GCF of 6338/908, 1762/2936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6338/908, 1762/2936 i.e 2/666472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6338/908, 1762/2936.
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 6338/908,1762/2936?
Given fractions are 6338/908,1762/2936
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 6338/908,1762/2936, numerators are 6338,1762
Denominators are 908,2936
The GCF of 6338,1762 is 2 .
LCM of 908,2936 is 666472.
The greatest common factor of 6338/908,1762/2936 = [GCF of 6338,1762]/[LCM of 908,2936]= 2/666472
Therefore, the GCF of 6338/908,1762/2936 is 2/666472.
To find the highest common factor of 6338,1762, we have to find the factors of both numbers and list the highest common factor.
The factors of 6338 are 1, 2, 3169, 6338
The factors of 1762 are 1, 2, 881, 1762
The HCF of 6338,1762 is 2.
Lets's calculate GCF of 6338,1762
| 2 | 6338, 1762 |
| 3169, 881 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6338,1762 By Matching Biggest Common Factor Method
Now, list down the factors of 6338
:1,2,3169,6338
Now, list down the factors of 1762
:1,2,881,1762
Greatest Common Factor
We found the factors 6338,1762 . The biggest common factor number is the GCF number.
So the greatest common factor 6338,1762 is 2.
Lets's calculate LCM of 908,2936
| 2 | 908, 2936 |
| 2 | 454, 1468 |
| 227, 734 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 734 = 666472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/666472
Therefore, the GCF of Fractions 6338/908,1762/2936 is 2/666472
Least Common Multiple of 908,2936 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 908,2936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,2936) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(908,2936) x common factors =4 x 1 = 4
LCM(908,2936) = ( 908 × 2936 ) / 4
LCM(908,2936) = 2665888 / 4
LCM(908,2936) = 666472
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FAQs on GCF of Fractions of 6338/908, 1762/2936
1. What is the HCF of 6338,1762?
The HCF of 6338,1762 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 6338/908, 1762/2936?
Answer: GCF of Numerators as per given numbers 6338/908, 1762/2936 is
GCF of Numerators i.e. for 6338,1762 is 2
LCM of denominators i.e. for 908,2936 is 666472.
Thus, GCF of Fractions is 2/666472.Finally, GCF of Fractions for 6338/908, 1762/2936 is 2/666472.