GCF of 7588/938, 7794/8842
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7588/938, 7794/8842 i.e 2/4146898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7588/938, 7794/8842.
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 7588/938,7794/8842?
Given fractions are 7588/938,7794/8842
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 7588/938,7794/8842, numerators are 7588,7794
Denominators are 938,8842
The GCF of 7588,7794 is 2 .
LCM of 938,8842 is 4146898.
The greatest common factor of 7588/938,7794/8842 = [GCF of 7588,7794]/[LCM of 938,8842]= 2/4146898
Therefore, the GCF of 7588/938,7794/8842 is 2/4146898.
To find the highest common factor of 7588,7794, we have to find the factors of both numbers and list the highest common factor.
The factors of 7588 are 1, 2, 4, 7, 14, 28, 271, 542, 1084, 1897, 3794, 7588
The factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794
The HCF of 7588,7794 is 2.
Lets's calculate GCF of 7588,7794
| 2 | 7588, 7794 |
| 3794, 3897 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7588,7794 By Matching Biggest Common Factor Method
Now, list down the factors of 7588
:1,2,4,7,14,28,271,542,1084,1897,3794,7588
Now, list down the factors of 7794
:1,2,3,6,9,18,433,866,1299,2598,3897,7794
Greatest Common Factor
We found the factors 7588,7794 . The biggest common factor number is the GCF number.
So the greatest common factor 7588,7794 is 2.
Lets's calculate LCM of 938,8842
| 2 | 938, 8842 |
| 469, 4421 |
∴ So the LCM of the given numbers is 2 x 469 x 4421 = 4146898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4146898
Therefore, the GCF of Fractions 7588/938,7794/8842 is 2/4146898
Least Common Multiple of 938,8842 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 938,8842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,8842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,8842) x common factors =2 x 1 = 2
LCM(938,8842) = ( 938 × 8842 ) / 2
LCM(938,8842) = 8293796 / 2
LCM(938,8842) = 4146898
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FAQs on GCF of Fractions of 7588/938, 7794/8842
1. What is the HCF of 7588,7794?
The HCF of 7588,7794 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 7588/938, 7794/8842?
Answer: GCF of Numerators as per given numbers 7588/938, 7794/8842 is
GCF of Numerators i.e. for 7588,7794 is 2
LCM of denominators i.e. for 938,8842 is 4146898.
Thus, GCF of Fractions is 2/4146898.Finally, GCF of Fractions for 7588/938, 7794/8842 is 2/4146898.