GCF of 526/404, 7035/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 526/404, 7035/678 i.e 1/136956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 526/404, 7035/678.
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 526/404,7035/678?
Given fractions are 526/404,7035/678
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 526/404,7035/678, numerators are 526,7035
Denominators are 404,678
The GCF of 526,7035 is 1 .
LCM of 404,678 is 136956.
The greatest common factor of 526/404,7035/678 = [GCF of 526,7035]/[LCM of 404,678]= 1/136956
Therefore, the GCF of 526/404,7035/678 is 1/136956.
To find the highest common factor of 526,7035, we have to find the factors of both numbers and list the highest common factor.
The factors of 526 are 1, 2, 263, 526
The factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035
The HCF of 526,7035 is 1.
Lets's calculate GCF of 526,7035
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 526,7035 By Matching Biggest Common Factor Method
Now, list down the factors of 526
:1,2,263,526
Now, list down the factors of 7035
:1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035
Greatest Common Factor
We found the factors 526,7035 . The biggest common factor number is the GCF number.
So the greatest common factor 526,7035 is 1.
Lets's calculate LCM of 404,678
| 2 | 404, 678 |
| 202, 339 |
∴ So the LCM of the given numbers is 2 x 202 x 339 = 136956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136956
Therefore, the GCF of Fractions 526/404,7035/678 is 1/136956
Least Common Multiple of 404,678 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 404,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(404,678) x common factors =2 x 1 = 2
LCM(404,678) = ( 404 × 678 ) / 2
LCM(404,678) = 273912 / 2
LCM(404,678) = 136956
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 526/404, 7035/678
1. What is the HCF of 526,7035?
The HCF of 526,7035 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 526/404, 7035/678?
Answer: GCF of Numerators as per given numbers 526/404, 7035/678 is
GCF of Numerators i.e. for 526,7035 is 1
LCM of denominators i.e. for 404,678 is 136956.
Thus, GCF of Fractions is 1/136956.Finally, GCF of Fractions for 526/404, 7035/678 is 1/136956.