GCF of 5208/613, 2247/1880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5208/613, 2247/1880 i.e 21/1152440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5208/613, 2247/1880.
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 5208/613,2247/1880?
Given fractions are 5208/613,2247/1880
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 5208/613,2247/1880, numerators are 5208,2247
Denominators are 613,1880
The GCF of 5208,2247 is 21 .
LCM of 613,1880 is 1152440.
The greatest common factor of 5208/613,2247/1880 = [GCF of 5208,2247]/[LCM of 613,1880]= 21/1152440
Therefore, the GCF of 5208/613,2247/1880 is 21/1152440.
To find the highest common factor of 5208,2247, we have to find the factors of both numbers and list the highest common factor.
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 factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247
The HCF of 5208,2247 is 21.
Lets's calculate GCF of 5208,2247
| 3 | 5208, 2247 |
| 7 | 1736, 749 |
| 248, 107 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 5208,2247 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2247
:1,3,7,21,107,321,749,2247
Greatest Common Factor
We found the factors 5208,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 5208,2247 is 21.
Lets's calculate LCM of 613,1880
Given numbers has no common factors except 1. So, there LCM is their product i.e 1152440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1152440
Therefore, the GCF of Fractions 5208/613,2247/1880 is 21/1152440
Least Common Multiple of 613,1880 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 613,1880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,1880) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,1880) x common factors =1 x 1 = 1
LCM(613,1880) = ( 613 × 1880 ) / 1
LCM(613,1880) = 1152440 / 1
LCM(613,1880) = 1152440
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FAQs on GCF of Fractions of 5208/613, 2247/1880
1. What is the HCF of 5208,2247?
The HCF of 5208,2247 is 21
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 5208/613, 2247/1880?
Answer: GCF of Numerators as per given numbers 5208/613, 2247/1880 is
GCF of Numerators i.e. for 5208,2247 is 21
LCM of denominators i.e. for 613,1880 is 1152440.
Thus, GCF of Fractions is 21/1152440.Finally, GCF of Fractions for 5208/613, 2247/1880 is 21/1152440.