GCF of 6379/731, 2511/9302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6379/731, 2511/9302 i.e 1/6799762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6379/731, 2511/9302.
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 6379/731,2511/9302?
Given fractions are 6379/731,2511/9302
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 6379/731,2511/9302, numerators are 6379,2511
Denominators are 731,9302
The GCF of 6379,2511 is 1 .
LCM of 731,9302 is 6799762.
The greatest common factor of 6379/731,2511/9302 = [GCF of 6379,2511]/[LCM of 731,9302]= 1/6799762
Therefore, the GCF of 6379/731,2511/9302 is 1/6799762.
To find the highest common factor of 6379,2511, we have to find the factors of both numbers and list the highest common factor.
The factors of 6379 are 1, 6379
The factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511
The HCF of 6379,2511 is 1.
Lets's calculate GCF of 6379,2511
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6379,2511 By Matching Biggest Common Factor Method
Now, list down the factors of 6379
:1,6379
Now, list down the factors of 2511
:1,3,9,27,31,81,93,279,837,2511
Greatest Common Factor
We found the factors 6379,2511 . The biggest common factor number is the GCF number.
So the greatest common factor 6379,2511 is 1.
Lets's calculate LCM of 731,9302
Given numbers has no common factors except 1. So, there LCM is their product i.e 6799762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6799762
Therefore, the GCF of Fractions 6379/731,2511/9302 is 1/6799762
Least Common Multiple of 731,9302 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 731,9302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,9302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,9302) x common factors =1 x 1 = 1
LCM(731,9302) = ( 731 × 9302 ) / 1
LCM(731,9302) = 6799762 / 1
LCM(731,9302) = 6799762
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FAQs on GCF of Fractions of 6379/731, 2511/9302
1. What is the HCF of 6379,2511?
The HCF of 6379,2511 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 6379/731, 2511/9302?
Answer: GCF of Numerators as per given numbers 6379/731, 2511/9302 is
GCF of Numerators i.e. for 6379,2511 is 1
LCM of denominators i.e. for 731,9302 is 6799762.
Thus, GCF of Fractions is 1/6799762.Finally, GCF of Fractions for 6379/731, 2511/9302 is 1/6799762.