GCF of 251/336, 3104/5187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 251/336, 3104/5187 i.e 1/82992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 251/336, 3104/5187.
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 251/336,3104/5187?
Given fractions are 251/336,3104/5187
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 251/336,3104/5187, numerators are 251,3104
Denominators are 336,5187
The GCF of 251,3104 is 1 .
LCM of 336,5187 is 82992.
The greatest common factor of 251/336,3104/5187 = [GCF of 251,3104]/[LCM of 336,5187]= 1/82992
Therefore, the GCF of 251/336,3104/5187 is 1/82992.
To find the highest common factor of 251,3104, 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 3104 are 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104
The HCF of 251,3104 is 1.
Lets's calculate GCF of 251,3104
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 251,3104 By Matching Biggest Common Factor Method
Now, list down the factors of 251
:1,251
Now, list down the factors of 3104
:1,2,4,8,16,32,97,194,388,776,1552,3104
Greatest Common Factor
We found the factors 251,3104 . The biggest common factor number is the GCF number.
So the greatest common factor 251,3104 is 1.
Lets's calculate LCM of 336,5187
| 3 | 336, 5187 |
| 7 | 112, 1729 |
| 16, 247 |
∴ So the LCM of the given numbers is 3 x 7 x 16 x 247 = 82992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82992
Therefore, the GCF of Fractions 251/336,3104/5187 is 1/82992
Least Common Multiple of 336,5187 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 336,5187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,5187) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(336,5187) x common factors =21 x 1 = 21
LCM(336,5187) = ( 336 × 5187 ) / 21
LCM(336,5187) = 1742832 / 21
LCM(336,5187) = 82992
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FAQs on GCF of Fractions of 251/336, 3104/5187
1. What is the HCF of 251,3104?
The HCF of 251,3104 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 251/336, 3104/5187?
Answer: GCF of Numerators as per given numbers 251/336, 3104/5187 is
GCF of Numerators i.e. for 251,3104 is 1
LCM of denominators i.e. for 336,5187 is 82992.
Thus, GCF of Fractions is 1/82992.Finally, GCF of Fractions for 251/336, 3104/5187 is 1/82992.