GCF of 4208/202, 9462/143
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4208/202, 9462/143 i.e 2/28886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4208/202, 9462/143.
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 4208/202,9462/143?
Given fractions are 4208/202,9462/143
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 4208/202,9462/143, numerators are 4208,9462
Denominators are 202,143
The GCF of 4208,9462 is 2 .
LCM of 202,143 is 28886.
The greatest common factor of 4208/202,9462/143 = [GCF of 4208,9462]/[LCM of 202,143]= 2/28886
Therefore, the GCF of 4208/202,9462/143 is 2/28886.
To find the highest common factor of 4208,9462, we have to find the factors of both numbers and list the highest common factor.
The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
The factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462
The HCF of 4208,9462 is 2.
Lets's calculate GCF of 4208,9462
| 2 | 4208, 9462 |
| 2104, 4731 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4208,9462 By Matching Biggest Common Factor Method
Now, list down the factors of 4208
:1,2,4,8,16,263,526,1052,2104,4208
Now, list down the factors of 9462
:1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462
Greatest Common Factor
We found the factors 4208,9462 . The biggest common factor number is the GCF number.
So the greatest common factor 4208,9462 is 2.
Lets's calculate LCM of 202,143
Given numbers has no common factors except 1. So, there LCM is their product i.e 28886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28886
Therefore, the GCF of Fractions 4208/202,9462/143 is 2/28886
Least Common Multiple of 202,143 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 202,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,143) x common factors =1 x 1 = 1
LCM(202,143) = ( 202 × 143 ) / 1
LCM(202,143) = 28886 / 1
LCM(202,143) = 28886
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FAQs on GCF of Fractions of 4208/202, 9462/143
1. What is the HCF of 4208,9462?
The HCF of 4208,9462 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 4208/202, 9462/143?
Answer: GCF of Numerators as per given numbers 4208/202, 9462/143 is
GCF of Numerators i.e. for 4208,9462 is 2
LCM of denominators i.e. for 202,143 is 28886.
Thus, GCF of Fractions is 2/28886.Finally, GCF of Fractions for 4208/202, 9462/143 is 2/28886.