GCF of 4206/784, 3921/8725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4206/784, 3921/8725 i.e 3/6840400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4206/784, 3921/8725.
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 4206/784,3921/8725?
Given fractions are 4206/784,3921/8725
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 4206/784,3921/8725, numerators are 4206,3921
Denominators are 784,8725
The GCF of 4206,3921 is 3 .
LCM of 784,8725 is 6840400.
The greatest common factor of 4206/784,3921/8725 = [GCF of 4206,3921]/[LCM of 784,8725]= 3/6840400
Therefore, the GCF of 4206/784,3921/8725 is 3/6840400.
To find the highest common factor of 4206,3921, we have to find the factors of both numbers and list the highest common factor.
The factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206
The factors of 3921 are 1, 3, 1307, 3921
The HCF of 4206,3921 is 3.
Lets's calculate GCF of 4206,3921
| 3 | 4206, 3921 |
| 1402, 1307 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4206,3921 By Matching Biggest Common Factor Method
Now, list down the factors of 4206
:1,2,3,6,701,1402,2103,4206
Now, list down the factors of 3921
:1,3,1307,3921
Greatest Common Factor
We found the factors 4206,3921 . The biggest common factor number is the GCF number.
So the greatest common factor 4206,3921 is 3.
Lets's calculate LCM of 784,8725
Given numbers has no common factors except 1. So, there LCM is their product i.e 6840400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6840400
Therefore, the GCF of Fractions 4206/784,3921/8725 is 3/6840400
Least Common Multiple of 784,8725 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 784,8725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,8725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,8725) x common factors =1 x 1 = 1
LCM(784,8725) = ( 784 × 8725 ) / 1
LCM(784,8725) = 6840400 / 1
LCM(784,8725) = 6840400
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FAQs on GCF of Fractions of 4206/784, 3921/8725
1. What is the HCF of 4206,3921?
The HCF of 4206,3921 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 4206/784, 3921/8725?
Answer: GCF of Numerators as per given numbers 4206/784, 3921/8725 is
GCF of Numerators i.e. for 4206,3921 is 3
LCM of denominators i.e. for 784,8725 is 6840400.
Thus, GCF of Fractions is 3/6840400.Finally, GCF of Fractions for 4206/784, 3921/8725 is 3/6840400.