GCF of 7888/401, 2954/1243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7888/401, 2954/1243 i.e 2/498443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7888/401, 2954/1243.
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 7888/401,2954/1243?
Given fractions are 7888/401,2954/1243
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 7888/401,2954/1243, numerators are 7888,2954
Denominators are 401,1243
The GCF of 7888,2954 is 2 .
LCM of 401,1243 is 498443.
The greatest common factor of 7888/401,2954/1243 = [GCF of 7888,2954]/[LCM of 401,1243]= 2/498443
Therefore, the GCF of 7888/401,2954/1243 is 2/498443.
To find the highest common factor of 7888,2954, we have to find the factors of both numbers and list the highest common factor.
The factors of 7888 are 1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888
The factors of 2954 are 1, 2, 7, 14, 211, 422, 1477, 2954
The HCF of 7888,2954 is 2.
Lets's calculate GCF of 7888,2954
| 2 | 7888, 2954 |
| 3944, 1477 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7888,2954 By Matching Biggest Common Factor Method
Now, list down the factors of 7888
:1,2,4,8,16,17,29,34,58,68,116,136,232,272,464,493,986,1972,3944,7888
Now, list down the factors of 2954
:1,2,7,14,211,422,1477,2954
Greatest Common Factor
We found the factors 7888,2954 . The biggest common factor number is the GCF number.
So the greatest common factor 7888,2954 is 2.
Lets's calculate LCM of 401,1243
Given numbers has no common factors except 1. So, there LCM is their product i.e 498443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/498443
Therefore, the GCF of Fractions 7888/401,2954/1243 is 2/498443
Least Common Multiple of 401,1243 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 401,1243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,1243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,1243) x common factors =1 x 1 = 1
LCM(401,1243) = ( 401 × 1243 ) / 1
LCM(401,1243) = 498443 / 1
LCM(401,1243) = 498443
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7888/401, 2954/1243
1. What is the HCF of 7888,2954?
The HCF of 7888,2954 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 7888/401, 2954/1243?
Answer: GCF of Numerators as per given numbers 7888/401, 2954/1243 is
GCF of Numerators i.e. for 7888,2954 is 2
LCM of denominators i.e. for 401,1243 is 498443.
Thus, GCF of Fractions is 2/498443.Finally, GCF of Fractions for 7888/401, 2954/1243 is 2/498443.