GCF of 7159/766, 5558/5698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7159/766, 5558/5698 i.e 1/2182334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7159/766, 5558/5698.
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 7159/766,5558/5698?
Given fractions are 7159/766,5558/5698
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 7159/766,5558/5698, numerators are 7159,5558
Denominators are 766,5698
The GCF of 7159,5558 is 1 .
LCM of 766,5698 is 2182334.
The greatest common factor of 7159/766,5558/5698 = [GCF of 7159,5558]/[LCM of 766,5698]= 1/2182334
Therefore, the GCF of 7159/766,5558/5698 is 1/2182334.
To find the highest common factor of 7159,5558, we have to find the factors of both numbers and list the highest common factor.
The factors of 7159 are 1, 7159
The factors of 5558 are 1, 2, 7, 14, 397, 794, 2779, 5558
The HCF of 7159,5558 is 1.
Lets's calculate GCF of 7159,5558
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7159,5558 By Matching Biggest Common Factor Method
Now, list down the factors of 7159
:1,7159
Now, list down the factors of 5558
:1,2,7,14,397,794,2779,5558
Greatest Common Factor
We found the factors 7159,5558 . The biggest common factor number is the GCF number.
So the greatest common factor 7159,5558 is 1.
Lets's calculate LCM of 766,5698
| 2 | 766, 5698 |
| 383, 2849 |
∴ So the LCM of the given numbers is 2 x 383 x 2849 = 2182334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2182334
Therefore, the GCF of Fractions 7159/766,5558/5698 is 1/2182334
Least Common Multiple of 766,5698 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 766,5698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,5698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,5698) x common factors =2 x 1 = 2
LCM(766,5698) = ( 766 × 5698 ) / 2
LCM(766,5698) = 4364668 / 2
LCM(766,5698) = 2182334
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7159/766, 5558/5698
1. What is the HCF of 7159,5558?
The HCF of 7159,5558 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 7159/766, 5558/5698?
Answer: GCF of Numerators as per given numbers 7159/766, 5558/5698 is
GCF of Numerators i.e. for 7159,5558 is 1
LCM of denominators i.e. for 766,5698 is 2182334.
Thus, GCF of Fractions is 1/2182334.Finally, GCF of Fractions for 7159/766, 5558/5698 is 1/2182334.