GCF of 6837/785, 1382/5547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6837/785, 1382/5547 i.e 1/4354395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6837/785, 1382/5547.
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 6837/785,1382/5547?
Given fractions are 6837/785,1382/5547
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 6837/785,1382/5547, numerators are 6837,1382
Denominators are 785,5547
The GCF of 6837,1382 is 1 .
LCM of 785,5547 is 4354395.
The greatest common factor of 6837/785,1382/5547 = [GCF of 6837,1382]/[LCM of 785,5547]= 1/4354395
Therefore, the GCF of 6837/785,1382/5547 is 1/4354395.
To find the highest common factor of 6837,1382, we have to find the factors of both numbers and list the highest common factor.
The factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837
The factors of 1382 are 1, 2, 691, 1382
The HCF of 6837,1382 is 1.
Lets's calculate GCF of 6837,1382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6837,1382 By Matching Biggest Common Factor Method
Now, list down the factors of 6837
:1,3,43,53,129,159,2279,6837
Now, list down the factors of 1382
:1,2,691,1382
Greatest Common Factor
We found the factors 6837,1382 . The biggest common factor number is the GCF number.
So the greatest common factor 6837,1382 is 1.
Lets's calculate LCM of 785,5547
Given numbers has no common factors except 1. So, there LCM is their product i.e 4354395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4354395
Therefore, the GCF of Fractions 6837/785,1382/5547 is 1/4354395
Least Common Multiple of 785,5547 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 785,5547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,5547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,5547) x common factors =1 x 1 = 1
LCM(785,5547) = ( 785 × 5547 ) / 1
LCM(785,5547) = 4354395 / 1
LCM(785,5547) = 4354395
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FAQs on GCF of Fractions of 6837/785, 1382/5547
1. What is the HCF of 6837,1382?
The HCF of 6837,1382 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 6837/785, 1382/5547?
Answer: GCF of Numerators as per given numbers 6837/785, 1382/5547 is
GCF of Numerators i.e. for 6837,1382 is 1
LCM of denominators i.e. for 785,5547 is 4354395.
Thus, GCF of Fractions is 1/4354395.Finally, GCF of Fractions for 6837/785, 1382/5547 is 1/4354395.