GCF of 8603/905, 8742/1832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8603/905, 8742/1832 i.e 1/1657960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8603/905, 8742/1832.
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 8603/905,8742/1832?
Given fractions are 8603/905,8742/1832
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 8603/905,8742/1832, numerators are 8603,8742
Denominators are 905,1832
The GCF of 8603,8742 is 1 .
LCM of 905,1832 is 1657960.
The greatest common factor of 8603/905,8742/1832 = [GCF of 8603,8742]/[LCM of 905,1832]= 1/1657960
Therefore, the GCF of 8603/905,8742/1832 is 1/1657960.
To find the highest common factor of 8603,8742, we have to find the factors of both numbers and list the highest common factor.
The factors of 8603 are 1, 7, 1229, 8603
The factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742
The HCF of 8603,8742 is 1.
Lets's calculate GCF of 8603,8742
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8603,8742 By Matching Biggest Common Factor Method
Now, list down the factors of 8603
:1,7,1229,8603
Now, list down the factors of 8742
:1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742
Greatest Common Factor
We found the factors 8603,8742 . The biggest common factor number is the GCF number.
So the greatest common factor 8603,8742 is 1.
Lets's calculate LCM of 905,1832
Given numbers has no common factors except 1. So, there LCM is their product i.e 1657960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1657960
Therefore, the GCF of Fractions 8603/905,8742/1832 is 1/1657960
Least Common Multiple of 905,1832 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 905,1832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,1832) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,1832) x common factors =1 x 1 = 1
LCM(905,1832) = ( 905 × 1832 ) / 1
LCM(905,1832) = 1657960 / 1
LCM(905,1832) = 1657960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8603/905, 8742/1832
1. What is the HCF of 8603,8742?
The HCF of 8603,8742 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 8603/905, 8742/1832?
Answer: GCF of Numerators as per given numbers 8603/905, 8742/1832 is
GCF of Numerators i.e. for 8603,8742 is 1
LCM of denominators i.e. for 905,1832 is 1657960.
Thus, GCF of Fractions is 1/1657960.Finally, GCF of Fractions for 8603/905, 8742/1832 is 1/1657960.