GCF of 1569/432, 9814/8109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1569/432, 9814/8109 i.e 1/389232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1569/432, 9814/8109.
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 1569/432,9814/8109?
Given fractions are 1569/432,9814/8109
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 1569/432,9814/8109, numerators are 1569,9814
Denominators are 432,8109
The GCF of 1569,9814 is 1 .
LCM of 432,8109 is 389232.
The greatest common factor of 1569/432,9814/8109 = [GCF of 1569,9814]/[LCM of 432,8109]= 1/389232
Therefore, the GCF of 1569/432,9814/8109 is 1/389232.
To find the highest common factor of 1569,9814, 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 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814
The HCF of 1569,9814 is 1.
Lets's calculate GCF of 1569,9814
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1569,9814 By Matching Biggest Common Factor Method
Now, list down the factors of 1569
:1,3,523,1569
Now, list down the factors of 9814
:1,2,7,14,701,1402,4907,9814
Greatest Common Factor
We found the factors 1569,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 1569,9814 is 1.
Lets's calculate LCM of 432,8109
| 3 | 432, 8109 |
| 3 | 144, 2703 |
| 48, 901 |
∴ So the LCM of the given numbers is 3 x 3 x 48 x 901 = 389232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389232
Therefore, the GCF of Fractions 1569/432,9814/8109 is 1/389232
Least Common Multiple of 432,8109 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 432,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,8109) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(432,8109) x common factors =9 x 1 = 9
LCM(432,8109) = ( 432 × 8109 ) / 9
LCM(432,8109) = 3503088 / 9
LCM(432,8109) = 389232
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FAQs on GCF of Fractions of 1569/432, 9814/8109
1. What is the HCF of 1569,9814?
The HCF of 1569,9814 is 1
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 1569/432, 9814/8109?
Answer: GCF of Numerators as per given numbers 1569/432, 9814/8109 is
GCF of Numerators i.e. for 1569,9814 is 1
LCM of denominators i.e. for 432,8109 is 389232.
Thus, GCF of Fractions is 1/389232.Finally, GCF of Fractions for 1569/432, 9814/8109 is 1/389232.