GCF of 8421/447, 4906/596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8421/447, 4906/596 i.e 1/1788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8421/447, 4906/596.
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 8421/447,4906/596?
Given fractions are 8421/447,4906/596
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 8421/447,4906/596, numerators are 8421,4906
Denominators are 447,596
The GCF of 8421,4906 is 1 .
LCM of 447,596 is 1788.
The greatest common factor of 8421/447,4906/596 = [GCF of 8421,4906]/[LCM of 447,596]= 1/1788
Therefore, the GCF of 8421/447,4906/596 is 1/1788.
To find the highest common factor of 8421,4906, we have to find the factors of both numbers and list the highest common factor.
The factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421
The factors of 4906 are 1, 2, 11, 22, 223, 446, 2453, 4906
The HCF of 8421,4906 is 1.
Lets's calculate GCF of 8421,4906
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8421,4906 By Matching Biggest Common Factor Method
Now, list down the factors of 8421
:1,3,7,21,401,1203,2807,8421
Now, list down the factors of 4906
:1,2,11,22,223,446,2453,4906
Greatest Common Factor
We found the factors 8421,4906 . The biggest common factor number is the GCF number.
So the greatest common factor 8421,4906 is 1.
Lets's calculate LCM of 447,596
| 149 | 447, 596 |
| 3, 4 |
∴ So the LCM of the given numbers is 149 x 3 x 4 = 1788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788
Therefore, the GCF of Fractions 8421/447,4906/596 is 1/1788
Least Common Multiple of 447,596 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 447,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,596) = 149
common factors(in case of two or more numbers have common factors) = 1
GCF(447,596) x common factors =149 x 1 = 149
LCM(447,596) = ( 447 × 596 ) / 149
LCM(447,596) = 266412 / 149
LCM(447,596) = 1788
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FAQs on GCF of Fractions of 8421/447, 4906/596
1. What is the HCF of 8421,4906?
The HCF of 8421,4906 is 1
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 8421/447, 4906/596?
Answer: GCF of Numerators as per given numbers 8421/447, 4906/596 is
GCF of Numerators i.e. for 8421,4906 is 1
LCM of denominators i.e. for 447,596 is 1788.
Thus, GCF of Fractions is 1/1788.Finally, GCF of Fractions for 8421/447, 4906/596 is 1/1788.