GCF of 1616/621, 1135/1427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1616/621, 1135/1427 i.e 1/886167 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1616/621, 1135/1427.
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 1616/621,1135/1427?
Given fractions are 1616/621,1135/1427
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 1616/621,1135/1427, numerators are 1616,1135
Denominators are 621,1427
The GCF of 1616,1135 is 1 .
LCM of 621,1427 is 886167.
The greatest common factor of 1616/621,1135/1427 = [GCF of 1616,1135]/[LCM of 621,1427]= 1/886167
Therefore, the GCF of 1616/621,1135/1427 is 1/886167.
To find the highest common factor of 1616,1135, we have to find the factors of both numbers and list the highest common factor.
The factors of 1616 are 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616
The factors of 1135 are 1, 5, 227, 1135
The HCF of 1616,1135 is 1.
Lets's calculate GCF of 1616,1135
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1616,1135 By Matching Biggest Common Factor Method
Now, list down the factors of 1616
:1,2,4,8,16,101,202,404,808,1616
Now, list down the factors of 1135
:1,5,227,1135
Greatest Common Factor
We found the factors 1616,1135 . The biggest common factor number is the GCF number.
So the greatest common factor 1616,1135 is 1.
Lets's calculate LCM of 621,1427
Given numbers has no common factors except 1. So, there LCM is their product i.e 886167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/886167
Therefore, the GCF of Fractions 1616/621,1135/1427 is 1/886167
Least Common Multiple of 621,1427 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 621,1427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,1427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,1427) x common factors =1 x 1 = 1
LCM(621,1427) = ( 621 × 1427 ) / 1
LCM(621,1427) = 886167 / 1
LCM(621,1427) = 886167
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1616/621, 1135/1427
1. What is the HCF of 1616,1135?
The HCF of 1616,1135 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 1616/621, 1135/1427?
Answer: GCF of Numerators as per given numbers 1616/621, 1135/1427 is
GCF of Numerators i.e. for 1616,1135 is 1
LCM of denominators i.e. for 621,1427 is 886167.
Thus, GCF of Fractions is 1/886167.Finally, GCF of Fractions for 1616/621, 1135/1427 is 1/886167.