GCF of 2377/150, 5130/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2377/150, 5130/687 i.e 1/34350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2377/150, 5130/687.
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 2377/150,5130/687?
Given fractions are 2377/150,5130/687
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 2377/150,5130/687, numerators are 2377,5130
Denominators are 150,687
The GCF of 2377,5130 is 1 .
LCM of 150,687 is 34350.
The greatest common factor of 2377/150,5130/687 = [GCF of 2377,5130]/[LCM of 150,687]= 1/34350
Therefore, the GCF of 2377/150,5130/687 is 1/34350.
To find the highest common factor of 2377,5130, we have to find the factors of both numbers and list the highest common factor.
The factors of 2377 are 1, 2377
The factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130
The HCF of 2377,5130 is 1.
Lets's calculate GCF of 2377,5130
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2377,5130 By Matching Biggest Common Factor Method
Now, list down the factors of 2377
:1,2377
Now, list down the factors of 5130
:1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130
Greatest Common Factor
We found the factors 2377,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 2377,5130 is 1.
Lets's calculate LCM of 150,687
| 3 | 150, 687 |
| 50, 229 |
∴ So the LCM of the given numbers is 3 x 50 x 229 = 34350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34350
Therefore, the GCF of Fractions 2377/150,5130/687 is 1/34350
Least Common Multiple of 150,687 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 150,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,687) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(150,687) x common factors =3 x 1 = 3
LCM(150,687) = ( 150 × 687 ) / 3
LCM(150,687) = 103050 / 3
LCM(150,687) = 34350
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FAQs on GCF of Fractions of 2377/150, 5130/687
1. What is the HCF of 2377,5130?
The HCF of 2377,5130 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 2377/150, 5130/687?
Answer: GCF of Numerators as per given numbers 2377/150, 5130/687 is
GCF of Numerators i.e. for 2377,5130 is 1
LCM of denominators i.e. for 150,687 is 34350.
Thus, GCF of Fractions is 1/34350.Finally, GCF of Fractions for 2377/150, 5130/687 is 1/34350.