GCF of 7099/957, 4665/8057
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7099/957, 4665/8057 i.e 1/7710549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7099/957, 4665/8057.
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 7099/957,4665/8057?
Given fractions are 7099/957,4665/8057
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 7099/957,4665/8057, numerators are 7099,4665
Denominators are 957,8057
The GCF of 7099,4665 is 1 .
LCM of 957,8057 is 7710549.
The greatest common factor of 7099/957,4665/8057 = [GCF of 7099,4665]/[LCM of 957,8057]= 1/7710549
Therefore, the GCF of 7099/957,4665/8057 is 1/7710549.
To find the highest common factor of 7099,4665, we have to find the factors of both numbers and list the highest common factor.
The factors of 7099 are 1, 31, 229, 7099
The factors of 4665 are 1, 3, 5, 15, 311, 933, 1555, 4665
The HCF of 7099,4665 is 1.
Lets's calculate GCF of 7099,4665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7099,4665 By Matching Biggest Common Factor Method
Now, list down the factors of 7099
:1,31,229,7099
Now, list down the factors of 4665
:1,3,5,15,311,933,1555,4665
Greatest Common Factor
We found the factors 7099,4665 . The biggest common factor number is the GCF number.
So the greatest common factor 7099,4665 is 1.
Lets's calculate LCM of 957,8057
Given numbers has no common factors except 1. So, there LCM is their product i.e 7710549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7710549
Therefore, the GCF of Fractions 7099/957,4665/8057 is 1/7710549
Least Common Multiple of 957,8057 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 957,8057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,8057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(957,8057) x common factors =1 x 1 = 1
LCM(957,8057) = ( 957 × 8057 ) / 1
LCM(957,8057) = 7710549 / 1
LCM(957,8057) = 7710549
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FAQs on GCF of Fractions of 7099/957, 4665/8057
1. What is the HCF of 7099,4665?
The HCF of 7099,4665 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 7099/957, 4665/8057?
Answer: GCF of Numerators as per given numbers 7099/957, 4665/8057 is
GCF of Numerators i.e. for 7099,4665 is 1
LCM of denominators i.e. for 957,8057 is 7710549.
Thus, GCF of Fractions is 1/7710549.Finally, GCF of Fractions for 7099/957, 4665/8057 is 1/7710549.