GCF of 5385/689, 9804/3992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5385/689, 9804/3992 i.e 3/2750488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5385/689, 9804/3992.
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 5385/689,9804/3992?
Given fractions are 5385/689,9804/3992
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 5385/689,9804/3992, numerators are 5385,9804
Denominators are 689,3992
The GCF of 5385,9804 is 3 .
LCM of 689,3992 is 2750488.
The greatest common factor of 5385/689,9804/3992 = [GCF of 5385,9804]/[LCM of 689,3992]= 3/2750488
Therefore, the GCF of 5385/689,9804/3992 is 3/2750488.
To find the highest common factor of 5385,9804, we have to find the factors of both numbers and list the highest common factor.
The factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385
The factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804
The HCF of 5385,9804 is 3.
Lets's calculate GCF of 5385,9804
| 3 | 5385, 9804 |
| 1795, 3268 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5385,9804 By Matching Biggest Common Factor Method
Now, list down the factors of 5385
:1,3,5,15,359,1077,1795,5385
Now, list down the factors of 9804
:1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Greatest Common Factor
We found the factors 5385,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 5385,9804 is 3.
Lets's calculate LCM of 689,3992
Given numbers has no common factors except 1. So, there LCM is their product i.e 2750488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2750488
Therefore, the GCF of Fractions 5385/689,9804/3992 is 3/2750488
Least Common Multiple of 689,3992 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 689,3992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,3992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,3992) x common factors =1 x 1 = 1
LCM(689,3992) = ( 689 × 3992 ) / 1
LCM(689,3992) = 2750488 / 1
LCM(689,3992) = 2750488
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FAQs on GCF of Fractions of 5385/689, 9804/3992
1. What is the HCF of 5385,9804?
The HCF of 5385,9804 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 5385/689, 9804/3992?
Answer: GCF of Numerators as per given numbers 5385/689, 9804/3992 is
GCF of Numerators i.e. for 5385,9804 is 3
LCM of denominators i.e. for 689,3992 is 2750488.
Thus, GCF of Fractions is 3/2750488.Finally, GCF of Fractions for 5385/689, 9804/3992 is 3/2750488.