GCF of 5008/342, 8454/636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5008/342, 8454/636 i.e 2/36252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5008/342, 8454/636.
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 5008/342,8454/636?
Given fractions are 5008/342,8454/636
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 5008/342,8454/636, numerators are 5008,8454
Denominators are 342,636
The GCF of 5008,8454 is 2 .
LCM of 342,636 is 36252.
The greatest common factor of 5008/342,8454/636 = [GCF of 5008,8454]/[LCM of 342,636]= 2/36252
Therefore, the GCF of 5008/342,8454/636 is 2/36252.
To find the highest common factor of 5008,8454, we have to find the factors of both numbers and list the highest common factor.
The factors of 5008 are 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008
The factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454
The HCF of 5008,8454 is 2.
Lets's calculate GCF of 5008,8454
| 2 | 5008, 8454 |
| 2504, 4227 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5008,8454 By Matching Biggest Common Factor Method
Now, list down the factors of 5008
:1,2,4,8,16,313,626,1252,2504,5008
Now, list down the factors of 8454
:1,2,3,6,1409,2818,4227,8454
Greatest Common Factor
We found the factors 5008,8454 . The biggest common factor number is the GCF number.
So the greatest common factor 5008,8454 is 2.
Lets's calculate LCM of 342,636
| 2 | 342, 636 |
| 3 | 171, 318 |
| 57, 106 |
∴ So the LCM of the given numbers is 2 x 3 x 57 x 106 = 36252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36252
Therefore, the GCF of Fractions 5008/342,8454/636 is 2/36252
Least Common Multiple of 342,636 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 342,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,636) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(342,636) x common factors =6 x 1 = 6
LCM(342,636) = ( 342 × 636 ) / 6
LCM(342,636) = 217512 / 6
LCM(342,636) = 36252
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FAQs on GCF of Fractions of 5008/342, 8454/636
1. What is the HCF of 5008,8454?
The HCF of 5008,8454 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 5008/342, 8454/636?
Answer: GCF of Numerators as per given numbers 5008/342, 8454/636 is
GCF of Numerators i.e. for 5008,8454 is 2
LCM of denominators i.e. for 342,636 is 36252.
Thus, GCF of Fractions is 2/36252.Finally, GCF of Fractions for 5008/342, 8454/636 is 2/36252.