GCF of 1953/472, 5274/1413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1953/472, 5274/1413 i.e 9/666936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1953/472, 5274/1413.
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 1953/472,5274/1413?
Given fractions are 1953/472,5274/1413
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 1953/472,5274/1413, numerators are 1953,5274
Denominators are 472,1413
The GCF of 1953,5274 is 9 .
LCM of 472,1413 is 666936.
The greatest common factor of 1953/472,5274/1413 = [GCF of 1953,5274]/[LCM of 472,1413]= 9/666936
Therefore, the GCF of 1953/472,5274/1413 is 9/666936.
To find the highest common factor of 1953,5274, we have to find the factors of both numbers and list the highest common factor.
The factors of 1953 are 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953
The factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274
The HCF of 1953,5274 is 9.
Lets's calculate GCF of 1953,5274
| 3 | 1953, 5274 |
| 3 | 651, 1758 |
| 217, 586 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1953,5274 By Matching Biggest Common Factor Method
Now, list down the factors of 1953
:1,3,7,9,21,31,63,93,217,279,651,1953
Now, list down the factors of 5274
:1,2,3,6,9,18,293,586,879,1758,2637,5274
Greatest Common Factor
We found the factors 1953,5274 . The biggest common factor number is the GCF number.
So the greatest common factor 1953,5274 is 9.
Lets's calculate LCM of 472,1413
Given numbers has no common factors except 1. So, there LCM is their product i.e 666936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/666936
Therefore, the GCF of Fractions 1953/472,5274/1413 is 9/666936
Least Common Multiple of 472,1413 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 472,1413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,1413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,1413) x common factors =1 x 1 = 1
LCM(472,1413) = ( 472 × 1413 ) / 1
LCM(472,1413) = 666936 / 1
LCM(472,1413) = 666936
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FAQs on GCF of Fractions of 1953/472, 5274/1413
1. What is the HCF of 1953,5274?
The HCF of 1953,5274 is 9
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 1953/472, 5274/1413?
Answer: GCF of Numerators as per given numbers 1953/472, 5274/1413 is
GCF of Numerators i.e. for 1953,5274 is 9
LCM of denominators i.e. for 472,1413 is 666936.
Thus, GCF of Fractions is 9/666936.Finally, GCF of Fractions for 1953/472, 5274/1413 is 9/666936.