GCF of 4171/505, 3882/7870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4171/505, 3882/7870 i.e 1/794870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4171/505, 3882/7870.
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 4171/505,3882/7870?
Given fractions are 4171/505,3882/7870
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 4171/505,3882/7870, numerators are 4171,3882
Denominators are 505,7870
The GCF of 4171,3882 is 1 .
LCM of 505,7870 is 794870.
The greatest common factor of 4171/505,3882/7870 = [GCF of 4171,3882]/[LCM of 505,7870]= 1/794870
Therefore, the GCF of 4171/505,3882/7870 is 1/794870.
To find the highest common factor of 4171,3882, we have to find the factors of both numbers and list the highest common factor.
The factors of 4171 are 1, 43, 97, 4171
The factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882
The HCF of 4171,3882 is 1.
Lets's calculate GCF of 4171,3882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4171,3882 By Matching Biggest Common Factor Method
Now, list down the factors of 4171
:1,43,97,4171
Now, list down the factors of 3882
:1,2,3,6,647,1294,1941,3882
Greatest Common Factor
We found the factors 4171,3882 . The biggest common factor number is the GCF number.
So the greatest common factor 4171,3882 is 1.
Lets's calculate LCM of 505,7870
| 5 | 505, 7870 |
| 101, 1574 |
∴ So the LCM of the given numbers is 5 x 101 x 1574 = 794870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/794870
Therefore, the GCF of Fractions 4171/505,3882/7870 is 1/794870
Least Common Multiple of 505,7870 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 505,7870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,7870) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(505,7870) x common factors =5 x 1 = 5
LCM(505,7870) = ( 505 × 7870 ) / 5
LCM(505,7870) = 3974350 / 5
LCM(505,7870) = 794870
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FAQs on GCF of Fractions of 4171/505, 3882/7870
1. What is the HCF of 4171,3882?
The HCF of 4171,3882 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 4171/505, 3882/7870?
Answer: GCF of Numerators as per given numbers 4171/505, 3882/7870 is
GCF of Numerators i.e. for 4171,3882 is 1
LCM of denominators i.e. for 505,7870 is 794870.
Thus, GCF of Fractions is 1/794870.Finally, GCF of Fractions for 4171/505, 3882/7870 is 1/794870.