GCF of 6643/853, 9750/236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6643/853, 9750/236 i.e 13/201308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6643/853, 9750/236.
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 6643/853,9750/236?
Given fractions are 6643/853,9750/236
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 6643/853,9750/236, numerators are 6643,9750
Denominators are 853,236
The GCF of 6643,9750 is 13 .
LCM of 853,236 is 201308.
The greatest common factor of 6643/853,9750/236 = [GCF of 6643,9750]/[LCM of 853,236]= 13/201308
Therefore, the GCF of 6643/853,9750/236 is 13/201308.
To find the highest common factor of 6643,9750, we have to find the factors of both numbers and list the highest common factor.
The factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643
The factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750
The HCF of 6643,9750 is 13.
Lets's calculate GCF of 6643,9750
| 13 | 6643, 9750 |
| 511, 750 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6643,9750 By Matching Biggest Common Factor Method
Now, list down the factors of 6643
:1,7,13,73,91,511,949,6643
Now, list down the factors of 9750
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750
Greatest Common Factor
We found the factors 6643,9750 . The biggest common factor number is the GCF number.
So the greatest common factor 6643,9750 is 13.
Lets's calculate LCM of 853,236
Given numbers has no common factors except 1. So, there LCM is their product i.e 201308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/201308
Therefore, the GCF of Fractions 6643/853,9750/236 is 13/201308
Least Common Multiple of 853,236 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 853,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,236) x common factors =1 x 1 = 1
LCM(853,236) = ( 853 × 236 ) / 1
LCM(853,236) = 201308 / 1
LCM(853,236) = 201308
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FAQs on GCF of Fractions of 6643/853, 9750/236
1. What is the HCF of 6643,9750?
The HCF of 6643,9750 is 13
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 6643/853, 9750/236?
Answer: GCF of Numerators as per given numbers 6643/853, 9750/236 is
GCF of Numerators i.e. for 6643,9750 is 13
LCM of denominators i.e. for 853,236 is 201308.
Thus, GCF of Fractions is 13/201308.Finally, GCF of Fractions for 6643/853, 9750/236 is 13/201308.