GCF of 5392/821, 9619/8528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5392/821, 9619/8528 i.e 1/7001488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5392/821, 9619/8528.
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 5392/821,9619/8528?
Given fractions are 5392/821,9619/8528
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 5392/821,9619/8528, numerators are 5392,9619
Denominators are 821,8528
The GCF of 5392,9619 is 1 .
LCM of 821,8528 is 7001488.
The greatest common factor of 5392/821,9619/8528 = [GCF of 5392,9619]/[LCM of 821,8528]= 1/7001488
Therefore, the GCF of 5392/821,9619/8528 is 1/7001488.
To find the highest common factor of 5392,9619, we have to find the factors of both numbers and list the highest common factor.
The factors of 5392 are 1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392
The factors of 9619 are 1, 9619
The HCF of 5392,9619 is 1.
Lets's calculate GCF of 5392,9619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5392,9619 By Matching Biggest Common Factor Method
Now, list down the factors of 5392
:1,2,4,8,16,337,674,1348,2696,5392
Now, list down the factors of 9619
:1,9619
Greatest Common Factor
We found the factors 5392,9619 . The biggest common factor number is the GCF number.
So the greatest common factor 5392,9619 is 1.
Lets's calculate LCM of 821,8528
Given numbers has no common factors except 1. So, there LCM is their product i.e 7001488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7001488
Therefore, the GCF of Fractions 5392/821,9619/8528 is 1/7001488
Least Common Multiple of 821,8528 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 821,8528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,8528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,8528) x common factors =1 x 1 = 1
LCM(821,8528) = ( 821 × 8528 ) / 1
LCM(821,8528) = 7001488 / 1
LCM(821,8528) = 7001488
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5392/821, 9619/8528
1. What is the HCF of 5392,9619?
The HCF of 5392,9619 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 5392/821, 9619/8528?
Answer: GCF of Numerators as per given numbers 5392/821, 9619/8528 is
GCF of Numerators i.e. for 5392,9619 is 1
LCM of denominators i.e. for 821,8528 is 7001488.
Thus, GCF of Fractions is 1/7001488.Finally, GCF of Fractions for 5392/821, 9619/8528 is 1/7001488.