GCF of 6890/977, 1271/4161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6890/977, 1271/4161 i.e 1/4065297 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6890/977, 1271/4161.
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 6890/977,1271/4161?
Given fractions are 6890/977,1271/4161
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 6890/977,1271/4161, numerators are 6890,1271
Denominators are 977,4161
The GCF of 6890,1271 is 1 .
LCM of 977,4161 is 4065297.
The greatest common factor of 6890/977,1271/4161 = [GCF of 6890,1271]/[LCM of 977,4161]= 1/4065297
Therefore, the GCF of 6890/977,1271/4161 is 1/4065297.
To find the highest common factor of 6890,1271, we have to find the factors of both numbers and list the highest common factor.
The factors of 6890 are 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890
The factors of 1271 are 1, 31, 41, 1271
The HCF of 6890,1271 is 1.
Lets's calculate GCF of 6890,1271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6890,1271 By Matching Biggest Common Factor Method
Now, list down the factors of 6890
:1,2,5,10,13,26,53,65,106,130,265,530,689,1378,3445,6890
Now, list down the factors of 1271
:1,31,41,1271
Greatest Common Factor
We found the factors 6890,1271 . The biggest common factor number is the GCF number.
So the greatest common factor 6890,1271 is 1.
Lets's calculate LCM of 977,4161
Given numbers has no common factors except 1. So, there LCM is their product i.e 4065297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4065297
Therefore, the GCF of Fractions 6890/977,1271/4161 is 1/4065297
Least Common Multiple of 977,4161 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 977,4161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,4161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,4161) x common factors =1 x 1 = 1
LCM(977,4161) = ( 977 × 4161 ) / 1
LCM(977,4161) = 4065297 / 1
LCM(977,4161) = 4065297
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FAQs on GCF of Fractions of 6890/977, 1271/4161
1. What is the HCF of 6890,1271?
The HCF of 6890,1271 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 6890/977, 1271/4161?
Answer: GCF of Numerators as per given numbers 6890/977, 1271/4161 is
GCF of Numerators i.e. for 6890,1271 is 1
LCM of denominators i.e. for 977,4161 is 4065297.
Thus, GCF of Fractions is 1/4065297.Finally, GCF of Fractions for 6890/977, 1271/4161 is 1/4065297.