GCF of 3656/524, 7943/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3656/524, 7943/741 i.e 1/388284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3656/524, 7943/741.
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 3656/524,7943/741?
Given fractions are 3656/524,7943/741
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 3656/524,7943/741, numerators are 3656,7943
Denominators are 524,741
The GCF of 3656,7943 is 1 .
LCM of 524,741 is 388284.
The greatest common factor of 3656/524,7943/741 = [GCF of 3656,7943]/[LCM of 524,741]= 1/388284
Therefore, the GCF of 3656/524,7943/741 is 1/388284.
To find the highest common factor of 3656,7943, we have to find the factors of both numbers and list the highest common factor.
The factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656
The factors of 7943 are 1, 13, 47, 169, 611, 7943
The HCF of 3656,7943 is 1.
Lets's calculate GCF of 3656,7943
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3656,7943 By Matching Biggest Common Factor Method
Now, list down the factors of 3656
:1,2,4,8,457,914,1828,3656
Now, list down the factors of 7943
:1,13,47,169,611,7943
Greatest Common Factor
We found the factors 3656,7943 . The biggest common factor number is the GCF number.
So the greatest common factor 3656,7943 is 1.
Lets's calculate LCM of 524,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 388284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388284
Therefore, the GCF of Fractions 3656/524,7943/741 is 1/388284
Least Common Multiple of 524,741 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 524,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(524,741) x common factors =1 x 1 = 1
LCM(524,741) = ( 524 × 741 ) / 1
LCM(524,741) = 388284 / 1
LCM(524,741) = 388284
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FAQs on GCF of Fractions of 3656/524, 7943/741
1. What is the HCF of 3656,7943?
The HCF of 3656,7943 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 3656/524, 7943/741?
Answer: GCF of Numerators as per given numbers 3656/524, 7943/741 is
GCF of Numerators i.e. for 3656,7943 is 1
LCM of denominators i.e. for 524,741 is 388284.
Thus, GCF of Fractions is 1/388284.Finally, GCF of Fractions for 3656/524, 7943/741 is 1/388284.