GCF of 4242/821, 8421/6768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4242/821, 8421/6768 i.e 21/5556528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4242/821, 8421/6768.
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 4242/821,8421/6768?
Given fractions are 4242/821,8421/6768
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 4242/821,8421/6768, numerators are 4242,8421
Denominators are 821,6768
The GCF of 4242,8421 is 21 .
LCM of 821,6768 is 5556528.
The greatest common factor of 4242/821,8421/6768 = [GCF of 4242,8421]/[LCM of 821,6768]= 21/5556528
Therefore, the GCF of 4242/821,8421/6768 is 21/5556528.
To find the highest common factor of 4242,8421, 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 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421
The HCF of 4242,8421 is 21.
Lets's calculate GCF of 4242,8421
| 3 | 4242, 8421 |
| 7 | 1414, 2807 |
| 202, 401 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 4242,8421 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 8421
:1,3,7,21,401,1203,2807,8421
Greatest Common Factor
We found the factors 4242,8421 . The biggest common factor number is the GCF number.
So the greatest common factor 4242,8421 is 21.
Lets's calculate LCM of 821,6768
Given numbers has no common factors except 1. So, there LCM is their product i.e 5556528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/5556528
Therefore, the GCF of Fractions 4242/821,8421/6768 is 21/5556528
Least Common Multiple of 821,6768 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 821,6768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,6768) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,6768) x common factors =1 x 1 = 1
LCM(821,6768) = ( 821 × 6768 ) / 1
LCM(821,6768) = 5556528 / 1
LCM(821,6768) = 5556528
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FAQs on GCF of Fractions of 4242/821, 8421/6768
1. What is the HCF of 4242,8421?
The HCF of 4242,8421 is 21
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 4242/821, 8421/6768?
Answer: GCF of Numerators as per given numbers 4242/821, 8421/6768 is
GCF of Numerators i.e. for 4242,8421 is 21
LCM of denominators i.e. for 821,6768 is 5556528.
Thus, GCF of Fractions is 21/5556528.Finally, GCF of Fractions for 4242/821, 8421/6768 is 21/5556528.