GCF of 5613/676, 1645/8629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5613/676, 1645/8629 i.e 1/5833204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5613/676, 1645/8629.
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 5613/676,1645/8629?
Given fractions are 5613/676,1645/8629
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 5613/676,1645/8629, numerators are 5613,1645
Denominators are 676,8629
The GCF of 5613,1645 is 1 .
LCM of 676,8629 is 5833204.
The greatest common factor of 5613/676,1645/8629 = [GCF of 5613,1645]/[LCM of 676,8629]= 1/5833204
Therefore, the GCF of 5613/676,1645/8629 is 1/5833204.
To find the highest common factor of 5613,1645, we have to find the factors of both numbers and list the highest common factor.
The factors of 5613 are 1, 3, 1871, 5613
The factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645
The HCF of 5613,1645 is 1.
Lets's calculate GCF of 5613,1645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5613,1645 By Matching Biggest Common Factor Method
Now, list down the factors of 5613
:1,3,1871,5613
Now, list down the factors of 1645
:1,5,7,35,47,235,329,1645
Greatest Common Factor
We found the factors 5613,1645 . The biggest common factor number is the GCF number.
So the greatest common factor 5613,1645 is 1.
Lets's calculate LCM of 676,8629
Given numbers has no common factors except 1. So, there LCM is their product i.e 5833204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5833204
Therefore, the GCF of Fractions 5613/676,1645/8629 is 1/5833204
Least Common Multiple of 676,8629 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 676,8629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,8629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(676,8629) x common factors =1 x 1 = 1
LCM(676,8629) = ( 676 × 8629 ) / 1
LCM(676,8629) = 5833204 / 1
LCM(676,8629) = 5833204
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FAQs on GCF of Fractions of 5613/676, 1645/8629
1. What is the HCF of 5613,1645?
The HCF of 5613,1645 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 5613/676, 1645/8629?
Answer: GCF of Numerators as per given numbers 5613/676, 1645/8629 is
GCF of Numerators i.e. for 5613,1645 is 1
LCM of denominators i.e. for 676,8629 is 5833204.
Thus, GCF of Fractions is 1/5833204.Finally, GCF of Fractions for 5613/676, 1645/8629 is 1/5833204.