GCF of 8335/171, 4025/251
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8335/171, 4025/251 i.e 5/42921 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8335/171, 4025/251.
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 8335/171,4025/251?
Given fractions are 8335/171,4025/251
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 8335/171,4025/251, numerators are 8335,4025
Denominators are 171,251
The GCF of 8335,4025 is 5 .
LCM of 171,251 is 42921.
The greatest common factor of 8335/171,4025/251 = [GCF of 8335,4025]/[LCM of 171,251]= 5/42921
Therefore, the GCF of 8335/171,4025/251 is 5/42921.
To find the highest common factor of 8335,4025, we have to find the factors of both numbers and list the highest common factor.
The factors of 8335 are 1, 5, 1667, 8335
The factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025
The HCF of 8335,4025 is 5.
Lets's calculate GCF of 8335,4025
| 5 | 8335, 4025 |
| 1667, 805 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8335,4025 By Matching Biggest Common Factor Method
Now, list down the factors of 8335
:1,5,1667,8335
Now, list down the factors of 4025
:1,5,7,23,25,35,115,161,175,575,805,4025
Greatest Common Factor
We found the factors 8335,4025 . The biggest common factor number is the GCF number.
So the greatest common factor 8335,4025 is 5.
Lets's calculate LCM of 171,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 42921
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/42921
Therefore, the GCF of Fractions 8335/171,4025/251 is 5/42921
Least Common Multiple of 171,251 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 171,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,251) x common factors =1 x 1 = 1
LCM(171,251) = ( 171 × 251 ) / 1
LCM(171,251) = 42921 / 1
LCM(171,251) = 42921
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FAQs on GCF of Fractions of 8335/171, 4025/251
1. What is the HCF of 8335,4025?
The HCF of 8335,4025 is 5
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 8335/171, 4025/251?
Answer: GCF of Numerators as per given numbers 8335/171, 4025/251 is
GCF of Numerators i.e. for 8335,4025 is 5
LCM of denominators i.e. for 171,251 is 42921.
Thus, GCF of Fractions is 5/42921.Finally, GCF of Fractions for 8335/171, 4025/251 is 5/42921.