GCF of 6877/743, 6321/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6877/743, 6321/438 i.e 1/325434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6877/743, 6321/438.
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 6877/743,6321/438?
Given fractions are 6877/743,6321/438
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 6877/743,6321/438, numerators are 6877,6321
Denominators are 743,438
The GCF of 6877,6321 is 1 .
LCM of 743,438 is 325434.
The greatest common factor of 6877/743,6321/438 = [GCF of 6877,6321]/[LCM of 743,438]= 1/325434
Therefore, the GCF of 6877/743,6321/438 is 1/325434.
To find the highest common factor of 6877,6321, we have to find the factors of both numbers and list the highest common factor.
The factors of 6877 are 1, 13, 23, 299, 529, 6877
The factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321
The HCF of 6877,6321 is 1.
Lets's calculate GCF of 6877,6321
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6877,6321 By Matching Biggest Common Factor Method
Now, list down the factors of 6877
:1,13,23,299,529,6877
Now, list down the factors of 6321
:1,3,7,21,43,49,129,147,301,903,2107,6321
Greatest Common Factor
We found the factors 6877,6321 . The biggest common factor number is the GCF number.
So the greatest common factor 6877,6321 is 1.
Lets's calculate LCM of 743,438
Given numbers has no common factors except 1. So, there LCM is their product i.e 325434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325434
Therefore, the GCF of Fractions 6877/743,6321/438 is 1/325434
Least Common Multiple of 743,438 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 743,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,438) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,438) x common factors =1 x 1 = 1
LCM(743,438) = ( 743 × 438 ) / 1
LCM(743,438) = 325434 / 1
LCM(743,438) = 325434
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FAQs on GCF of Fractions of 6877/743, 6321/438
1. What is the HCF of 6877,6321?
The HCF of 6877,6321 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 6877/743, 6321/438?
Answer: GCF of Numerators as per given numbers 6877/743, 6321/438 is
GCF of Numerators i.e. for 6877,6321 is 1
LCM of denominators i.e. for 743,438 is 325434.
Thus, GCF of Fractions is 1/325434.Finally, GCF of Fractions for 6877/743, 6321/438 is 1/325434.