GCF of 5977/769, 1992/4213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5977/769, 1992/4213 i.e 1/3239797 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5977/769, 1992/4213.
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 5977/769,1992/4213?
Given fractions are 5977/769,1992/4213
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 5977/769,1992/4213, numerators are 5977,1992
Denominators are 769,4213
The GCF of 5977,1992 is 1 .
LCM of 769,4213 is 3239797.
The greatest common factor of 5977/769,1992/4213 = [GCF of 5977,1992]/[LCM of 769,4213]= 1/3239797
Therefore, the GCF of 5977/769,1992/4213 is 1/3239797.
To find the highest common factor of 5977,1992, we have to find the factors of both numbers and list the highest common factor.
The factors of 5977 are 1, 43, 139, 5977
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992
The HCF of 5977,1992 is 1.
Lets's calculate GCF of 5977,1992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5977,1992 By Matching Biggest Common Factor Method
Now, list down the factors of 5977
:1,43,139,5977
Now, list down the factors of 1992
:1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992
Greatest Common Factor
We found the factors 5977,1992 . The biggest common factor number is the GCF number.
So the greatest common factor 5977,1992 is 1.
Lets's calculate LCM of 769,4213
Given numbers has no common factors except 1. So, there LCM is their product i.e 3239797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3239797
Therefore, the GCF of Fractions 5977/769,1992/4213 is 1/3239797
Least Common Multiple of 769,4213 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 769,4213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,4213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,4213) x common factors =1 x 1 = 1
LCM(769,4213) = ( 769 × 4213 ) / 1
LCM(769,4213) = 3239797 / 1
LCM(769,4213) = 3239797
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FAQs on GCF of Fractions of 5977/769, 1992/4213
1. What is the HCF of 5977,1992?
The HCF of 5977,1992 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 5977/769, 1992/4213?
Answer: GCF of Numerators as per given numbers 5977/769, 1992/4213 is
GCF of Numerators i.e. for 5977,1992 is 1
LCM of denominators i.e. for 769,4213 is 3239797.
Thus, GCF of Fractions is 1/3239797.Finally, GCF of Fractions for 5977/769, 1992/4213 is 1/3239797.