GCF of 5973/408, 8774/7703
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5973/408, 8774/7703 i.e 1/3142824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5973/408, 8774/7703.
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 5973/408,8774/7703?
Given fractions are 5973/408,8774/7703
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 5973/408,8774/7703, numerators are 5973,8774
Denominators are 408,7703
The GCF of 5973,8774 is 1 .
LCM of 408,7703 is 3142824.
The greatest common factor of 5973/408,8774/7703 = [GCF of 5973,8774]/[LCM of 408,7703]= 1/3142824
Therefore, the GCF of 5973/408,8774/7703 is 1/3142824.
To find the highest common factor of 5973,8774, we have to find the factors of both numbers and list the highest common factor.
The factors of 5973 are 1, 3, 11, 33, 181, 543, 1991, 5973
The factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774
The HCF of 5973,8774 is 1.
Lets's calculate GCF of 5973,8774
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5973,8774 By Matching Biggest Common Factor Method
Now, list down the factors of 5973
:1,3,11,33,181,543,1991,5973
Now, list down the factors of 8774
:1,2,41,82,107,214,4387,8774
Greatest Common Factor
We found the factors 5973,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 5973,8774 is 1.
Lets's calculate LCM of 408,7703
Given numbers has no common factors except 1. So, there LCM is their product i.e 3142824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3142824
Therefore, the GCF of Fractions 5973/408,8774/7703 is 1/3142824
Least Common Multiple of 408,7703 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 408,7703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,7703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,7703) x common factors =1 x 1 = 1
LCM(408,7703) = ( 408 × 7703 ) / 1
LCM(408,7703) = 3142824 / 1
LCM(408,7703) = 3142824
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FAQs on GCF of Fractions of 5973/408, 8774/7703
1. What is the HCF of 5973,8774?
The HCF of 5973,8774 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 5973/408, 8774/7703?
Answer: GCF of Numerators as per given numbers 5973/408, 8774/7703 is
GCF of Numerators i.e. for 5973,8774 is 1
LCM of denominators i.e. for 408,7703 is 3142824.
Thus, GCF of Fractions is 1/3142824.Finally, GCF of Fractions for 5973/408, 8774/7703 is 1/3142824.