GCF of 7923/490, 4022/787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7923/490, 4022/787 i.e 1/385630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7923/490, 4022/787.
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 7923/490,4022/787?
Given fractions are 7923/490,4022/787
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 7923/490,4022/787, numerators are 7923,4022
Denominators are 490,787
The GCF of 7923,4022 is 1 .
LCM of 490,787 is 385630.
The greatest common factor of 7923/490,4022/787 = [GCF of 7923,4022]/[LCM of 490,787]= 1/385630
Therefore, the GCF of 7923/490,4022/787 is 1/385630.
To find the highest common factor of 7923,4022, we have to find the factors of both numbers and list the highest common factor.
The factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923
The factors of 4022 are 1, 2, 2011, 4022
The HCF of 7923,4022 is 1.
Lets's calculate GCF of 7923,4022
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7923,4022 By Matching Biggest Common Factor Method
Now, list down the factors of 7923
:1,3,19,57,139,417,2641,7923
Now, list down the factors of 4022
:1,2,2011,4022
Greatest Common Factor
We found the factors 7923,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 7923,4022 is 1.
Lets's calculate LCM of 490,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 385630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385630
Therefore, the GCF of Fractions 7923/490,4022/787 is 1/385630
Least Common Multiple of 490,787 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 490,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(490,787) x common factors =1 x 1 = 1
LCM(490,787) = ( 490 × 787 ) / 1
LCM(490,787) = 385630 / 1
LCM(490,787) = 385630
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7923/490, 4022/787
1. What is the HCF of 7923,4022?
The HCF of 7923,4022 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 7923/490, 4022/787?
Answer: GCF of Numerators as per given numbers 7923/490, 4022/787 is
GCF of Numerators i.e. for 7923,4022 is 1
LCM of denominators i.e. for 490,787 is 385630.
Thus, GCF of Fractions is 1/385630.Finally, GCF of Fractions for 7923/490, 4022/787 is 1/385630.