GCF of 957/362, 5087/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 957/362, 5087/218 i.e 1/39458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/362, 5087/218.
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 957/362,5087/218?
Given fractions are 957/362,5087/218
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 957/362,5087/218, numerators are 957,5087
Denominators are 362,218
The GCF of 957,5087 is 1 .
LCM of 362,218 is 39458.
The greatest common factor of 957/362,5087/218 = [GCF of 957,5087]/[LCM of 362,218]= 1/39458
Therefore, the GCF of 957/362,5087/218 is 1/39458.
To find the highest common factor of 957,5087, we have to find the factors of both numbers and list the highest common factor.
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The factors of 5087 are 1, 5087
The HCF of 957,5087 is 1.
Lets's calculate GCF of 957,5087
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 957,5087 By Matching Biggest Common Factor Method
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Now, list down the factors of 5087
:1,5087
Greatest Common Factor
We found the factors 957,5087 . The biggest common factor number is the GCF number.
So the greatest common factor 957,5087 is 1.
Lets's calculate LCM of 362,218
| 2 | 362, 218 |
| 181, 109 |
∴ So the LCM of the given numbers is 2 x 181 x 109 = 39458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39458
Therefore, the GCF of Fractions 957/362,5087/218 is 1/39458
Least Common Multiple of 362,218 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 362,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,218) x common factors =2 x 1 = 2
LCM(362,218) = ( 362 × 218 ) / 2
LCM(362,218) = 78916 / 2
LCM(362,218) = 39458
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FAQs on GCF of Fractions of 957/362, 5087/218
1. What is the HCF of 957,5087?
The HCF of 957,5087 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 957/362, 5087/218?
Answer: GCF of Numerators as per given numbers 957/362, 5087/218 is
GCF of Numerators i.e. for 957,5087 is 1
LCM of denominators i.e. for 362,218 is 39458.
Thus, GCF of Fractions is 1/39458.Finally, GCF of Fractions for 957/362, 5087/218 is 1/39458.