GCF of 5604/222, 2103/2052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5604/222, 2103/2052 i.e 3/75924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5604/222, 2103/2052.
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 5604/222,2103/2052?
Given fractions are 5604/222,2103/2052
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 5604/222,2103/2052, numerators are 5604,2103
Denominators are 222,2052
The GCF of 5604,2103 is 3 .
LCM of 222,2052 is 75924.
The greatest common factor of 5604/222,2103/2052 = [GCF of 5604,2103]/[LCM of 222,2052]= 3/75924
Therefore, the GCF of 5604/222,2103/2052 is 3/75924.
To find the highest common factor of 5604,2103, we have to find the factors of both numbers and list the highest common factor.
The factors of 5604 are 1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604
The factors of 2103 are 1, 3, 701, 2103
The HCF of 5604,2103 is 3.
Lets's calculate GCF of 5604,2103
| 3 | 5604, 2103 |
| 1868, 701 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5604,2103 By Matching Biggest Common Factor Method
Now, list down the factors of 5604
:1,2,3,4,6,12,467,934,1401,1868,2802,5604
Now, list down the factors of 2103
:1,3,701,2103
Greatest Common Factor
We found the factors 5604,2103 . The biggest common factor number is the GCF number.
So the greatest common factor 5604,2103 is 3.
Lets's calculate LCM of 222,2052
| 2 | 222, 2052 |
| 3 | 111, 1026 |
| 37, 342 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 342 = 75924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75924
Therefore, the GCF of Fractions 5604/222,2103/2052 is 3/75924
Least Common Multiple of 222,2052 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 222,2052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,2052) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(222,2052) x common factors =6 x 1 = 6
LCM(222,2052) = ( 222 × 2052 ) / 6
LCM(222,2052) = 455544 / 6
LCM(222,2052) = 75924
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5604/222, 2103/2052
1. What is the HCF of 5604,2103?
The HCF of 5604,2103 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 5604/222, 2103/2052?
Answer: GCF of Numerators as per given numbers 5604/222, 2103/2052 is
GCF of Numerators i.e. for 5604,2103 is 3
LCM of denominators i.e. for 222,2052 is 75924.
Thus, GCF of Fractions is 3/75924.Finally, GCF of Fractions for 5604/222, 2103/2052 is 3/75924.