GCF of 2869/435, 8678/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2869/435, 8678/580 i.e 1/1740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2869/435, 8678/580.
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 2869/435,8678/580?
Given fractions are 2869/435,8678/580
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 2869/435,8678/580, numerators are 2869,8678
Denominators are 435,580
The GCF of 2869,8678 is 1 .
LCM of 435,580 is 1740.
The greatest common factor of 2869/435,8678/580 = [GCF of 2869,8678]/[LCM of 435,580]= 1/1740
Therefore, the GCF of 2869/435,8678/580 is 1/1740.
To find the highest common factor of 2869,8678, we have to find the factors of both numbers and list the highest common factor.
The factors of 2869 are 1, 19, 151, 2869
The factors of 8678 are 1, 2, 4339, 8678
The HCF of 2869,8678 is 1.
Lets's calculate GCF of 2869,8678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2869,8678 By Matching Biggest Common Factor Method
Now, list down the factors of 2869
:1,19,151,2869
Now, list down the factors of 8678
:1,2,4339,8678
Greatest Common Factor
We found the factors 2869,8678 . The biggest common factor number is the GCF number.
So the greatest common factor 2869,8678 is 1.
Lets's calculate LCM of 435,580
| 5 | 435, 580 |
| 29 | 87, 116 |
| 3, 4 |
∴ So the LCM of the given numbers is 5 x 29 x 3 x 4 = 1740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1740
Therefore, the GCF of Fractions 2869/435,8678/580 is 1/1740
Least Common Multiple of 435,580 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 435,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,580) = 145
common factors(in case of two or more numbers have common factors) = 1
GCF(435,580) x common factors =145 x 1 = 145
LCM(435,580) = ( 435 × 580 ) / 145
LCM(435,580) = 252300 / 145
LCM(435,580) = 1740
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2869/435, 8678/580
1. What is the HCF of 2869,8678?
The HCF of 2869,8678 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 2869/435, 8678/580?
Answer: GCF of Numerators as per given numbers 2869/435, 8678/580 is
GCF of Numerators i.e. for 2869,8678 is 1
LCM of denominators i.e. for 435,580 is 1740.
Thus, GCF of Fractions is 1/1740.Finally, GCF of Fractions for 2869/435, 8678/580 is 1/1740.