GCF of 9763/232, 1635/798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9763/232, 1635/798 i.e 1/92568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9763/232, 1635/798.
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 9763/232,1635/798?
Given fractions are 9763/232,1635/798
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 9763/232,1635/798, numerators are 9763,1635
Denominators are 232,798
The GCF of 9763,1635 is 1 .
LCM of 232,798 is 92568.
The greatest common factor of 9763/232,1635/798 = [GCF of 9763,1635]/[LCM of 232,798]= 1/92568
Therefore, the GCF of 9763/232,1635/798 is 1/92568.
To find the highest common factor of 9763,1635, we have to find the factors of both numbers and list the highest common factor.
The factors of 9763 are 1, 13, 751, 9763
The factors of 1635 are 1, 3, 5, 15, 109, 327, 545, 1635
The HCF of 9763,1635 is 1.
Lets's calculate GCF of 9763,1635
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9763,1635 By Matching Biggest Common Factor Method
Now, list down the factors of 9763
:1,13,751,9763
Now, list down the factors of 1635
:1,3,5,15,109,327,545,1635
Greatest Common Factor
We found the factors 9763,1635 . The biggest common factor number is the GCF number.
So the greatest common factor 9763,1635 is 1.
Lets's calculate LCM of 232,798
| 2 | 232, 798 |
| 116, 399 |
∴ So the LCM of the given numbers is 2 x 116 x 399 = 92568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92568
Therefore, the GCF of Fractions 9763/232,1635/798 is 1/92568
Least Common Multiple of 232,798 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 232,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(232,798) x common factors =2 x 1 = 2
LCM(232,798) = ( 232 × 798 ) / 2
LCM(232,798) = 185136 / 2
LCM(232,798) = 92568
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FAQs on GCF of Fractions of 9763/232, 1635/798
1. What is the HCF of 9763,1635?
The HCF of 9763,1635 is 1
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 9763/232, 1635/798?
Answer: GCF of Numerators as per given numbers 9763/232, 1635/798 is
GCF of Numerators i.e. for 9763,1635 is 1
LCM of denominators i.e. for 232,798 is 92568.
Thus, GCF of Fractions is 1/92568.Finally, GCF of Fractions for 9763/232, 1635/798 is 1/92568.