GCF of 6869/825, 4332/1831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6869/825, 4332/1831 i.e 1/1510575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6869/825, 4332/1831.
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 6869/825,4332/1831?
Given fractions are 6869/825,4332/1831
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 6869/825,4332/1831, numerators are 6869,4332
Denominators are 825,1831
The GCF of 6869,4332 is 1 .
LCM of 825,1831 is 1510575.
The greatest common factor of 6869/825,4332/1831 = [GCF of 6869,4332]/[LCM of 825,1831]= 1/1510575
Therefore, the GCF of 6869/825,4332/1831 is 1/1510575.
To find the highest common factor of 6869,4332, we have to find the factors of both numbers and list the highest common factor.
The factors of 6869 are 1, 6869
The factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332
The HCF of 6869,4332 is 1.
Lets's calculate GCF of 6869,4332
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6869,4332 By Matching Biggest Common Factor Method
Now, list down the factors of 6869
:1,6869
Now, list down the factors of 4332
:1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Greatest Common Factor
We found the factors 6869,4332 . The biggest common factor number is the GCF number.
So the greatest common factor 6869,4332 is 1.
Lets's calculate LCM of 825,1831
Given numbers has no common factors except 1. So, there LCM is their product i.e 1510575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1510575
Therefore, the GCF of Fractions 6869/825,4332/1831 is 1/1510575
Least Common Multiple of 825,1831 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 825,1831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,1831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,1831) x common factors =1 x 1 = 1
LCM(825,1831) = ( 825 × 1831 ) / 1
LCM(825,1831) = 1510575 / 1
LCM(825,1831) = 1510575
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FAQs on GCF of Fractions of 6869/825, 4332/1831
1. What is the HCF of 6869,4332?
The HCF of 6869,4332 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 6869/825, 4332/1831?
Answer: GCF of Numerators as per given numbers 6869/825, 4332/1831 is
GCF of Numerators i.e. for 6869,4332 is 1
LCM of denominators i.e. for 825,1831 is 1510575.
Thus, GCF of Fractions is 1/1510575.Finally, GCF of Fractions for 6869/825, 4332/1831 is 1/1510575.