GCF of 6659/699, 1355/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6659/699, 1355/914 i.e 1/638886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6659/699, 1355/914.
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 6659/699,1355/914?
Given fractions are 6659/699,1355/914
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 6659/699,1355/914, numerators are 6659,1355
Denominators are 699,914
The GCF of 6659,1355 is 1 .
LCM of 699,914 is 638886.
The greatest common factor of 6659/699,1355/914 = [GCF of 6659,1355]/[LCM of 699,914]= 1/638886
Therefore, the GCF of 6659/699,1355/914 is 1/638886.
To find the highest common factor of 6659,1355, we have to find the factors of both numbers and list the highest common factor.
The factors of 6659 are 1, 6659
The factors of 1355 are 1, 5, 271, 1355
The HCF of 6659,1355 is 1.
Lets's calculate GCF of 6659,1355
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6659,1355 By Matching Biggest Common Factor Method
Now, list down the factors of 6659
:1,6659
Now, list down the factors of 1355
:1,5,271,1355
Greatest Common Factor
We found the factors 6659,1355 . The biggest common factor number is the GCF number.
So the greatest common factor 6659,1355 is 1.
Lets's calculate LCM of 699,914
Given numbers has no common factors except 1. So, there LCM is their product i.e 638886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638886
Therefore, the GCF of Fractions 6659/699,1355/914 is 1/638886
Least Common Multiple of 699,914 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 699,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,914) x common factors =1 x 1 = 1
LCM(699,914) = ( 699 × 914 ) / 1
LCM(699,914) = 638886 / 1
LCM(699,914) = 638886
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FAQs on GCF of Fractions of 6659/699, 1355/914
1. What is the HCF of 6659,1355?
The HCF of 6659,1355 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 6659/699, 1355/914?
Answer: GCF of Numerators as per given numbers 6659/699, 1355/914 is
GCF of Numerators i.e. for 6659,1355 is 1
LCM of denominators i.e. for 699,914 is 638886.
Thus, GCF of Fractions is 1/638886.Finally, GCF of Fractions for 6659/699, 1355/914 is 1/638886.