GCF of 1629/869, 1141/2833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1629/869, 1141/2833 i.e 1/2461877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1629/869, 1141/2833.
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 1629/869,1141/2833?
Given fractions are 1629/869,1141/2833
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 1629/869,1141/2833, numerators are 1629,1141
Denominators are 869,2833
The GCF of 1629,1141 is 1 .
LCM of 869,2833 is 2461877.
The greatest common factor of 1629/869,1141/2833 = [GCF of 1629,1141]/[LCM of 869,2833]= 1/2461877
Therefore, the GCF of 1629/869,1141/2833 is 1/2461877.
To find the highest common factor of 1629,1141, we have to find the factors of both numbers and list the highest common factor.
The factors of 1629 are 1, 3, 9, 181, 543, 1629
The factors of 1141 are 1, 7, 163, 1141
The HCF of 1629,1141 is 1.
Lets's calculate GCF of 1629,1141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1629,1141 By Matching Biggest Common Factor Method
Now, list down the factors of 1629
:1,3,9,181,543,1629
Now, list down the factors of 1141
:1,7,163,1141
Greatest Common Factor
We found the factors 1629,1141 . The biggest common factor number is the GCF number.
So the greatest common factor 1629,1141 is 1.
Lets's calculate LCM of 869,2833
Given numbers has no common factors except 1. So, there LCM is their product i.e 2461877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2461877
Therefore, the GCF of Fractions 1629/869,1141/2833 is 1/2461877
Least Common Multiple of 869,2833 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 869,2833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,2833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,2833) x common factors =1 x 1 = 1
LCM(869,2833) = ( 869 × 2833 ) / 1
LCM(869,2833) = 2461877 / 1
LCM(869,2833) = 2461877
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FAQs on GCF of Fractions of 1629/869, 1141/2833
1. What is the HCF of 1629,1141?
The HCF of 1629,1141 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 1629/869, 1141/2833?
Answer: GCF of Numerators as per given numbers 1629/869, 1141/2833 is
GCF of Numerators i.e. for 1629,1141 is 1
LCM of denominators i.e. for 869,2833 is 2461877.
Thus, GCF of Fractions is 1/2461877.Finally, GCF of Fractions for 1629/869, 1141/2833 is 1/2461877.