GCF of 5304/950, 9156/1635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5304/950, 9156/1635 i.e 12/310650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5304/950, 9156/1635.
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 5304/950,9156/1635?
Given fractions are 5304/950,9156/1635
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 5304/950,9156/1635, numerators are 5304,9156
Denominators are 950,1635
The GCF of 5304,9156 is 12 .
LCM of 950,1635 is 310650.
The greatest common factor of 5304/950,9156/1635 = [GCF of 5304,9156]/[LCM of 950,1635]= 12/310650
Therefore, the GCF of 5304/950,9156/1635 is 12/310650.
To find the highest common factor of 5304,9156, we have to find the factors of both numbers and list the highest common factor.
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
The factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156
The HCF of 5304,9156 is 12.
Lets's calculate GCF of 5304,9156
| 2 | 5304, 9156 |
| 2 | 2652, 4578 |
| 3 | 1326, 2289 |
| 442, 763 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5304,9156 By Matching Biggest Common Factor Method
Now, list down the factors of 5304
:1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Now, list down the factors of 9156
:1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156
Greatest Common Factor
We found the factors 5304,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 5304,9156 is 12.
Lets's calculate LCM of 950,1635
| 5 | 950, 1635 |
| 190, 327 |
∴ So the LCM of the given numbers is 5 x 190 x 327 = 310650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/310650
Therefore, the GCF of Fractions 5304/950,9156/1635 is 12/310650
Least Common Multiple of 950,1635 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 950,1635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,1635) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(950,1635) x common factors =5 x 1 = 5
LCM(950,1635) = ( 950 × 1635 ) / 5
LCM(950,1635) = 1553250 / 5
LCM(950,1635) = 310650
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5304/950, 9156/1635
1. What is the HCF of 5304,9156?
The HCF of 5304,9156 is 12
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 5304/950, 9156/1635?
Answer: GCF of Numerators as per given numbers 5304/950, 9156/1635 is
GCF of Numerators i.e. for 5304,9156 is 12
LCM of denominators i.e. for 950,1635 is 310650.
Thus, GCF of Fractions is 12/310650.Finally, GCF of Fractions for 5304/950, 9156/1635 is 12/310650.