GCF of 1660/130, 5731/1124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1660/130, 5731/1124 i.e 1/73060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1660/130, 5731/1124.
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 1660/130,5731/1124?
Given fractions are 1660/130,5731/1124
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 1660/130,5731/1124, numerators are 1660,5731
Denominators are 130,1124
The GCF of 1660,5731 is 1 .
LCM of 130,1124 is 73060.
The greatest common factor of 1660/130,5731/1124 = [GCF of 1660,5731]/[LCM of 130,1124]= 1/73060
Therefore, the GCF of 1660/130,5731/1124 is 1/73060.
To find the highest common factor of 1660,5731, we have to find the factors of both numbers and list the highest common factor.
The factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660
The factors of 5731 are 1, 11, 521, 5731
The HCF of 1660,5731 is 1.
Lets's calculate GCF of 1660,5731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1660,5731 By Matching Biggest Common Factor Method
Now, list down the factors of 1660
:1,2,4,5,10,20,83,166,332,415,830,1660
Now, list down the factors of 5731
:1,11,521,5731
Greatest Common Factor
We found the factors 1660,5731 . The biggest common factor number is the GCF number.
So the greatest common factor 1660,5731 is 1.
Lets's calculate LCM of 130,1124
| 2 | 130, 1124 |
| 65, 562 |
∴ So the LCM of the given numbers is 2 x 65 x 562 = 73060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73060
Therefore, the GCF of Fractions 1660/130,5731/1124 is 1/73060
Least Common Multiple of 130,1124 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 130,1124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,1124) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,1124) x common factors =2 x 1 = 2
LCM(130,1124) = ( 130 × 1124 ) / 2
LCM(130,1124) = 146120 / 2
LCM(130,1124) = 73060
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FAQs on GCF of Fractions of 1660/130, 5731/1124
1. What is the HCF of 1660,5731?
The HCF of 1660,5731 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 1660/130, 5731/1124?
Answer: GCF of Numerators as per given numbers 1660/130, 5731/1124 is
GCF of Numerators i.e. for 1660,5731 is 1
LCM of denominators i.e. for 130,1124 is 73060.
Thus, GCF of Fractions is 1/73060.Finally, GCF of Fractions for 1660/130, 5731/1124 is 1/73060.