GCF of 4592/140, 8904/7908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4592/140, 8904/7908 i.e 56/276780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4592/140, 8904/7908.
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 4592/140,8904/7908?
Given fractions are 4592/140,8904/7908
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 4592/140,8904/7908, numerators are 4592,8904
Denominators are 140,7908
The GCF of 4592,8904 is 56 .
LCM of 140,7908 is 276780.
The greatest common factor of 4592/140,8904/7908 = [GCF of 4592,8904]/[LCM of 140,7908]= 56/276780
Therefore, the GCF of 4592/140,8904/7908 is 56/276780.
To find the highest common factor of 4592,8904, we have to find the factors of both numbers and list the highest common factor.
The factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592
The factors of 8904 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904
The HCF of 4592,8904 is 56.
Lets's calculate GCF of 4592,8904
| 2 | 4592, 8904 |
| 2 | 2296, 4452 |
| 2 | 1148, 2226 |
| 7 | 574, 1113 |
| 82, 159 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 4592,8904 By Matching Biggest Common Factor Method
Now, list down the factors of 4592
:1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592
Now, list down the factors of 8904
:1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904
Greatest Common Factor
We found the factors 4592,8904 . The biggest common factor number is the GCF number.
So the greatest common factor 4592,8904 is 56.
Lets's calculate LCM of 140,7908
| 2 | 140, 7908 |
| 2 | 70, 3954 |
| 35, 1977 |
∴ So the LCM of the given numbers is 2 x 2 x 35 x 1977 = 276780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/276780
Therefore, the GCF of Fractions 4592/140,8904/7908 is 56/276780
Least Common Multiple of 140,7908 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 140,7908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,7908) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(140,7908) x common factors =4 x 1 = 4
LCM(140,7908) = ( 140 × 7908 ) / 4
LCM(140,7908) = 1107120 / 4
LCM(140,7908) = 276780
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4592/140, 8904/7908
1. What is the HCF of 4592,8904?
The HCF of 4592,8904 is 56
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 4592/140, 8904/7908?
Answer: GCF of Numerators as per given numbers 4592/140, 8904/7908 is
GCF of Numerators i.e. for 4592,8904 is 56
LCM of denominators i.e. for 140,7908 is 276780.
Thus, GCF of Fractions is 56/276780.Finally, GCF of Fractions for 4592/140, 8904/7908 is 56/276780.