GCF of 3047/640, 9823/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3047/640, 9823/415 i.e 11/53120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3047/640, 9823/415.
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 3047/640,9823/415?
Given fractions are 3047/640,9823/415
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 3047/640,9823/415, numerators are 3047,9823
Denominators are 640,415
The GCF of 3047,9823 is 11 .
LCM of 640,415 is 53120.
The greatest common factor of 3047/640,9823/415 = [GCF of 3047,9823]/[LCM of 640,415]= 11/53120
Therefore, the GCF of 3047/640,9823/415 is 11/53120.
To find the highest common factor of 3047,9823, we have to find the factors of both numbers and list the highest common factor.
The factors of 3047 are 1, 11, 277, 3047
The factors of 9823 are 1, 11, 19, 47, 209, 517, 893, 9823
The HCF of 3047,9823 is 11.
Lets's calculate GCF of 3047,9823
| 11 | 3047, 9823 |
| 277, 893 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3047,9823 By Matching Biggest Common Factor Method
Now, list down the factors of 3047
:1,11,277,3047
Now, list down the factors of 9823
:1,11,19,47,209,517,893,9823
Greatest Common Factor
We found the factors 3047,9823 . The biggest common factor number is the GCF number.
So the greatest common factor 3047,9823 is 11.
Lets's calculate LCM of 640,415
| 5 | 640, 415 |
| 128, 83 |
∴ So the LCM of the given numbers is 5 x 128 x 83 = 53120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/53120
Therefore, the GCF of Fractions 3047/640,9823/415 is 11/53120
Least Common Multiple of 640,415 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 640,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(640,415) x common factors =5 x 1 = 5
LCM(640,415) = ( 640 × 415 ) / 5
LCM(640,415) = 265600 / 5
LCM(640,415) = 53120
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FAQs on GCF of Fractions of 3047/640, 9823/415
1. What is the HCF of 3047,9823?
The HCF of 3047,9823 is 11
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 3047/640, 9823/415?
Answer: GCF of Numerators as per given numbers 3047/640, 9823/415 is
GCF of Numerators i.e. for 3047,9823 is 11
LCM of denominators i.e. for 640,415 is 53120.
Thus, GCF of Fractions is 11/53120.Finally, GCF of Fractions for 3047/640, 9823/415 is 11/53120.