GCF of 9752/976, 3634/733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9752/976, 3634/733 i.e 46/715408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9752/976, 3634/733.
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 9752/976,3634/733?
Given fractions are 9752/976,3634/733
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 9752/976,3634/733, numerators are 9752,3634
Denominators are 976,733
The GCF of 9752,3634 is 46 .
LCM of 976,733 is 715408.
The greatest common factor of 9752/976,3634/733 = [GCF of 9752,3634]/[LCM of 976,733]= 46/715408
Therefore, the GCF of 9752/976,3634/733 is 46/715408.
To find the highest common factor of 9752,3634, we have to find the factors of both numbers and list the highest common factor.
The factors of 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752
The factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634
The HCF of 9752,3634 is 46.
Lets's calculate GCF of 9752,3634
| 2 | 9752, 3634 |
| 23 | 4876, 1817 |
| 212, 79 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 9752,3634 By Matching Biggest Common Factor Method
Now, list down the factors of 9752
:1,2,4,8,23,46,53,92,106,184,212,424,1219,2438,4876,9752
Now, list down the factors of 3634
:1,2,23,46,79,158,1817,3634
Greatest Common Factor
We found the factors 9752,3634 . The biggest common factor number is the GCF number.
So the greatest common factor 9752,3634 is 46.
Lets's calculate LCM of 976,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 715408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/715408
Therefore, the GCF of Fractions 9752/976,3634/733 is 46/715408
Least Common Multiple of 976,733 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 976,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(976,733) x common factors =1 x 1 = 1
LCM(976,733) = ( 976 × 733 ) / 1
LCM(976,733) = 715408 / 1
LCM(976,733) = 715408
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FAQs on GCF of Fractions of 9752/976, 3634/733
1. What is the HCF of 9752,3634?
The HCF of 9752,3634 is 46
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 9752/976, 3634/733?
Answer: GCF of Numerators as per given numbers 9752/976, 3634/733 is
GCF of Numerators i.e. for 9752,3634 is 46
LCM of denominators i.e. for 976,733 is 715408.
Thus, GCF of Fractions is 46/715408.Finally, GCF of Fractions for 9752/976, 3634/733 is 46/715408.