GCF of 1294/411, 3624/1437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1294/411, 3624/1437 i.e 2/196869 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1294/411, 3624/1437.
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 1294/411,3624/1437?
Given fractions are 1294/411,3624/1437
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 1294/411,3624/1437, numerators are 1294,3624
Denominators are 411,1437
The GCF of 1294,3624 is 2 .
LCM of 411,1437 is 196869.
The greatest common factor of 1294/411,3624/1437 = [GCF of 1294,3624]/[LCM of 411,1437]= 2/196869
Therefore, the GCF of 1294/411,3624/1437 is 2/196869.
To find the highest common factor of 1294,3624, we have to find the factors of both numbers and list the highest common factor.
The factors of 1294 are 1, 2, 647, 1294
The factors of 3624 are 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624
The HCF of 1294,3624 is 2.
Lets's calculate GCF of 1294,3624
| 2 | 1294, 3624 |
| 647, 1812 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1294,3624 By Matching Biggest Common Factor Method
Now, list down the factors of 1294
:1,2,647,1294
Now, list down the factors of 3624
:1,2,3,4,6,8,12,24,151,302,453,604,906,1208,1812,3624
Greatest Common Factor
We found the factors 1294,3624 . The biggest common factor number is the GCF number.
So the greatest common factor 1294,3624 is 2.
Lets's calculate LCM of 411,1437
| 3 | 411, 1437 |
| 137, 479 |
∴ So the LCM of the given numbers is 3 x 137 x 479 = 196869
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/196869
Therefore, the GCF of Fractions 1294/411,3624/1437 is 2/196869
Least Common Multiple of 411,1437 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 411,1437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,1437) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(411,1437) x common factors =3 x 1 = 3
LCM(411,1437) = ( 411 × 1437 ) / 3
LCM(411,1437) = 590607 / 3
LCM(411,1437) = 196869
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FAQs on GCF of Fractions of 1294/411, 3624/1437
1. What is the HCF of 1294,3624?
The HCF of 1294,3624 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 1294/411, 3624/1437?
Answer: GCF of Numerators as per given numbers 1294/411, 3624/1437 is
GCF of Numerators i.e. for 1294,3624 is 2
LCM of denominators i.e. for 411,1437 is 196869.
Thus, GCF of Fractions is 2/196869.Finally, GCF of Fractions for 1294/411, 3624/1437 is 2/196869.