GCF of 4717/842, 3975/7741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4717/842, 3975/7741 i.e 53/6517922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4717/842, 3975/7741.
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 4717/842,3975/7741?
Given fractions are 4717/842,3975/7741
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 4717/842,3975/7741, numerators are 4717,3975
Denominators are 842,7741
The GCF of 4717,3975 is 53 .
LCM of 842,7741 is 6517922.
The greatest common factor of 4717/842,3975/7741 = [GCF of 4717,3975]/[LCM of 842,7741]= 53/6517922
Therefore, the GCF of 4717/842,3975/7741 is 53/6517922.
To find the highest common factor of 4717,3975, we have to find the factors of both numbers and list the highest common factor.
The factors of 4717 are 1, 53, 89, 4717
The factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975
The HCF of 4717,3975 is 53.
Lets's calculate GCF of 4717,3975
| 53 | 4717, 3975 |
| 89, 75 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 4717,3975 By Matching Biggest Common Factor Method
Now, list down the factors of 4717
:1,53,89,4717
Now, list down the factors of 3975
:1,3,5,15,25,53,75,159,265,795,1325,3975
Greatest Common Factor
We found the factors 4717,3975 . The biggest common factor number is the GCF number.
So the greatest common factor 4717,3975 is 53.
Lets's calculate LCM of 842,7741
Given numbers has no common factors except 1. So, there LCM is their product i.e 6517922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/6517922
Therefore, the GCF of Fractions 4717/842,3975/7741 is 53/6517922
Least Common Multiple of 842,7741 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 842,7741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,7741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,7741) x common factors =1 x 1 = 1
LCM(842,7741) = ( 842 × 7741 ) / 1
LCM(842,7741) = 6517922 / 1
LCM(842,7741) = 6517922
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FAQs on GCF of Fractions of 4717/842, 3975/7741
1. What is the HCF of 4717,3975?
The HCF of 4717,3975 is 53
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 4717/842, 3975/7741?
Answer: GCF of Numerators as per given numbers 4717/842, 3975/7741 is
GCF of Numerators i.e. for 4717,3975 is 53
LCM of denominators i.e. for 842,7741 is 6517922.
Thus, GCF of Fractions is 53/6517922.Finally, GCF of Fractions for 4717/842, 3975/7741 is 53/6517922.