GCF of 1573/262, 6114/629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1573/262, 6114/629 i.e 1/164798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1573/262, 6114/629.
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 1573/262,6114/629?
Given fractions are 1573/262,6114/629
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 1573/262,6114/629, numerators are 1573,6114
Denominators are 262,629
The GCF of 1573,6114 is 1 .
LCM of 262,629 is 164798.
The greatest common factor of 1573/262,6114/629 = [GCF of 1573,6114]/[LCM of 262,629]= 1/164798
Therefore, the GCF of 1573/262,6114/629 is 1/164798.
To find the highest common factor of 1573,6114, 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 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114
The HCF of 1573,6114 is 1.
Lets's calculate GCF of 1573,6114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1573,6114 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 6114
:1,2,3,6,1019,2038,3057,6114
Greatest Common Factor
We found the factors 1573,6114 . The biggest common factor number is the GCF number.
So the greatest common factor 1573,6114 is 1.
Lets's calculate LCM of 262,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 164798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164798
Therefore, the GCF of Fractions 1573/262,6114/629 is 1/164798
Least Common Multiple of 262,629 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 262,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,629) x common factors =1 x 1 = 1
LCM(262,629) = ( 262 × 629 ) / 1
LCM(262,629) = 164798 / 1
LCM(262,629) = 164798
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FAQs on GCF of Fractions of 1573/262, 6114/629
1. What is the HCF of 1573,6114?
The HCF of 1573,6114 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 1573/262, 6114/629?
Answer: GCF of Numerators as per given numbers 1573/262, 6114/629 is
GCF of Numerators i.e. for 1573,6114 is 1
LCM of denominators i.e. for 262,629 is 164798.
Thus, GCF of Fractions is 1/164798.Finally, GCF of Fractions for 1573/262, 6114/629 is 1/164798.