GCF of 7504/452, 8372/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7504/452, 8372/724 i.e 28/81812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7504/452, 8372/724.
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 7504/452,8372/724?
Given fractions are 7504/452,8372/724
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 7504/452,8372/724, numerators are 7504,8372
Denominators are 452,724
The GCF of 7504,8372 is 28 .
LCM of 452,724 is 81812.
The greatest common factor of 7504/452,8372/724 = [GCF of 7504,8372]/[LCM of 452,724]= 28/81812
Therefore, the GCF of 7504/452,8372/724 is 28/81812.
To find the highest common factor of 7504,8372, we have to find the factors of both numbers and list the highest common factor.
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504
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 7504,8372 is 28.
Lets's calculate GCF of 7504,8372
| 2 | 7504, 8372 |
| 2 | 3752, 4186 |
| 7 | 1876, 2093 |
| 268, 299 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 7504,8372 By Matching Biggest Common Factor Method
Now, list down the factors of 7504
:1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
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 7504,8372 . The biggest common factor number is the GCF number.
So the greatest common factor 7504,8372 is 28.
Lets's calculate LCM of 452,724
| 2 | 452, 724 |
| 2 | 226, 362 |
| 113, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 113 x 181 = 81812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/81812
Therefore, the GCF of Fractions 7504/452,8372/724 is 28/81812
Least Common Multiple of 452,724 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 452,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(452,724) x common factors =4 x 1 = 4
LCM(452,724) = ( 452 × 724 ) / 4
LCM(452,724) = 327248 / 4
LCM(452,724) = 81812
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FAQs on GCF of Fractions of 7504/452, 8372/724
1. What is the HCF of 7504,8372?
The HCF of 7504,8372 is 28
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 7504/452, 8372/724?
Answer: GCF of Numerators as per given numbers 7504/452, 8372/724 is
GCF of Numerators i.e. for 7504,8372 is 28
LCM of denominators i.e. for 452,724 is 81812.
Thus, GCF of Fractions is 28/81812.Finally, GCF of Fractions for 7504/452, 8372/724 is 28/81812.