GCF of 9774/347, 6189/1853
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9774/347, 6189/1853 i.e 3/642991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9774/347, 6189/1853.
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 9774/347,6189/1853?
Given fractions are 9774/347,6189/1853
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 9774/347,6189/1853, numerators are 9774,6189
Denominators are 347,1853
The GCF of 9774,6189 is 3 .
LCM of 347,1853 is 642991.
The greatest common factor of 9774/347,6189/1853 = [GCF of 9774,6189]/[LCM of 347,1853]= 3/642991
Therefore, the GCF of 9774/347,6189/1853 is 3/642991.
To find the highest common factor of 9774,6189, we have to find the factors of both numbers and list the highest common factor.
The factors of 9774 are 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774
The factors of 6189 are 1, 3, 2063, 6189
The HCF of 9774,6189 is 3.
Lets's calculate GCF of 9774,6189
| 3 | 9774, 6189 |
| 3258, 2063 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9774,6189 By Matching Biggest Common Factor Method
Now, list down the factors of 9774
:1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774
Now, list down the factors of 6189
:1,3,2063,6189
Greatest Common Factor
We found the factors 9774,6189 . The biggest common factor number is the GCF number.
So the greatest common factor 9774,6189 is 3.
Lets's calculate LCM of 347,1853
Given numbers has no common factors except 1. So, there LCM is their product i.e 642991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/642991
Therefore, the GCF of Fractions 9774/347,6189/1853 is 3/642991
Least Common Multiple of 347,1853 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 347,1853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,1853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,1853) x common factors =1 x 1 = 1
LCM(347,1853) = ( 347 × 1853 ) / 1
LCM(347,1853) = 642991 / 1
LCM(347,1853) = 642991
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FAQs on GCF of Fractions of 9774/347, 6189/1853
1. What is the HCF of 9774,6189?
The HCF of 9774,6189 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 9774/347, 6189/1853?
Answer: GCF of Numerators as per given numbers 9774/347, 6189/1853 is
GCF of Numerators i.e. for 9774,6189 is 3
LCM of denominators i.e. for 347,1853 is 642991.
Thus, GCF of Fractions is 3/642991.Finally, GCF of Fractions for 9774/347, 6189/1853 is 3/642991.