GCF of 9732/465, 6352/1730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9732/465, 6352/1730 i.e 4/160890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9732/465, 6352/1730.
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 9732/465,6352/1730?
Given fractions are 9732/465,6352/1730
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 9732/465,6352/1730, numerators are 9732,6352
Denominators are 465,1730
The GCF of 9732,6352 is 4 .
LCM of 465,1730 is 160890.
The greatest common factor of 9732/465,6352/1730 = [GCF of 9732,6352]/[LCM of 465,1730]= 4/160890
Therefore, the GCF of 9732/465,6352/1730 is 4/160890.
To find the highest common factor of 9732,6352, we have to find the factors of both numbers and list the highest common factor.
The factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732
The factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352
The HCF of 9732,6352 is 4.
Lets's calculate GCF of 9732,6352
| 2 | 9732, 6352 |
| 2 | 4866, 3176 |
| 2433, 1588 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9732,6352 By Matching Biggest Common Factor Method
Now, list down the factors of 9732
:1,2,3,4,6,12,811,1622,2433,3244,4866,9732
Now, list down the factors of 6352
:1,2,4,8,16,397,794,1588,3176,6352
Greatest Common Factor
We found the factors 9732,6352 . The biggest common factor number is the GCF number.
So the greatest common factor 9732,6352 is 4.
Lets's calculate LCM of 465,1730
| 5 | 465, 1730 |
| 93, 346 |
∴ So the LCM of the given numbers is 5 x 93 x 346 = 160890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/160890
Therefore, the GCF of Fractions 9732/465,6352/1730 is 4/160890
Least Common Multiple of 465,1730 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 465,1730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,1730) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(465,1730) x common factors =5 x 1 = 5
LCM(465,1730) = ( 465 × 1730 ) / 5
LCM(465,1730) = 804450 / 5
LCM(465,1730) = 160890
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FAQs on GCF of Fractions of 9732/465, 6352/1730
1. What is the HCF of 9732,6352?
The HCF of 9732,6352 is 4
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 9732/465, 6352/1730?
Answer: GCF of Numerators as per given numbers 9732/465, 6352/1730 is
GCF of Numerators i.e. for 9732,6352 is 4
LCM of denominators i.e. for 465,1730 is 160890.
Thus, GCF of Fractions is 4/160890.Finally, GCF of Fractions for 9732/465, 6352/1730 is 4/160890.