GCF of 5904/152, 7677/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5904/152, 7677/574 i.e 9/43624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5904/152, 7677/574.
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 5904/152,7677/574?
Given fractions are 5904/152,7677/574
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 5904/152,7677/574, numerators are 5904,7677
Denominators are 152,574
The GCF of 5904,7677 is 9 .
LCM of 152,574 is 43624.
The greatest common factor of 5904/152,7677/574 = [GCF of 5904,7677]/[LCM of 152,574]= 9/43624
Therefore, the GCF of 5904/152,7677/574 is 9/43624.
To find the highest common factor of 5904,7677, we have to find the factors of both numbers and list the highest common factor.
The factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904
The factors of 7677 are 1, 3, 9, 853, 2559, 7677
The HCF of 5904,7677 is 9.
Lets's calculate GCF of 5904,7677
| 3 | 5904, 7677 |
| 3 | 1968, 2559 |
| 656, 853 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5904,7677 By Matching Biggest Common Factor Method
Now, list down the factors of 5904
:1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904
Now, list down the factors of 7677
:1,3,9,853,2559,7677
Greatest Common Factor
We found the factors 5904,7677 . The biggest common factor number is the GCF number.
So the greatest common factor 5904,7677 is 9.
Lets's calculate LCM of 152,574
| 2 | 152, 574 |
| 76, 287 |
∴ So the LCM of the given numbers is 2 x 76 x 287 = 43624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/43624
Therefore, the GCF of Fractions 5904/152,7677/574 is 9/43624
Least Common Multiple of 152,574 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 152,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(152,574) x common factors =2 x 1 = 2
LCM(152,574) = ( 152 × 574 ) / 2
LCM(152,574) = 87248 / 2
LCM(152,574) = 43624
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FAQs on GCF of Fractions of 5904/152, 7677/574
1. What is the HCF of 5904,7677?
The HCF of 5904,7677 is 9
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 5904/152, 7677/574?
Answer: GCF of Numerators as per given numbers 5904/152, 7677/574 is
GCF of Numerators i.e. for 5904,7677 is 9
LCM of denominators i.e. for 152,574 is 43624.
Thus, GCF of Fractions is 9/43624.Finally, GCF of Fractions for 5904/152, 7677/574 is 9/43624.