GCF of 4242/429, 6225/8313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4242/429, 6225/8313 i.e 3/1188759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4242/429, 6225/8313.
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 4242/429,6225/8313?
Given fractions are 4242/429,6225/8313
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 4242/429,6225/8313, numerators are 4242,6225
Denominators are 429,8313
The GCF of 4242,6225 is 3 .
LCM of 429,8313 is 1188759.
The greatest common factor of 4242/429,6225/8313 = [GCF of 4242,6225]/[LCM of 429,8313]= 3/1188759
Therefore, the GCF of 4242/429,6225/8313 is 3/1188759.
To find the highest common factor of 4242,6225, we have to find the factors of both numbers and list the highest common factor.
The factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242
The factors of 6225 are 1, 3, 5, 15, 25, 75, 83, 249, 415, 1245, 2075, 6225
The HCF of 4242,6225 is 3.
Lets's calculate GCF of 4242,6225
| 3 | 4242, 6225 |
| 1414, 2075 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4242,6225 By Matching Biggest Common Factor Method
Now, list down the factors of 4242
:1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242
Now, list down the factors of 6225
:1,3,5,15,25,75,83,249,415,1245,2075,6225
Greatest Common Factor
We found the factors 4242,6225 . The biggest common factor number is the GCF number.
So the greatest common factor 4242,6225 is 3.
Lets's calculate LCM of 429,8313
| 3 | 429, 8313 |
| 143, 2771 |
∴ So the LCM of the given numbers is 3 x 143 x 2771 = 1188759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1188759
Therefore, the GCF of Fractions 4242/429,6225/8313 is 3/1188759
Least Common Multiple of 429,8313 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 429,8313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,8313) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,8313) x common factors =3 x 1 = 3
LCM(429,8313) = ( 429 × 8313 ) / 3
LCM(429,8313) = 3566277 / 3
LCM(429,8313) = 1188759
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FAQs on GCF of Fractions of 4242/429, 6225/8313
1. What is the HCF of 4242,6225?
The HCF of 4242,6225 is 3
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 4242/429, 6225/8313?
Answer: GCF of Numerators as per given numbers 4242/429, 6225/8313 is
GCF of Numerators i.e. for 4242,6225 is 3
LCM of denominators i.e. for 429,8313 is 1188759.
Thus, GCF of Fractions is 3/1188759.Finally, GCF of Fractions for 4242/429, 6225/8313 is 3/1188759.