GCF of 6846/883, 9399/9737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6846/883, 9399/9737 i.e 3/8597771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6846/883, 9399/9737.
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 6846/883,9399/9737?
Given fractions are 6846/883,9399/9737
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 6846/883,9399/9737, numerators are 6846,9399
Denominators are 883,9737
The GCF of 6846,9399 is 3 .
LCM of 883,9737 is 8597771.
The greatest common factor of 6846/883,9399/9737 = [GCF of 6846,9399]/[LCM of 883,9737]= 3/8597771
Therefore, the GCF of 6846/883,9399/9737 is 3/8597771.
To find the highest common factor of 6846,9399, we have to find the factors of both numbers and list the highest common factor.
The factors of 6846 are 1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846
The factors of 9399 are 1, 3, 13, 39, 241, 723, 3133, 9399
The HCF of 6846,9399 is 3.
Lets's calculate GCF of 6846,9399
| 3 | 6846, 9399 |
| 2282, 3133 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6846,9399 By Matching Biggest Common Factor Method
Now, list down the factors of 6846
:1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846
Now, list down the factors of 9399
:1,3,13,39,241,723,3133,9399
Greatest Common Factor
We found the factors 6846,9399 . The biggest common factor number is the GCF number.
So the greatest common factor 6846,9399 is 3.
Lets's calculate LCM of 883,9737
Given numbers has no common factors except 1. So, there LCM is their product i.e 8597771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8597771
Therefore, the GCF of Fractions 6846/883,9399/9737 is 3/8597771
Least Common Multiple of 883,9737 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 883,9737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,9737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,9737) x common factors =1 x 1 = 1
LCM(883,9737) = ( 883 × 9737 ) / 1
LCM(883,9737) = 8597771 / 1
LCM(883,9737) = 8597771
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FAQs on GCF of Fractions of 6846/883, 9399/9737
1. What is the HCF of 6846,9399?
The HCF of 6846,9399 is 3
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 6846/883, 9399/9737?
Answer: GCF of Numerators as per given numbers 6846/883, 9399/9737 is
GCF of Numerators i.e. for 6846,9399 is 3
LCM of denominators i.e. for 883,9737 is 8597771.
Thus, GCF of Fractions is 3/8597771.Finally, GCF of Fractions for 6846/883, 9399/9737 is 3/8597771.