GCF of 1405/128, 1730/950
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1405/128, 1730/950 i.e 5/60800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1405/128, 1730/950.
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 1405/128,1730/950?
Given fractions are 1405/128,1730/950
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 1405/128,1730/950, numerators are 1405,1730
Denominators are 128,950
The GCF of 1405,1730 is 5 .
LCM of 128,950 is 60800.
The greatest common factor of 1405/128,1730/950 = [GCF of 1405,1730]/[LCM of 128,950]= 5/60800
Therefore, the GCF of 1405/128,1730/950 is 5/60800.
To find the highest common factor of 1405,1730, we have to find the factors of both numbers and list the highest common factor.
The factors of 1405 are 1, 5, 281, 1405
The factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730
The HCF of 1405,1730 is 5.
Lets's calculate GCF of 1405,1730
| 5 | 1405, 1730 |
| 281, 346 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1405,1730 By Matching Biggest Common Factor Method
Now, list down the factors of 1405
:1,5,281,1405
Now, list down the factors of 1730
:1,2,5,10,173,346,865,1730
Greatest Common Factor
We found the factors 1405,1730 . The biggest common factor number is the GCF number.
So the greatest common factor 1405,1730 is 5.
Lets's calculate LCM of 128,950
| 2 | 128, 950 |
| 64, 475 |
∴ So the LCM of the given numbers is 2 x 64 x 475 = 60800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/60800
Therefore, the GCF of Fractions 1405/128,1730/950 is 5/60800
Least Common Multiple of 128,950 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 128,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,950) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,950) x common factors =2 x 1 = 2
LCM(128,950) = ( 128 × 950 ) / 2
LCM(128,950) = 121600 / 2
LCM(128,950) = 60800
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FAQs on GCF of Fractions of 1405/128, 1730/950
1. What is the HCF of 1405,1730?
The HCF of 1405,1730 is 5
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 1405/128, 1730/950?
Answer: GCF of Numerators as per given numbers 1405/128, 1730/950 is
GCF of Numerators i.e. for 1405,1730 is 5
LCM of denominators i.e. for 128,950 is 60800.
Thus, GCF of Fractions is 5/60800.Finally, GCF of Fractions for 1405/128, 1730/950 is 5/60800.