GCF of 3804/699, 5279/839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3804/699, 5279/839 i.e 1/586461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3804/699, 5279/839.
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 3804/699,5279/839?
Given fractions are 3804/699,5279/839
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 3804/699,5279/839, numerators are 3804,5279
Denominators are 699,839
The GCF of 3804,5279 is 1 .
LCM of 699,839 is 586461.
The greatest common factor of 3804/699,5279/839 = [GCF of 3804,5279]/[LCM of 699,839]= 1/586461
Therefore, the GCF of 3804/699,5279/839 is 1/586461.
To find the highest common factor of 3804,5279, we have to find the factors of both numbers and list the highest common factor.
The factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804
The factors of 5279 are 1, 5279
The HCF of 3804,5279 is 1.
Lets's calculate GCF of 3804,5279
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3804,5279 By Matching Biggest Common Factor Method
Now, list down the factors of 3804
:1,2,3,4,6,12,317,634,951,1268,1902,3804
Now, list down the factors of 5279
:1,5279
Greatest Common Factor
We found the factors 3804,5279 . The biggest common factor number is the GCF number.
So the greatest common factor 3804,5279 is 1.
Lets's calculate LCM of 699,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 586461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586461
Therefore, the GCF of Fractions 3804/699,5279/839 is 1/586461
Least Common Multiple of 699,839 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 699,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,839) x common factors =1 x 1 = 1
LCM(699,839) = ( 699 × 839 ) / 1
LCM(699,839) = 586461 / 1
LCM(699,839) = 586461
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FAQs on GCF of Fractions of 3804/699, 5279/839
1. What is the HCF of 3804,5279?
The HCF of 3804,5279 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 3804/699, 5279/839?
Answer: GCF of Numerators as per given numbers 3804/699, 5279/839 is
GCF of Numerators i.e. for 3804,5279 is 1
LCM of denominators i.e. for 699,839 is 586461.
Thus, GCF of Fractions is 1/586461.Finally, GCF of Fractions for 3804/699, 5279/839 is 1/586461.