GCF of 7969/575, 3427/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7969/575, 3427/677 i.e 1/389275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7969/575, 3427/677.
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 7969/575,3427/677?
Given fractions are 7969/575,3427/677
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 7969/575,3427/677, numerators are 7969,3427
Denominators are 575,677
The GCF of 7969,3427 is 1 .
LCM of 575,677 is 389275.
The greatest common factor of 7969/575,3427/677 = [GCF of 7969,3427]/[LCM of 575,677]= 1/389275
Therefore, the GCF of 7969/575,3427/677 is 1/389275.
To find the highest common factor of 7969,3427, we have to find the factors of both numbers and list the highest common factor.
The factors of 7969 are 1, 13, 613, 7969
The factors of 3427 are 1, 23, 149, 3427
The HCF of 7969,3427 is 1.
Lets's calculate GCF of 7969,3427
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7969,3427 By Matching Biggest Common Factor Method
Now, list down the factors of 7969
:1,13,613,7969
Now, list down the factors of 3427
:1,23,149,3427
Greatest Common Factor
We found the factors 7969,3427 . The biggest common factor number is the GCF number.
So the greatest common factor 7969,3427 is 1.
Lets's calculate LCM of 575,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 389275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389275
Therefore, the GCF of Fractions 7969/575,3427/677 is 1/389275
Least Common Multiple of 575,677 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 575,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,677) x common factors =1 x 1 = 1
LCM(575,677) = ( 575 × 677 ) / 1
LCM(575,677) = 389275 / 1
LCM(575,677) = 389275
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FAQs on GCF of Fractions of 7969/575, 3427/677
1. What is the HCF of 7969,3427?
The HCF of 7969,3427 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 7969/575, 3427/677?
Answer: GCF of Numerators as per given numbers 7969/575, 3427/677 is
GCF of Numerators i.e. for 7969,3427 is 1
LCM of denominators i.e. for 575,677 is 389275.
Thus, GCF of Fractions is 1/389275.Finally, GCF of Fractions for 7969/575, 3427/677 is 1/389275.