GCF of 1927/510, 8857/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1927/510, 8857/750 i.e 1/12750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1927/510, 8857/750.
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 1927/510,8857/750?
Given fractions are 1927/510,8857/750
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 1927/510,8857/750, numerators are 1927,8857
Denominators are 510,750
The GCF of 1927,8857 is 1 .
LCM of 510,750 is 12750.
The greatest common factor of 1927/510,8857/750 = [GCF of 1927,8857]/[LCM of 510,750]= 1/12750
Therefore, the GCF of 1927/510,8857/750 is 1/12750.
To find the highest common factor of 1927,8857, we have to find the factors of both numbers and list the highest common factor.
The factors of 1927 are 1, 41, 47, 1927
The factors of 8857 are 1, 17, 521, 8857
The HCF of 1927,8857 is 1.
Lets's calculate GCF of 1927,8857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1927,8857 By Matching Biggest Common Factor Method
Now, list down the factors of 1927
:1,41,47,1927
Now, list down the factors of 8857
:1,17,521,8857
Greatest Common Factor
We found the factors 1927,8857 . The biggest common factor number is the GCF number.
So the greatest common factor 1927,8857 is 1.
Lets's calculate LCM of 510,750
| 2 | 510, 750 |
| 3 | 255, 375 |
| 5 | 85, 125 |
| 17, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 25 = 12750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12750
Therefore, the GCF of Fractions 1927/510,8857/750 is 1/12750
Least Common Multiple of 510,750 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 510,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,750) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(510,750) x common factors =30 x 1 = 30
LCM(510,750) = ( 510 × 750 ) / 30
LCM(510,750) = 382500 / 30
LCM(510,750) = 12750
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1927/510, 8857/750
1. What is the HCF of 1927,8857?
The HCF of 1927,8857 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 1927/510, 8857/750?
Answer: GCF of Numerators as per given numbers 1927/510, 8857/750 is
GCF of Numerators i.e. for 1927,8857 is 1
LCM of denominators i.e. for 510,750 is 12750.
Thus, GCF of Fractions is 1/12750.Finally, GCF of Fractions for 1927/510, 8857/750 is 1/12750.