GCF of 5152/957, 8372/3208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5152/957, 8372/3208 i.e 644/3070056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5152/957, 8372/3208.
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 5152/957,8372/3208?
Given fractions are 5152/957,8372/3208
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 5152/957,8372/3208, numerators are 5152,8372
Denominators are 957,3208
The GCF of 5152,8372 is 644 .
LCM of 957,3208 is 3070056.
The greatest common factor of 5152/957,8372/3208 = [GCF of 5152,8372]/[LCM of 957,3208]= 644/3070056
Therefore, the GCF of 5152/957,8372/3208 is 644/3070056.
To find the highest common factor of 5152,8372, we have to find the factors of both numbers and list the highest common factor.
The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
The factors of 8372 are 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372
The HCF of 5152,8372 is 644.
Lets's calculate GCF of 5152,8372
| 2 | 5152, 8372 |
| 2 | 2576, 4186 |
| 7 | 1288, 2093 |
| 23 | 184, 299 |
| 8, 13 |
∴ So the GCF of the given numbers is 2 x 2 x 7 x 23 = 644
Greatest Common Factor of 5152,8372 By Matching Biggest Common Factor Method
Now, list down the factors of 5152
:1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Now, list down the factors of 8372
:1,2,4,7,13,14,23,26,28,46,52,91,92,161,182,299,322,364,598,644,1196,2093,4186,8372
Greatest Common Factor
We found the factors 5152,8372 . The biggest common factor number is the GCF number.
So the greatest common factor 5152,8372 is 644.
Lets's calculate LCM of 957,3208
Given numbers has no common factors except 1. So, there LCM is their product i.e 3070056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 644/3070056
Therefore, the GCF of Fractions 5152/957,8372/3208 is 644/3070056
Least Common Multiple of 957,3208 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 957,3208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,3208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(957,3208) x common factors =1 x 1 = 1
LCM(957,3208) = ( 957 × 3208 ) / 1
LCM(957,3208) = 3070056 / 1
LCM(957,3208) = 3070056
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FAQs on GCF of Fractions of 5152/957, 8372/3208
1. What is the HCF of 5152,8372?
The HCF of 5152,8372 is 644
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 5152/957, 8372/3208?
Answer: GCF of Numerators as per given numbers 5152/957, 8372/3208 is
GCF of Numerators i.e. for 5152,8372 is 644
LCM of denominators i.e. for 957,3208 is 3070056.
Thus, GCF of Fractions is 644/3070056.Finally, GCF of Fractions for 5152/957, 8372/3208 is 644/3070056.