GCF of 1034/466, 9447/9228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1034/466, 9447/9228 i.e 47/2150124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1034/466, 9447/9228.
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 1034/466,9447/9228?
Given fractions are 1034/466,9447/9228
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 1034/466,9447/9228, numerators are 1034,9447
Denominators are 466,9228
The GCF of 1034,9447 is 47 .
LCM of 466,9228 is 2150124.
The greatest common factor of 1034/466,9447/9228 = [GCF of 1034,9447]/[LCM of 466,9228]= 47/2150124
Therefore, the GCF of 1034/466,9447/9228 is 47/2150124.
To find the highest common factor of 1034,9447, we have to find the factors of both numbers and list the highest common factor.
The factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034
The factors of 9447 are 1, 3, 47, 67, 141, 201, 3149, 9447
The HCF of 1034,9447 is 47.
Lets's calculate GCF of 1034,9447
| 47 | 1034, 9447 |
| 22, 201 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 1034,9447 By Matching Biggest Common Factor Method
Now, list down the factors of 1034
:1,2,11,22,47,94,517,1034
Now, list down the factors of 9447
:1,3,47,67,141,201,3149,9447
Greatest Common Factor
We found the factors 1034,9447 . The biggest common factor number is the GCF number.
So the greatest common factor 1034,9447 is 47.
Lets's calculate LCM of 466,9228
| 2 | 466, 9228 |
| 233, 4614 |
∴ So the LCM of the given numbers is 2 x 233 x 4614 = 2150124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/2150124
Therefore, the GCF of Fractions 1034/466,9447/9228 is 47/2150124
Least Common Multiple of 466,9228 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 466,9228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,9228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,9228) x common factors =2 x 1 = 2
LCM(466,9228) = ( 466 × 9228 ) / 2
LCM(466,9228) = 4300248 / 2
LCM(466,9228) = 2150124
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FAQs on GCF of Fractions of 1034/466, 9447/9228
1. What is the HCF of 1034,9447?
The HCF of 1034,9447 is 47
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 1034/466, 9447/9228?
Answer: GCF of Numerators as per given numbers 1034/466, 9447/9228 is
GCF of Numerators i.e. for 1034,9447 is 47
LCM of denominators i.e. for 466,9228 is 2150124.
Thus, GCF of Fractions is 47/2150124.Finally, GCF of Fractions for 1034/466, 9447/9228 is 47/2150124.