GCF of 5957/441, 3554/356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5957/441, 3554/356 i.e 1/156996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5957/441, 3554/356.
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 5957/441,3554/356?
Given fractions are 5957/441,3554/356
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 5957/441,3554/356, numerators are 5957,3554
Denominators are 441,356
The GCF of 5957,3554 is 1 .
LCM of 441,356 is 156996.
The greatest common factor of 5957/441,3554/356 = [GCF of 5957,3554]/[LCM of 441,356]= 1/156996
Therefore, the GCF of 5957/441,3554/356 is 1/156996.
To find the highest common factor of 5957,3554, we have to find the factors of both numbers and list the highest common factor.
The factors of 5957 are 1, 7, 23, 37, 161, 259, 851, 5957
The factors of 3554 are 1, 2, 1777, 3554
The HCF of 5957,3554 is 1.
Lets's calculate GCF of 5957,3554
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5957,3554 By Matching Biggest Common Factor Method
Now, list down the factors of 5957
:1,7,23,37,161,259,851,5957
Now, list down the factors of 3554
:1,2,1777,3554
Greatest Common Factor
We found the factors 5957,3554 . The biggest common factor number is the GCF number.
So the greatest common factor 5957,3554 is 1.
Lets's calculate LCM of 441,356
Given numbers has no common factors except 1. So, there LCM is their product i.e 156996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156996
Therefore, the GCF of Fractions 5957/441,3554/356 is 1/156996
Least Common Multiple of 441,356 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 441,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,356) x common factors =1 x 1 = 1
LCM(441,356) = ( 441 × 356 ) / 1
LCM(441,356) = 156996 / 1
LCM(441,356) = 156996
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FAQs on GCF of Fractions of 5957/441, 3554/356
1. What is the HCF of 5957,3554?
The HCF of 5957,3554 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 5957/441, 3554/356?
Answer: GCF of Numerators as per given numbers 5957/441, 3554/356 is
GCF of Numerators i.e. for 5957,3554 is 1
LCM of denominators i.e. for 441,356 is 156996.
Thus, GCF of Fractions is 1/156996.Finally, GCF of Fractions for 5957/441, 3554/356 is 1/156996.