7543770
Therefore, the GCF of Fractions 3628/841,1808/8970 is 4/7543770
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 841,8970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,8970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,8970) x common factors =1 x 1 = 1
LCM(841,8970) = ( 841 × 8970 ) / 1
LCM(841,8970) = 7543770 / 1
LCM(841,8970) = 7543770
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 3628/841, 1808/8970?
Answer: GCF of Numerators as per given numbers 3628/841, 1808/8970 is
GCF of Numerators i.e. for 3628,1808 is 4
LCM of denominators i.e. for 841,8970 is 7543770.
Thus, GCF of Fractions is 4/7543770.Finally, GCF of Fractions for 3628/841, 1808/8970 is 4/7543770.