GCF of 1075/976, 1670/5719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1075/976, 1670/5719 i.e 5/5581744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1075/976, 1670/5719.
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 1075/976,1670/5719?
Given fractions are 1075/976,1670/5719
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 1075/976,1670/5719, numerators are 1075,1670
Denominators are 976,5719
The GCF of 1075,1670 is 5 .
LCM of 976,5719 is 5581744.
The greatest common factor of 1075/976,1670/5719 = [GCF of 1075,1670]/[LCM of 976,5719]= 5/5581744
Therefore, the GCF of 1075/976,1670/5719 is 5/5581744.
To find the highest common factor of 1075,1670, we have to find the factors of both numbers and list the highest common factor.
The factors of 1075 are 1, 5, 25, 43, 215, 1075
The factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670
The HCF of 1075,1670 is 5.
Lets's calculate GCF of 1075,1670
| 5 | 1075, 1670 |
| 215, 334 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1075,1670 By Matching Biggest Common Factor Method
Now, list down the factors of 1075
:1,5,25,43,215,1075
Now, list down the factors of 1670
:1,2,5,10,167,334,835,1670
Greatest Common Factor
We found the factors 1075,1670 . The biggest common factor number is the GCF number.
So the greatest common factor 1075,1670 is 5.
Lets's calculate LCM of 976,5719
Given numbers has no common factors except 1. So, there LCM is their product i.e 5581744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5581744
Therefore, the GCF of Fractions 1075/976,1670/5719 is 5/5581744
Least Common Multiple of 976,5719 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 976,5719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,5719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(976,5719) x common factors =1 x 1 = 1
LCM(976,5719) = ( 976 × 5719 ) / 1
LCM(976,5719) = 5581744 / 1
LCM(976,5719) = 5581744
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1075/976, 1670/5719
1. What is the HCF of 1075,1670?
The HCF of 1075,1670 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 1075/976, 1670/5719?
Answer: GCF of Numerators as per given numbers 1075/976, 1670/5719 is
GCF of Numerators i.e. for 1075,1670 is 5
LCM of denominators i.e. for 976,5719 is 5581744.
Thus, GCF of Fractions is 5/5581744.Finally, GCF of Fractions for 1075/976, 1670/5719 is 5/5581744.