GCF of 6905/699, 6711/2675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6905/699, 6711/2675 i.e 1/1869825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6905/699, 6711/2675.
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 6905/699,6711/2675?
Given fractions are 6905/699,6711/2675
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 6905/699,6711/2675, numerators are 6905,6711
Denominators are 699,2675
The GCF of 6905,6711 is 1 .
LCM of 699,2675 is 1869825.
The greatest common factor of 6905/699,6711/2675 = [GCF of 6905,6711]/[LCM of 699,2675]= 1/1869825
Therefore, the GCF of 6905/699,6711/2675 is 1/1869825.
To find the highest common factor of 6905,6711, we have to find the factors of both numbers and list the highest common factor.
The factors of 6905 are 1, 5, 1381, 6905
The factors of 6711 are 1, 3, 2237, 6711
The HCF of 6905,6711 is 1.
Lets's calculate GCF of 6905,6711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6905,6711 By Matching Biggest Common Factor Method
Now, list down the factors of 6905
:1,5,1381,6905
Now, list down the factors of 6711
:1,3,2237,6711
Greatest Common Factor
We found the factors 6905,6711 . The biggest common factor number is the GCF number.
So the greatest common factor 6905,6711 is 1.
Lets's calculate LCM of 699,2675
Given numbers has no common factors except 1. So, there LCM is their product i.e 1869825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1869825
Therefore, the GCF of Fractions 6905/699,6711/2675 is 1/1869825
Least Common Multiple of 699,2675 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 699,2675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,2675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,2675) x common factors =1 x 1 = 1
LCM(699,2675) = ( 699 × 2675 ) / 1
LCM(699,2675) = 1869825 / 1
LCM(699,2675) = 1869825
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FAQs on GCF of Fractions of 6905/699, 6711/2675
1. What is the HCF of 6905,6711?
The HCF of 6905,6711 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 6905/699, 6711/2675?
Answer: GCF of Numerators as per given numbers 6905/699, 6711/2675 is
GCF of Numerators i.e. for 6905,6711 is 1
LCM of denominators i.e. for 699,2675 is 1869825.
Thus, GCF of Fractions is 1/1869825.Finally, GCF of Fractions for 6905/699, 6711/2675 is 1/1869825.