GCF of 7617/823, 4180/4074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7617/823, 4180/4074 i.e 1/3352902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7617/823, 4180/4074.
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 7617/823,4180/4074?
Given fractions are 7617/823,4180/4074
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 7617/823,4180/4074, numerators are 7617,4180
Denominators are 823,4074
The GCF of 7617,4180 is 1 .
LCM of 823,4074 is 3352902.
The greatest common factor of 7617/823,4180/4074 = [GCF of 7617,4180]/[LCM of 823,4074]= 1/3352902
Therefore, the GCF of 7617/823,4180/4074 is 1/3352902.
To find the highest common factor of 7617,4180, we have to find the factors of both numbers and list the highest common factor.
The factors of 7617 are 1, 3, 2539, 7617
The factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180
The HCF of 7617,4180 is 1.
Lets's calculate GCF of 7617,4180
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7617,4180 By Matching Biggest Common Factor Method
Now, list down the factors of 7617
:1,3,2539,7617
Now, list down the factors of 4180
:1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180
Greatest Common Factor
We found the factors 7617,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 7617,4180 is 1.
Lets's calculate LCM of 823,4074
Given numbers has no common factors except 1. So, there LCM is their product i.e 3352902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3352902
Therefore, the GCF of Fractions 7617/823,4180/4074 is 1/3352902
Least Common Multiple of 823,4074 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 823,4074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,4074) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,4074) x common factors =1 x 1 = 1
LCM(823,4074) = ( 823 × 4074 ) / 1
LCM(823,4074) = 3352902 / 1
LCM(823,4074) = 3352902
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FAQs on GCF of Fractions of 7617/823, 4180/4074
1. What is the HCF of 7617,4180?
The HCF of 7617,4180 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 7617/823, 4180/4074?
Answer: GCF of Numerators as per given numbers 7617/823, 4180/4074 is
GCF of Numerators i.e. for 7617,4180 is 1
LCM of denominators i.e. for 823,4074 is 3352902.
Thus, GCF of Fractions is 1/3352902.Finally, GCF of Fractions for 7617/823, 4180/4074 is 1/3352902.