GCF of 7289/496, 7004/5618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7289/496, 7004/5618 i.e 1/1393264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7289/496, 7004/5618.
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 7289/496,7004/5618?
Given fractions are 7289/496,7004/5618
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 7289/496,7004/5618, numerators are 7289,7004
Denominators are 496,5618
The GCF of 7289,7004 is 1 .
LCM of 496,5618 is 1393264.
The greatest common factor of 7289/496,7004/5618 = [GCF of 7289,7004]/[LCM of 496,5618]= 1/1393264
Therefore, the GCF of 7289/496,7004/5618 is 1/1393264.
To find the highest common factor of 7289,7004, we have to find the factors of both numbers and list the highest common factor.
The factors of 7289 are 1, 37, 197, 7289
The factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004
The HCF of 7289,7004 is 1.
Lets's calculate GCF of 7289,7004
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7289,7004 By Matching Biggest Common Factor Method
Now, list down the factors of 7289
:1,37,197,7289
Now, list down the factors of 7004
:1,2,4,17,34,68,103,206,412,1751,3502,7004
Greatest Common Factor
We found the factors 7289,7004 . The biggest common factor number is the GCF number.
So the greatest common factor 7289,7004 is 1.
Lets's calculate LCM of 496,5618
| 2 | 496, 5618 |
| 248, 2809 |
∴ So the LCM of the given numbers is 2 x 248 x 2809 = 1393264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1393264
Therefore, the GCF of Fractions 7289/496,7004/5618 is 1/1393264
Least Common Multiple of 496,5618 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 496,5618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,5618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,5618) x common factors =2 x 1 = 2
LCM(496,5618) = ( 496 × 5618 ) / 2
LCM(496,5618) = 2786528 / 2
LCM(496,5618) = 1393264
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7289/496, 7004/5618
1. What is the HCF of 7289,7004?
The HCF of 7289,7004 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 7289/496, 7004/5618?
Answer: GCF of Numerators as per given numbers 7289/496, 7004/5618 is
GCF of Numerators i.e. for 7289,7004 is 1
LCM of denominators i.e. for 496,5618 is 1393264.
Thus, GCF of Fractions is 1/1393264.Finally, GCF of Fractions for 7289/496, 7004/5618 is 1/1393264.