GCF of 7669/515, 7955/429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7669/515, 7955/429 i.e 1/220935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7669/515, 7955/429.
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 7669/515,7955/429?
Given fractions are 7669/515,7955/429
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 7669/515,7955/429, numerators are 7669,7955
Denominators are 515,429
The GCF of 7669,7955 is 1 .
LCM of 515,429 is 220935.
The greatest common factor of 7669/515,7955/429 = [GCF of 7669,7955]/[LCM of 515,429]= 1/220935
Therefore, the GCF of 7669/515,7955/429 is 1/220935.
To find the highest common factor of 7669,7955, we have to find the factors of both numbers and list the highest common factor.
The factors of 7669 are 1, 7669
The factors of 7955 are 1, 5, 37, 43, 185, 215, 1591, 7955
The HCF of 7669,7955 is 1.
Lets's calculate GCF of 7669,7955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7669,7955 By Matching Biggest Common Factor Method
Now, list down the factors of 7669
:1,7669
Now, list down the factors of 7955
:1,5,37,43,185,215,1591,7955
Greatest Common Factor
We found the factors 7669,7955 . The biggest common factor number is the GCF number.
So the greatest common factor 7669,7955 is 1.
Lets's calculate LCM of 515,429
Given numbers has no common factors except 1. So, there LCM is their product i.e 220935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220935
Therefore, the GCF of Fractions 7669/515,7955/429 is 1/220935
Least Common Multiple of 515,429 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 515,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,429) x common factors =1 x 1 = 1
LCM(515,429) = ( 515 × 429 ) / 1
LCM(515,429) = 220935 / 1
LCM(515,429) = 220935
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FAQs on GCF of Fractions of 7669/515, 7955/429
1. What is the HCF of 7669,7955?
The HCF of 7669,7955 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 7669/515, 7955/429?
Answer: GCF of Numerators as per given numbers 7669/515, 7955/429 is
GCF of Numerators i.e. for 7669,7955 is 1
LCM of denominators i.e. for 515,429 is 220935.
Thus, GCF of Fractions is 1/220935.Finally, GCF of Fractions for 7669/515, 7955/429 is 1/220935.