GCF of 9536/63, 6848/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9536/63, 6848/735 i.e 64/2205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9536/63, 6848/735.
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 9536/63,6848/735?
Given fractions are 9536/63,6848/735
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 9536/63,6848/735, numerators are 9536,6848
Denominators are 63,735
The GCF of 9536,6848 is 64 .
LCM of 63,735 is 2205.
The greatest common factor of 9536/63,6848/735 = [GCF of 9536,6848]/[LCM of 63,735]= 64/2205
Therefore, the GCF of 9536/63,6848/735 is 64/2205.
To find the highest common factor of 9536,6848, we have to find the factors of both numbers and list the highest common factor.
The factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536
The factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848
The HCF of 9536,6848 is 64.
Lets's calculate GCF of 9536,6848
| 2 | 9536, 6848 |
| 2 | 4768, 3424 |
| 2 | 2384, 1712 |
| 2 | 1192, 856 |
| 2 | 596, 428 |
| 2 | 298, 214 |
| 149, 107 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 9536,6848 By Matching Biggest Common Factor Method
Now, list down the factors of 9536
:1,2,4,8,16,32,64,149,298,596,1192,2384,4768,9536
Now, list down the factors of 6848
:1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848
Greatest Common Factor
We found the factors 9536,6848 . The biggest common factor number is the GCF number.
So the greatest common factor 9536,6848 is 64.
Lets's calculate LCM of 63,735
| 3 | 63, 735 |
| 7 | 21, 245 |
| 3, 35 |
∴ So the LCM of the given numbers is 3 x 7 x 3 x 35 = 2205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/2205
Therefore, the GCF of Fractions 9536/63,6848/735 is 64/2205
Least Common Multiple of 63,735 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 63,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,735) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(63,735) x common factors =21 x 1 = 21
LCM(63,735) = ( 63 × 735 ) / 21
LCM(63,735) = 46305 / 21
LCM(63,735) = 2205
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FAQs on GCF of Fractions of 9536/63, 6848/735
1. What is the HCF of 9536,6848?
The HCF of 9536,6848 is 64
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 9536/63, 6848/735?
Answer: GCF of Numerators as per given numbers 9536/63, 6848/735 is
GCF of Numerators i.e. for 9536,6848 is 64
LCM of denominators i.e. for 63,735 is 2205.
Thus, GCF of Fractions is 64/2205.Finally, GCF of Fractions for 9536/63, 6848/735 is 64/2205.