GCF of 1573/643, 1885/102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1573/643, 1885/102 i.e 13/65586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1573/643, 1885/102.
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 1573/643,1885/102?
Given fractions are 1573/643,1885/102
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 1573/643,1885/102, numerators are 1573,1885
Denominators are 643,102
The GCF of 1573,1885 is 13 .
LCM of 643,102 is 65586.
The greatest common factor of 1573/643,1885/102 = [GCF of 1573,1885]/[LCM of 643,102]= 13/65586
Therefore, the GCF of 1573/643,1885/102 is 13/65586.
To find the highest common factor of 1573,1885, we have to find the factors of both numbers and list the highest common factor.
The factors of 1573 are 1, 11, 13, 121, 143, 1573
The factors of 1885 are 1, 5, 13, 29, 65, 145, 377, 1885
The HCF of 1573,1885 is 13.
Lets's calculate GCF of 1573,1885
| 13 | 1573, 1885 |
| 121, 145 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1573,1885 By Matching Biggest Common Factor Method
Now, list down the factors of 1573
:1,11,13,121,143,1573
Now, list down the factors of 1885
:1,5,13,29,65,145,377,1885
Greatest Common Factor
We found the factors 1573,1885 . The biggest common factor number is the GCF number.
So the greatest common factor 1573,1885 is 13.
Lets's calculate LCM of 643,102
Given numbers has no common factors except 1. So, there LCM is their product i.e 65586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/65586
Therefore, the GCF of Fractions 1573/643,1885/102 is 13/65586
Least Common Multiple of 643,102 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 643,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,102) x common factors =1 x 1 = 1
LCM(643,102) = ( 643 × 102 ) / 1
LCM(643,102) = 65586 / 1
LCM(643,102) = 65586
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FAQs on GCF of Fractions of 1573/643, 1885/102
1. What is the HCF of 1573,1885?
The HCF of 1573,1885 is 13
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 1573/643, 1885/102?
Answer: GCF of Numerators as per given numbers 1573/643, 1885/102 is
GCF of Numerators i.e. for 1573,1885 is 13
LCM of denominators i.e. for 643,102 is 65586.
Thus, GCF of Fractions is 13/65586.Finally, GCF of Fractions for 1573/643, 1885/102 is 13/65586.