GCF of 1503/878, 4345/1810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1503/878, 4345/1810 i.e 1/794590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1503/878, 4345/1810.
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 1503/878,4345/1810?
Given fractions are 1503/878,4345/1810
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 1503/878,4345/1810, numerators are 1503,4345
Denominators are 878,1810
The GCF of 1503,4345 is 1 .
LCM of 878,1810 is 794590.
The greatest common factor of 1503/878,4345/1810 = [GCF of 1503,4345]/[LCM of 878,1810]= 1/794590
Therefore, the GCF of 1503/878,4345/1810 is 1/794590.
To find the highest common factor of 1503,4345, we have to find the factors of both numbers and list the highest common factor.
The factors of 1503 are 1, 3, 9, 167, 501, 1503
The factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345
The HCF of 1503,4345 is 1.
Lets's calculate GCF of 1503,4345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1503,4345 By Matching Biggest Common Factor Method
Now, list down the factors of 1503
:1,3,9,167,501,1503
Now, list down the factors of 4345
:1,5,11,55,79,395,869,4345
Greatest Common Factor
We found the factors 1503,4345 . The biggest common factor number is the GCF number.
So the greatest common factor 1503,4345 is 1.
Lets's calculate LCM of 878,1810
| 2 | 878, 1810 |
| 439, 905 |
∴ So the LCM of the given numbers is 2 x 439 x 905 = 794590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/794590
Therefore, the GCF of Fractions 1503/878,4345/1810 is 1/794590
Least Common Multiple of 878,1810 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 878,1810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,1810) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,1810) x common factors =2 x 1 = 2
LCM(878,1810) = ( 878 × 1810 ) / 2
LCM(878,1810) = 1589180 / 2
LCM(878,1810) = 794590
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1503/878, 4345/1810
1. What is the HCF of 1503,4345?
The HCF of 1503,4345 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 1503/878, 4345/1810?
Answer: GCF of Numerators as per given numbers 1503/878, 4345/1810 is
GCF of Numerators i.e. for 1503,4345 is 1
LCM of denominators i.e. for 878,1810 is 794590.
Thus, GCF of Fractions is 1/794590.Finally, GCF of Fractions for 1503/878, 4345/1810 is 1/794590.