GCF of 1348/290, 3078/411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1348/290, 3078/411 i.e 2/119190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1348/290, 3078/411.
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 1348/290,3078/411?
Given fractions are 1348/290,3078/411
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 1348/290,3078/411, numerators are 1348,3078
Denominators are 290,411
The GCF of 1348,3078 is 2 .
LCM of 290,411 is 119190.
The greatest common factor of 1348/290,3078/411 = [GCF of 1348,3078]/[LCM of 290,411]= 2/119190
Therefore, the GCF of 1348/290,3078/411 is 2/119190.
To find the highest common factor of 1348,3078, we have to find the factors of both numbers and list the highest common factor.
The factors of 1348 are 1, 2, 4, 337, 674, 1348
The factors of 3078 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078
The HCF of 1348,3078 is 2.
Lets's calculate GCF of 1348,3078
| 2 | 1348, 3078 |
| 674, 1539 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1348,3078 By Matching Biggest Common Factor Method
Now, list down the factors of 1348
:1,2,4,337,674,1348
Now, list down the factors of 3078
:1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078
Greatest Common Factor
We found the factors 1348,3078 . The biggest common factor number is the GCF number.
So the greatest common factor 1348,3078 is 2.
Lets's calculate LCM of 290,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 119190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119190
Therefore, the GCF of Fractions 1348/290,3078/411 is 2/119190
Least Common Multiple of 290,411 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 290,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,411) x common factors =1 x 1 = 1
LCM(290,411) = ( 290 × 411 ) / 1
LCM(290,411) = 119190 / 1
LCM(290,411) = 119190
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FAQs on GCF of Fractions of 1348/290, 3078/411
1. What is the HCF of 1348,3078?
The HCF of 1348,3078 is 2
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 1348/290, 3078/411?
Answer: GCF of Numerators as per given numbers 1348/290, 3078/411 is
GCF of Numerators i.e. for 1348,3078 is 2
LCM of denominators i.e. for 290,411 is 119190.
Thus, GCF of Fractions is 2/119190.Finally, GCF of Fractions for 1348/290, 3078/411 is 2/119190.