GCF of 1569/936, 6816/989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1569/936, 6816/989 i.e 3/925704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1569/936, 6816/989.
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 1569/936,6816/989?
Given fractions are 1569/936,6816/989
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 1569/936,6816/989, numerators are 1569,6816
Denominators are 936,989
The GCF of 1569,6816 is 3 .
LCM of 936,989 is 925704.
The greatest common factor of 1569/936,6816/989 = [GCF of 1569,6816]/[LCM of 936,989]= 3/925704
Therefore, the GCF of 1569/936,6816/989 is 3/925704.
To find the highest common factor of 1569,6816, we have to find the factors of both numbers and list the highest common factor.
The factors of 1569 are 1, 3, 523, 1569
The factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816
The HCF of 1569,6816 is 3.
Lets's calculate GCF of 1569,6816
| 3 | 1569, 6816 |
| 523, 2272 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1569,6816 By Matching Biggest Common Factor Method
Now, list down the factors of 1569
:1,3,523,1569
Now, list down the factors of 6816
:1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816
Greatest Common Factor
We found the factors 1569,6816 . The biggest common factor number is the GCF number.
So the greatest common factor 1569,6816 is 3.
Lets's calculate LCM of 936,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 925704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/925704
Therefore, the GCF of Fractions 1569/936,6816/989 is 3/925704
Least Common Multiple of 936,989 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 936,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(936,989) x common factors =1 x 1 = 1
LCM(936,989) = ( 936 × 989 ) / 1
LCM(936,989) = 925704 / 1
LCM(936,989) = 925704
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FAQs on GCF of Fractions of 1569/936, 6816/989
1. What is the HCF of 1569,6816?
The HCF of 1569,6816 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 1569/936, 6816/989?
Answer: GCF of Numerators as per given numbers 1569/936, 6816/989 is
GCF of Numerators i.e. for 1569,6816 is 3
LCM of denominators i.e. for 936,989 is 925704.
Thus, GCF of Fractions is 3/925704.Finally, GCF of Fractions for 1569/936, 6816/989 is 3/925704.