GCF of 3420/311, 3148/8968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3420/311, 3148/8968 i.e 4/2789048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3420/311, 3148/8968.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3420/311,3148/8968?
Given fractions are 3420/311,3148/8968
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3420/311,3148/8968, numerators are 3420,3148
Denominators are 311,8968
The GCF of 3420,3148 is 4 .
LCM of 311,8968 is 2789048.
The greatest common factor of 3420/311,3148/8968 = [GCF of 3420,3148]/[LCM of 311,8968]= 4/2789048
Therefore, the GCF of 3420/311,3148/8968 is 4/2789048.
To find the highest common factor of 3420,3148, we have to find the factors of both numbers and list the highest common factor.
The factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420
The factors of 3148 are 1, 2, 4, 787, 1574, 3148
The HCF of 3420,3148 is 4.
Lets's calculate GCF of 3420,3148
| 2 | 3420, 3148 |
| 2 | 1710, 1574 |
| 855, 787 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3420,3148 By Matching Biggest Common Factor Method
Now, list down the factors of 3420
:1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420
Now, list down the factors of 3148
:1,2,4,787,1574,3148
Greatest Common Factor
We found the factors 3420,3148 . The biggest common factor number is the GCF number.
So the greatest common factor 3420,3148 is 4.
Lets's calculate LCM of 311,8968
Given numbers has no common factors except 1. So, there LCM is their product i.e 2789048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2789048
Therefore, the GCF of Fractions 3420/311,3148/8968 is 4/2789048
Least Common Multiple of 311,8968 with GCF Formula
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 311,8968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,8968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,8968) x common factors =1 x 1 = 1
LCM(311,8968) = ( 311 × 8968 ) / 1
LCM(311,8968) = 2789048 / 1
LCM(311,8968) = 2789048
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FAQs on GCF of Fractions of 3420/311, 3148/8968
1. What is the HCF of 3420,3148?
The HCF of 3420,3148 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 3420/311, 3148/8968?
Answer: GCF of Numerators as per given numbers 3420/311, 3148/8968 is
GCF of Numerators i.e. for 3420,3148 is 4
LCM of denominators i.e. for 311,8968 is 2789048.
Thus, GCF of Fractions is 4/2789048.Finally, GCF of Fractions for 3420/311, 3148/8968 is 4/2789048.