GCF of 127/470, 1122/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 127/470, 1122/814 i.e 1/191290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 127/470, 1122/814.
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 127/470,1122/814?
Given fractions are 127/470,1122/814
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 127/470,1122/814, numerators are 127,1122
Denominators are 470,814
The GCF of 127,1122 is 1 .
LCM of 470,814 is 191290.
The greatest common factor of 127/470,1122/814 = [GCF of 127,1122]/[LCM of 470,814]= 1/191290
Therefore, the GCF of 127/470,1122/814 is 1/191290.
To find the highest common factor of 127,1122, 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 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122
The HCF of 127,1122 is 1.
Lets's calculate GCF of 127,1122
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 127,1122 By Matching Biggest Common Factor Method
Now, list down the factors of 127
:1,127
Now, list down the factors of 1122
:1,2,3,6,11,17,22,33,34,51,66,102,187,374,561,1122
Greatest Common Factor
We found the factors 127,1122 . The biggest common factor number is the GCF number.
So the greatest common factor 127,1122 is 1.
Lets's calculate LCM of 470,814
| 2 | 470, 814 |
| 235, 407 |
∴ So the LCM of the given numbers is 2 x 235 x 407 = 191290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191290
Therefore, the GCF of Fractions 127/470,1122/814 is 1/191290
Least Common Multiple of 470,814 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 470,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,814) x common factors =2 x 1 = 2
LCM(470,814) = ( 470 × 814 ) / 2
LCM(470,814) = 382580 / 2
LCM(470,814) = 191290
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FAQs on GCF of Fractions of 127/470, 1122/814
1. What is the HCF of 127,1122?
The HCF of 127,1122 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 127/470, 1122/814?
Answer: GCF of Numerators as per given numbers 127/470, 1122/814 is
GCF of Numerators i.e. for 127,1122 is 1
LCM of denominators i.e. for 470,814 is 191290.
Thus, GCF of Fractions is 1/191290.Finally, GCF of Fractions for 127/470, 1122/814 is 1/191290.