GCF of 6399/429, 8252/691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6399/429, 8252/691 i.e 1/296439 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6399/429, 8252/691.
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 6399/429,8252/691?
Given fractions are 6399/429,8252/691
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 6399/429,8252/691, numerators are 6399,8252
Denominators are 429,691
The GCF of 6399,8252 is 1 .
LCM of 429,691 is 296439.
The greatest common factor of 6399/429,8252/691 = [GCF of 6399,8252]/[LCM of 429,691]= 1/296439
Therefore, the GCF of 6399/429,8252/691 is 1/296439.
To find the highest common factor of 6399,8252, we have to find the factors of both numbers and list the highest common factor.
The factors of 6399 are 1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399
The factors of 8252 are 1, 2, 4, 2063, 4126, 8252
The HCF of 6399,8252 is 1.
Lets's calculate GCF of 6399,8252
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6399,8252 By Matching Biggest Common Factor Method
Now, list down the factors of 6399
:1,3,9,27,79,81,237,711,2133,6399
Now, list down the factors of 8252
:1,2,4,2063,4126,8252
Greatest Common Factor
We found the factors 6399,8252 . The biggest common factor number is the GCF number.
So the greatest common factor 6399,8252 is 1.
Lets's calculate LCM of 429,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 296439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296439
Therefore, the GCF of Fractions 6399/429,8252/691 is 1/296439
Least Common Multiple of 429,691 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 429,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,691) x common factors =1 x 1 = 1
LCM(429,691) = ( 429 × 691 ) / 1
LCM(429,691) = 296439 / 1
LCM(429,691) = 296439
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FAQs on GCF of Fractions of 6399/429, 8252/691
1. What is the HCF of 6399,8252?
The HCF of 6399,8252 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 6399/429, 8252/691?
Answer: GCF of Numerators as per given numbers 6399/429, 8252/691 is
GCF of Numerators i.e. for 6399,8252 is 1
LCM of denominators i.e. for 429,691 is 296439.
Thus, GCF of Fractions is 1/296439.Finally, GCF of Fractions for 6399/429, 8252/691 is 1/296439.