GCF of 737/457, 6036/773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 737/457, 6036/773 i.e 1/353261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 737/457, 6036/773.
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 737/457,6036/773?
Given fractions are 737/457,6036/773
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 737/457,6036/773, numerators are 737,6036
Denominators are 457,773
The GCF of 737,6036 is 1 .
LCM of 457,773 is 353261.
The greatest common factor of 737/457,6036/773 = [GCF of 737,6036]/[LCM of 457,773]= 1/353261
Therefore, the GCF of 737/457,6036/773 is 1/353261.
To find the highest common factor of 737,6036, we have to find the factors of both numbers and list the highest common factor.
The factors of 737 are 1, 11, 67, 737
The factors of 6036 are 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036
The HCF of 737,6036 is 1.
Lets's calculate GCF of 737,6036
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 737,6036 By Matching Biggest Common Factor Method
Now, list down the factors of 737
:1,11,67,737
Now, list down the factors of 6036
:1,2,3,4,6,12,503,1006,1509,2012,3018,6036
Greatest Common Factor
We found the factors 737,6036 . The biggest common factor number is the GCF number.
So the greatest common factor 737,6036 is 1.
Lets's calculate LCM of 457,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 353261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353261
Therefore, the GCF of Fractions 737/457,6036/773 is 1/353261
Least Common Multiple of 457,773 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 457,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,773) x common factors =1 x 1 = 1
LCM(457,773) = ( 457 × 773 ) / 1
LCM(457,773) = 353261 / 1
LCM(457,773) = 353261
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FAQs on GCF of Fractions of 737/457, 6036/773
1. What is the HCF of 737,6036?
The HCF of 737,6036 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 737/457, 6036/773?
Answer: GCF of Numerators as per given numbers 737/457, 6036/773 is
GCF of Numerators i.e. for 737,6036 is 1
LCM of denominators i.e. for 457,773 is 353261.
Thus, GCF of Fractions is 1/353261.Finally, GCF of Fractions for 737/457, 6036/773 is 1/353261.