GCF of 3820/545, 3757/8968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3820/545, 3757/8968 i.e 1/4887560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3820/545, 3757/8968.
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 3820/545,3757/8968?
Given fractions are 3820/545,3757/8968
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 3820/545,3757/8968, numerators are 3820,3757
Denominators are 545,8968
The GCF of 3820,3757 is 1 .
LCM of 545,8968 is 4887560.
The greatest common factor of 3820/545,3757/8968 = [GCF of 3820,3757]/[LCM of 545,8968]= 1/4887560
Therefore, the GCF of 3820/545,3757/8968 is 1/4887560.
To find the highest common factor of 3820,3757, we have to find the factors of both numbers and list the highest common factor.
The factors of 3820 are 1, 2, 4, 5, 10, 20, 191, 382, 764, 955, 1910, 3820
The factors of 3757 are 1, 13, 17, 221, 289, 3757
The HCF of 3820,3757 is 1.
Lets's calculate GCF of 3820,3757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3820,3757 By Matching Biggest Common Factor Method
Now, list down the factors of 3820
:1,2,4,5,10,20,191,382,764,955,1910,3820
Now, list down the factors of 3757
:1,13,17,221,289,3757
Greatest Common Factor
We found the factors 3820,3757 . The biggest common factor number is the GCF number.
So the greatest common factor 3820,3757 is 1.
Lets's calculate LCM of 545,8968
Given numbers has no common factors except 1. So, there LCM is their product i.e 4887560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4887560
Therefore, the GCF of Fractions 3820/545,3757/8968 is 1/4887560
Least Common Multiple of 545,8968 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 545,8968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,8968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,8968) x common factors =1 x 1 = 1
LCM(545,8968) = ( 545 × 8968 ) / 1
LCM(545,8968) = 4887560 / 1
LCM(545,8968) = 4887560
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FAQs on GCF of Fractions of 3820/545, 3757/8968
1. What is the HCF of 3820,3757?
The HCF of 3820,3757 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 3820/545, 3757/8968?
Answer: GCF of Numerators as per given numbers 3820/545, 3757/8968 is
GCF of Numerators i.e. for 3820,3757 is 1
LCM of denominators i.e. for 545,8968 is 4887560.
Thus, GCF of Fractions is 1/4887560.Finally, GCF of Fractions for 3820/545, 3757/8968 is 1/4887560.