GCF of 9781/363, 7612/4558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9781/363, 7612/4558 i.e 1/1654554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9781/363, 7612/4558.
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 9781/363,7612/4558?
Given fractions are 9781/363,7612/4558
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 9781/363,7612/4558, numerators are 9781,7612
Denominators are 363,4558
The GCF of 9781,7612 is 1 .
LCM of 363,4558 is 1654554.
The greatest common factor of 9781/363,7612/4558 = [GCF of 9781,7612]/[LCM of 363,4558]= 1/1654554
Therefore, the GCF of 9781/363,7612/4558 is 1/1654554.
To find the highest common factor of 9781,7612, we have to find the factors of both numbers and list the highest common factor.
The factors of 9781 are 1, 9781
The factors of 7612 are 1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612
The HCF of 9781,7612 is 1.
Lets's calculate GCF of 9781,7612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9781,7612 By Matching Biggest Common Factor Method
Now, list down the factors of 9781
:1,9781
Now, list down the factors of 7612
:1,2,4,11,22,44,173,346,692,1903,3806,7612
Greatest Common Factor
We found the factors 9781,7612 . The biggest common factor number is the GCF number.
So the greatest common factor 9781,7612 is 1.
Lets's calculate LCM of 363,4558
Given numbers has no common factors except 1. So, there LCM is their product i.e 1654554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1654554
Therefore, the GCF of Fractions 9781/363,7612/4558 is 1/1654554
Least Common Multiple of 363,4558 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 363,4558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,4558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,4558) x common factors =1 x 1 = 1
LCM(363,4558) = ( 363 × 4558 ) / 1
LCM(363,4558) = 1654554 / 1
LCM(363,4558) = 1654554
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9781/363, 7612/4558
1. What is the HCF of 9781,7612?
The HCF of 9781,7612 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 9781/363, 7612/4558?
Answer: GCF of Numerators as per given numbers 9781/363, 7612/4558 is
GCF of Numerators i.e. for 9781,7612 is 1
LCM of denominators i.e. for 363,4558 is 1654554.
Thus, GCF of Fractions is 1/1654554.Finally, GCF of Fractions for 9781/363, 7612/4558 is 1/1654554.