GCF of 3463/927, 4490/4551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3463/927, 4490/4551 i.e 1/1406259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3463/927, 4490/4551.
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 3463/927,4490/4551?
Given fractions are 3463/927,4490/4551
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 3463/927,4490/4551, numerators are 3463,4490
Denominators are 927,4551
The GCF of 3463,4490 is 1 .
LCM of 927,4551 is 1406259.
The greatest common factor of 3463/927,4490/4551 = [GCF of 3463,4490]/[LCM of 927,4551]= 1/1406259
Therefore, the GCF of 3463/927,4490/4551 is 1/1406259.
To find the highest common factor of 3463,4490, we have to find the factors of both numbers and list the highest common factor.
The factors of 3463 are 1, 3463
The factors of 4490 are 1, 2, 5, 10, 449, 898, 2245, 4490
The HCF of 3463,4490 is 1.
Lets's calculate GCF of 3463,4490
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3463,4490 By Matching Biggest Common Factor Method
Now, list down the factors of 3463
:1,3463
Now, list down the factors of 4490
:1,2,5,10,449,898,2245,4490
Greatest Common Factor
We found the factors 3463,4490 . The biggest common factor number is the GCF number.
So the greatest common factor 3463,4490 is 1.
Lets's calculate LCM of 927,4551
| 3 | 927, 4551 |
| 309, 1517 |
∴ So the LCM of the given numbers is 3 x 309 x 1517 = 1406259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1406259
Therefore, the GCF of Fractions 3463/927,4490/4551 is 1/1406259
Least Common Multiple of 927,4551 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 927,4551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,4551) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,4551) x common factors =3 x 1 = 3
LCM(927,4551) = ( 927 × 4551 ) / 3
LCM(927,4551) = 4218777 / 3
LCM(927,4551) = 1406259
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FAQs on GCF of Fractions of 3463/927, 4490/4551
1. What is the HCF of 3463,4490?
The HCF of 3463,4490 is 1
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 3463/927, 4490/4551?
Answer: GCF of Numerators as per given numbers 3463/927, 4490/4551 is
GCF of Numerators i.e. for 3463,4490 is 1
LCM of denominators i.e. for 927,4551 is 1406259.
Thus, GCF of Fractions is 1/1406259.Finally, GCF of Fractions for 3463/927, 4490/4551 is 1/1406259.