GCF of 4688/228, 7553/3474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4688/228, 7553/3474 i.e 1/132012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4688/228, 7553/3474.
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 4688/228,7553/3474?
Given fractions are 4688/228,7553/3474
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 4688/228,7553/3474, numerators are 4688,7553
Denominators are 228,3474
The GCF of 4688,7553 is 1 .
LCM of 228,3474 is 132012.
The greatest common factor of 4688/228,7553/3474 = [GCF of 4688,7553]/[LCM of 228,3474]= 1/132012
Therefore, the GCF of 4688/228,7553/3474 is 1/132012.
To find the highest common factor of 4688,7553, we have to find the factors of both numbers and list the highest common factor.
The factors of 4688 are 1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688
The factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553
The HCF of 4688,7553 is 1.
Lets's calculate GCF of 4688,7553
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4688,7553 By Matching Biggest Common Factor Method
Now, list down the factors of 4688
:1,2,4,8,16,293,586,1172,2344,4688
Now, list down the factors of 7553
:1,7,13,83,91,581,1079,7553
Greatest Common Factor
We found the factors 4688,7553 . The biggest common factor number is the GCF number.
So the greatest common factor 4688,7553 is 1.
Lets's calculate LCM of 228,3474
| 2 | 228, 3474 |
| 3 | 114, 1737 |
| 38, 579 |
∴ So the LCM of the given numbers is 2 x 3 x 38 x 579 = 132012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132012
Therefore, the GCF of Fractions 4688/228,7553/3474 is 1/132012
Least Common Multiple of 228,3474 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 228,3474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,3474) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(228,3474) x common factors =6 x 1 = 6
LCM(228,3474) = ( 228 × 3474 ) / 6
LCM(228,3474) = 792072 / 6
LCM(228,3474) = 132012
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4688/228, 7553/3474
1. What is the HCF of 4688,7553?
The HCF of 4688,7553 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 4688/228, 7553/3474?
Answer: GCF of Numerators as per given numbers 4688/228, 7553/3474 is
GCF of Numerators i.e. for 4688,7553 is 1
LCM of denominators i.e. for 228,3474 is 132012.
Thus, GCF of Fractions is 1/132012.Finally, GCF of Fractions for 4688/228, 7553/3474 is 1/132012.