GCF of 5171/980, 4042/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5171/980, 4042/410 i.e 1/40180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5171/980, 4042/410.
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 5171/980,4042/410?
Given fractions are 5171/980,4042/410
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 5171/980,4042/410, numerators are 5171,4042
Denominators are 980,410
The GCF of 5171,4042 is 1 .
LCM of 980,410 is 40180.
The greatest common factor of 5171/980,4042/410 = [GCF of 5171,4042]/[LCM of 980,410]= 1/40180
Therefore, the GCF of 5171/980,4042/410 is 1/40180.
To find the highest common factor of 5171,4042, we have to find the factors of both numbers and list the highest common factor.
The factors of 5171 are 1, 5171
The factors of 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042
The HCF of 5171,4042 is 1.
Lets's calculate GCF of 5171,4042
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5171,4042 By Matching Biggest Common Factor Method
Now, list down the factors of 5171
:1,5171
Now, list down the factors of 4042
:1,2,43,47,86,94,2021,4042
Greatest Common Factor
We found the factors 5171,4042 . The biggest common factor number is the GCF number.
So the greatest common factor 5171,4042 is 1.
Lets's calculate LCM of 980,410
| 2 | 980, 410 |
| 5 | 490, 205 |
| 98, 41 |
∴ So the LCM of the given numbers is 2 x 5 x 98 x 41 = 40180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40180
Therefore, the GCF of Fractions 5171/980,4042/410 is 1/40180
Least Common Multiple of 980,410 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 980,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,410) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(980,410) x common factors =10 x 1 = 10
LCM(980,410) = ( 980 × 410 ) / 10
LCM(980,410) = 401800 / 10
LCM(980,410) = 40180
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FAQs on GCF of Fractions of 5171/980, 4042/410
1. What is the HCF of 5171,4042?
The HCF of 5171,4042 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 5171/980, 4042/410?
Answer: GCF of Numerators as per given numbers 5171/980, 4042/410 is
GCF of Numerators i.e. for 5171,4042 is 1
LCM of denominators i.e. for 980,410 is 40180.
Thus, GCF of Fractions is 1/40180.Finally, GCF of Fractions for 5171/980, 4042/410 is 1/40180.