GCF of 3183/289, 5208/5690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3183/289, 5208/5690 i.e 3/1644410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3183/289, 5208/5690.
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 3183/289,5208/5690?
Given fractions are 3183/289,5208/5690
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 3183/289,5208/5690, numerators are 3183,5208
Denominators are 289,5690
The GCF of 3183,5208 is 3 .
LCM of 289,5690 is 1644410.
The greatest common factor of 3183/289,5208/5690 = [GCF of 3183,5208]/[LCM of 289,5690]= 3/1644410
Therefore, the GCF of 3183/289,5208/5690 is 3/1644410.
To find the highest common factor of 3183,5208, we have to find the factors of both numbers and list the highest common factor.
The factors of 3183 are 1, 3, 1061, 3183
The factors of 5208 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208
The HCF of 3183,5208 is 3.
Lets's calculate GCF of 3183,5208
| 3 | 3183, 5208 |
| 1061, 1736 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3183,5208 By Matching Biggest Common Factor Method
Now, list down the factors of 3183
:1,3,1061,3183
Now, list down the factors of 5208
:1,2,3,4,6,7,8,12,14,21,24,28,31,42,56,62,84,93,124,168,186,217,248,372,434,651,744,868,1302,1736,2604,5208
Greatest Common Factor
We found the factors 3183,5208 . The biggest common factor number is the GCF number.
So the greatest common factor 3183,5208 is 3.
Lets's calculate LCM of 289,5690
Given numbers has no common factors except 1. So, there LCM is their product i.e 1644410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1644410
Therefore, the GCF of Fractions 3183/289,5208/5690 is 3/1644410
Least Common Multiple of 289,5690 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 289,5690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,5690) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,5690) x common factors =1 x 1 = 1
LCM(289,5690) = ( 289 × 5690 ) / 1
LCM(289,5690) = 1644410 / 1
LCM(289,5690) = 1644410
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FAQs on GCF of Fractions of 3183/289, 5208/5690
1. What is the HCF of 3183,5208?
The HCF of 3183,5208 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 3183/289, 5208/5690?
Answer: GCF of Numerators as per given numbers 3183/289, 5208/5690 is
GCF of Numerators i.e. for 3183,5208 is 3
LCM of denominators i.e. for 289,5690 is 1644410.
Thus, GCF of Fractions is 3/1644410.Finally, GCF of Fractions for 3183/289, 5208/5690 is 3/1644410.