GCF of 7526/388, 6974/9926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7526/388, 6974/9926 i.e 2/1925644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7526/388, 6974/9926.
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 7526/388,6974/9926?
Given fractions are 7526/388,6974/9926
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 7526/388,6974/9926, numerators are 7526,6974
Denominators are 388,9926
The GCF of 7526,6974 is 2 .
LCM of 388,9926 is 1925644.
The greatest common factor of 7526/388,6974/9926 = [GCF of 7526,6974]/[LCM of 388,9926]= 2/1925644
Therefore, the GCF of 7526/388,6974/9926 is 2/1925644.
To find the highest common factor of 7526,6974, we have to find the factors of both numbers and list the highest common factor.
The factors of 7526 are 1, 2, 53, 71, 106, 142, 3763, 7526
The factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974
The HCF of 7526,6974 is 2.
Lets's calculate GCF of 7526,6974
| 2 | 7526, 6974 |
| 3763, 3487 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7526,6974 By Matching Biggest Common Factor Method
Now, list down the factors of 7526
:1,2,53,71,106,142,3763,7526
Now, list down the factors of 6974
:1,2,11,22,317,634,3487,6974
Greatest Common Factor
We found the factors 7526,6974 . The biggest common factor number is the GCF number.
So the greatest common factor 7526,6974 is 2.
Lets's calculate LCM of 388,9926
| 2 | 388, 9926 |
| 194, 4963 |
∴ So the LCM of the given numbers is 2 x 194 x 4963 = 1925644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1925644
Therefore, the GCF of Fractions 7526/388,6974/9926 is 2/1925644
Least Common Multiple of 388,9926 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 388,9926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,9926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,9926) x common factors =2 x 1 = 2
LCM(388,9926) = ( 388 × 9926 ) / 2
LCM(388,9926) = 3851288 / 2
LCM(388,9926) = 1925644
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FAQs on GCF of Fractions of 7526/388, 6974/9926
1. What is the HCF of 7526,6974?
The HCF of 7526,6974 is 2
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 7526/388, 6974/9926?
Answer: GCF of Numerators as per given numbers 7526/388, 6974/9926 is
GCF of Numerators i.e. for 7526,6974 is 2
LCM of denominators i.e. for 388,9926 is 1925644.
Thus, GCF of Fractions is 2/1925644.Finally, GCF of Fractions for 7526/388, 6974/9926 is 2/1925644.