GCF of 251/30, 966/5725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 251/30, 966/5725 i.e 1/34350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 251/30, 966/5725.
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 251/30,966/5725?
Given fractions are 251/30,966/5725
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 251/30,966/5725, numerators are 251,966
Denominators are 30,5725
The GCF of 251,966 is 1 .
LCM of 30,5725 is 34350.
The greatest common factor of 251/30,966/5725 = [GCF of 251,966]/[LCM of 30,5725]= 1/34350
Therefore, the GCF of 251/30,966/5725 is 1/34350.
To find the highest common factor of 251,966, we have to find the factors of both numbers and list the highest common factor.
The factors of 251 are 1, 251
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
The HCF of 251,966 is 1.
Lets's calculate GCF of 251,966
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 251,966 By Matching Biggest Common Factor Method
Now, list down the factors of 251
:1,251
Now, list down the factors of 966
:1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 251,966 . The biggest common factor number is the GCF number.
So the greatest common factor 251,966 is 1.
Lets's calculate LCM of 30,5725
| 5 | 30, 5725 |
| 6, 1145 |
∴ So the LCM of the given numbers is 5 x 6 x 1145 = 34350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34350
Therefore, the GCF of Fractions 251/30,966/5725 is 1/34350
Least Common Multiple of 30,5725 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 30,5725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,5725) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(30,5725) x common factors =5 x 1 = 5
LCM(30,5725) = ( 30 × 5725 ) / 5
LCM(30,5725) = 171750 / 5
LCM(30,5725) = 34350
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FAQs on GCF of Fractions of 251/30, 966/5725
1. What is the HCF of 251,966?
The HCF of 251,966 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 251/30, 966/5725?
Answer: GCF of Numerators as per given numbers 251/30, 966/5725 is
GCF of Numerators i.e. for 251,966 is 1
LCM of denominators i.e. for 30,5725 is 34350.
Thus, GCF of Fractions is 1/34350.Finally, GCF of Fractions for 251/30, 966/5725 is 1/34350.