GCF of 5952/763, 1764/1432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5952/763, 1764/1432 i.e 12/1092616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5952/763, 1764/1432.
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 5952/763,1764/1432?
Given fractions are 5952/763,1764/1432
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 5952/763,1764/1432, numerators are 5952,1764
Denominators are 763,1432
The GCF of 5952,1764 is 12 .
LCM of 763,1432 is 1092616.
The greatest common factor of 5952/763,1764/1432 = [GCF of 5952,1764]/[LCM of 763,1432]= 12/1092616
Therefore, the GCF of 5952/763,1764/1432 is 12/1092616.
To find the highest common factor of 5952,1764, we have to find the factors of both numbers and list the highest common factor.
The factors of 5952 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The HCF of 5952,1764 is 12.
Lets's calculate GCF of 5952,1764
| 2 | 5952, 1764 |
| 2 | 2976, 882 |
| 3 | 1488, 441 |
| 496, 147 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5952,1764 By Matching Biggest Common Factor Method
Now, list down the factors of 5952
:1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952
Now, list down the factors of 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 5952,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 5952,1764 is 12.
Lets's calculate LCM of 763,1432
Given numbers has no common factors except 1. So, there LCM is their product i.e 1092616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1092616
Therefore, the GCF of Fractions 5952/763,1764/1432 is 12/1092616
Least Common Multiple of 763,1432 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 763,1432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,1432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,1432) x common factors =1 x 1 = 1
LCM(763,1432) = ( 763 × 1432 ) / 1
LCM(763,1432) = 1092616 / 1
LCM(763,1432) = 1092616
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FAQs on GCF of Fractions of 5952/763, 1764/1432
1. What is the HCF of 5952,1764?
The HCF of 5952,1764 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 5952/763, 1764/1432?
Answer: GCF of Numerators as per given numbers 5952/763, 1764/1432 is
GCF of Numerators i.e. for 5952,1764 is 12
LCM of denominators i.e. for 763,1432 is 1092616.
Thus, GCF of Fractions is 12/1092616.Finally, GCF of Fractions for 5952/763, 1764/1432 is 12/1092616.