GCF of 7789/524, 5157/6274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7789/524, 5157/6274 i.e 1/1643788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7789/524, 5157/6274.
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 7789/524,5157/6274?
Given fractions are 7789/524,5157/6274
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 7789/524,5157/6274, numerators are 7789,5157
Denominators are 524,6274
The GCF of 7789,5157 is 1 .
LCM of 524,6274 is 1643788.
The greatest common factor of 7789/524,5157/6274 = [GCF of 7789,5157]/[LCM of 524,6274]= 1/1643788
Therefore, the GCF of 7789/524,5157/6274 is 1/1643788.
To find the highest common factor of 7789,5157, we have to find the factors of both numbers and list the highest common factor.
The factors of 7789 are 1, 7789
The factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157
The HCF of 7789,5157 is 1.
Lets's calculate GCF of 7789,5157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7789,5157 By Matching Biggest Common Factor Method
Now, list down the factors of 7789
:1,7789
Now, list down the factors of 5157
:1,3,9,27,191,573,1719,5157
Greatest Common Factor
We found the factors 7789,5157 . The biggest common factor number is the GCF number.
So the greatest common factor 7789,5157 is 1.
Lets's calculate LCM of 524,6274
| 2 | 524, 6274 |
| 262, 3137 |
∴ So the LCM of the given numbers is 2 x 262 x 3137 = 1643788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1643788
Therefore, the GCF of Fractions 7789/524,5157/6274 is 1/1643788
Least Common Multiple of 524,6274 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 524,6274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,6274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,6274) x common factors =2 x 1 = 2
LCM(524,6274) = ( 524 × 6274 ) / 2
LCM(524,6274) = 3287576 / 2
LCM(524,6274) = 1643788
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7789/524, 5157/6274
1. What is the HCF of 7789,5157?
The HCF of 7789,5157 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 7789/524, 5157/6274?
Answer: GCF of Numerators as per given numbers 7789/524, 5157/6274 is
GCF of Numerators i.e. for 7789,5157 is 1
LCM of denominators i.e. for 524,6274 is 1643788.
Thus, GCF of Fractions is 1/1643788.Finally, GCF of Fractions for 7789/524, 5157/6274 is 1/1643788.