GCF of 5232/804, 6132/9958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5232/804, 6132/9958 i.e 12/4003116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5232/804, 6132/9958.
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 5232/804,6132/9958?
Given fractions are 5232/804,6132/9958
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 5232/804,6132/9958, numerators are 5232,6132
Denominators are 804,9958
The GCF of 5232,6132 is 12 .
LCM of 804,9958 is 4003116.
The greatest common factor of 5232/804,6132/9958 = [GCF of 5232,6132]/[LCM of 804,9958]= 12/4003116
Therefore, the GCF of 5232/804,6132/9958 is 12/4003116.
To find the highest common factor of 5232,6132, we have to find the factors of both numbers and list the highest common factor.
The factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232
The factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132
The HCF of 5232,6132 is 12.
Lets's calculate GCF of 5232,6132
| 2 | 5232, 6132 |
| 2 | 2616, 3066 |
| 3 | 1308, 1533 |
| 436, 511 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5232,6132 By Matching Biggest Common Factor Method
Now, list down the factors of 5232
:1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
Now, list down the factors of 6132
:1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Greatest Common Factor
We found the factors 5232,6132 . The biggest common factor number is the GCF number.
So the greatest common factor 5232,6132 is 12.
Lets's calculate LCM of 804,9958
| 2 | 804, 9958 |
| 402, 4979 |
∴ So the LCM of the given numbers is 2 x 402 x 4979 = 4003116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4003116
Therefore, the GCF of Fractions 5232/804,6132/9958 is 12/4003116
Least Common Multiple of 804,9958 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 804,9958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,9958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(804,9958) x common factors =2 x 1 = 2
LCM(804,9958) = ( 804 × 9958 ) / 2
LCM(804,9958) = 8006232 / 2
LCM(804,9958) = 4003116
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FAQs on GCF of Fractions of 5232/804, 6132/9958
1. What is the HCF of 5232,6132?
The HCF of 5232,6132 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 5232/804, 6132/9958?
Answer: GCF of Numerators as per given numbers 5232/804, 6132/9958 is
GCF of Numerators i.e. for 5232,6132 is 12
LCM of denominators i.e. for 804,9958 is 4003116.
Thus, GCF of Fractions is 12/4003116.Finally, GCF of Fractions for 5232/804, 6132/9958 is 12/4003116.