GCF of 146/507, 1288/1109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 146/507, 1288/1109 i.e 2/562263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/507, 1288/1109.
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 146/507,1288/1109?
Given fractions are 146/507,1288/1109
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 146/507,1288/1109, numerators are 146,1288
Denominators are 507,1109
The GCF of 146,1288 is 2 .
LCM of 507,1109 is 562263.
The greatest common factor of 146/507,1288/1109 = [GCF of 146,1288]/[LCM of 507,1109]= 2/562263
Therefore, the GCF of 146/507,1288/1109 is 2/562263.
To find the highest common factor of 146,1288, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288
The HCF of 146,1288 is 2.
Lets's calculate GCF of 146,1288
| 2 | 146, 1288 |
| 73, 644 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 146,1288 By Matching Biggest Common Factor Method
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 1288
:1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288
Greatest Common Factor
We found the factors 146,1288 . The biggest common factor number is the GCF number.
So the greatest common factor 146,1288 is 2.
Lets's calculate LCM of 507,1109
Given numbers has no common factors except 1. So, there LCM is their product i.e 562263
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/562263
Therefore, the GCF of Fractions 146/507,1288/1109 is 2/562263
Least Common Multiple of 507,1109 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 507,1109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,1109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,1109) x common factors =1 x 1 = 1
LCM(507,1109) = ( 507 × 1109 ) / 1
LCM(507,1109) = 562263 / 1
LCM(507,1109) = 562263
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FAQs on GCF of Fractions of 146/507, 1288/1109
1. What is the HCF of 146,1288?
The HCF of 146,1288 is 2
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 146/507, 1288/1109?
Answer: GCF of Numerators as per given numbers 146/507, 1288/1109 is
GCF of Numerators i.e. for 146,1288 is 2
LCM of denominators i.e. for 507,1109 is 562263.
Thus, GCF of Fractions is 2/562263.Finally, GCF of Fractions for 146/507, 1288/1109 is 2/562263.