GCF of 6952/596, 9933/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6952/596, 9933/857 i.e 11/510772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6952/596, 9933/857.
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 6952/596,9933/857?
Given fractions are 6952/596,9933/857
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 6952/596,9933/857, numerators are 6952,9933
Denominators are 596,857
The GCF of 6952,9933 is 11 .
LCM of 596,857 is 510772.
The greatest common factor of 6952/596,9933/857 = [GCF of 6952,9933]/[LCM of 596,857]= 11/510772
Therefore, the GCF of 6952/596,9933/857 is 11/510772.
To find the highest common factor of 6952,9933, we have to find the factors of both numbers and list the highest common factor.
The factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952
The factors of 9933 are 1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933
The HCF of 6952,9933 is 11.
Lets's calculate GCF of 6952,9933
| 11 | 6952, 9933 |
| 632, 903 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6952,9933 By Matching Biggest Common Factor Method
Now, list down the factors of 6952
:1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952
Now, list down the factors of 9933
:1,3,7,11,21,33,43,77,129,231,301,473,903,1419,3311,9933
Greatest Common Factor
We found the factors 6952,9933 . The biggest common factor number is the GCF number.
So the greatest common factor 6952,9933 is 11.
Lets's calculate LCM of 596,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 510772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/510772
Therefore, the GCF of Fractions 6952/596,9933/857 is 11/510772
Least Common Multiple of 596,857 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 596,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,857) x common factors =1 x 1 = 1
LCM(596,857) = ( 596 × 857 ) / 1
LCM(596,857) = 510772 / 1
LCM(596,857) = 510772
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FAQs on GCF of Fractions of 6952/596, 9933/857
1. What is the HCF of 6952,9933?
The HCF of 6952,9933 is 11
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 6952/596, 9933/857?
Answer: GCF of Numerators as per given numbers 6952/596, 9933/857 is
GCF of Numerators i.e. for 6952,9933 is 11
LCM of denominators i.e. for 596,857 is 510772.
Thus, GCF of Fractions is 11/510772.Finally, GCF of Fractions for 6952/596, 9933/857 is 11/510772.