GCF of 127/237, 514/628, 470/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 127/237, 514/628, 470/815 i.e 1/121301340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 127/237, 514/628, 470/815.
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 127/237,514/628,470/815?
Given fractions are 127/237,514/628,470/815
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 127/237,514/628,470/815, numerators are 127,514,470
Denominators are 237,628,815
The GCF of 127,514,470 is 1 .
LCM of 237,628,815 is 121301340.
The greatest common factor of 127/237,514/628,470/815 = [GCF of 127,514,470]/[LCM of 237,628,815]= 1/121301340
Therefore, the GCF of 127/237,514/628,470/815 is 1/121301340.
To find the highest common factor of 127,514,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 127 are 1, 127
The factors of 514 are 1, 2, 257, 514
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 127,514,470 is 1.
Lets's calculate GCF of 127,514,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 127,514,470 By Matching Biggest Common Factor Method
Now, list down the factors of 127
:1,127
Now, list down the factors of 514
:1,2,257,514
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 127,514,470 . The biggest common factor number is the GCF number.
So the greatest common factor 127,514,470 is 1.
Lets's calculate LCM of 237,628,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 121301340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121301340
Therefore, the GCF of Fractions 127/237,514/628,470/815 is 1/121301340
Least Common Multiple of 237,628,815 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 237,628,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,628,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,628,815) x common factors =1 x 1 = 1
LCM(237,628,815) = ( 237 × 628 × 815 ) / 1
LCM(237,628,815) = 121301340 / 1
LCM(237,628,815) = 121301340
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FAQs on GCF of Fractions of 127/237, 514/628, 470/815
1. What is the HCF of 127,514,470?
The HCF of 127,514,470 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 127/237, 514/628, 470/815?
Answer: GCF of Numerators as per given numbers 127/237, 514/628, 470/815 is
GCF of Numerators i.e. for 127,514,470 is 1
LCM of denominators i.e. for 237,628,815 is 121301340.
Thus, GCF of Fractions is 1/121301340.Finally, GCF of Fractions for 127/237, 514/628, 470/815 is 1/121301340.