GCF of 969/413, 856/599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 969/413, 856/599 i.e 1/247387 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/413, 856/599.
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 969/413,856/599?
Given fractions are 969/413,856/599
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 969/413,856/599, numerators are 969,856
Denominators are 413,599
The GCF of 969,856 is 1 .
LCM of 413,599 is 247387.
The greatest common factor of 969/413,856/599 = [GCF of 969,856]/[LCM of 413,599]= 1/247387
Therefore, the GCF of 969/413,856/599 is 1/247387.
To find the highest common factor of 969,856, we have to find the factors of both numbers and list the highest common factor.
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The HCF of 969,856 is 1.
Lets's calculate GCF of 969,856
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 969,856 By Matching Biggest Common Factor Method
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 969,856 . The biggest common factor number is the GCF number.
So the greatest common factor 969,856 is 1.
Lets's calculate LCM of 413,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 247387
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247387
Therefore, the GCF of Fractions 969/413,856/599 is 1/247387
Least Common Multiple of 413,599 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 413,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,599) x common factors =1 x 1 = 1
LCM(413,599) = ( 413 × 599 ) / 1
LCM(413,599) = 247387 / 1
LCM(413,599) = 247387
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FAQs on GCF of Fractions of 969/413, 856/599
1. What is the HCF of 969,856?
The HCF of 969,856 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 969/413, 856/599?
Answer: GCF of Numerators as per given numbers 969/413, 856/599 is
GCF of Numerators i.e. for 969,856 is 1
LCM of denominators i.e. for 413,599 is 247387.
Thus, GCF of Fractions is 1/247387.Finally, GCF of Fractions for 969/413, 856/599 is 1/247387.