GCF of 8812/455, 7584/3613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8812/455, 7584/3613 i.e 4/1643915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8812/455, 7584/3613.
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 8812/455,7584/3613?
Given fractions are 8812/455,7584/3613
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 8812/455,7584/3613, numerators are 8812,7584
Denominators are 455,3613
The GCF of 8812,7584 is 4 .
LCM of 455,3613 is 1643915.
The greatest common factor of 8812/455,7584/3613 = [GCF of 8812,7584]/[LCM of 455,3613]= 4/1643915
Therefore, the GCF of 8812/455,7584/3613 is 4/1643915.
To find the highest common factor of 8812,7584, we have to find the factors of both numbers and list the highest common factor.
The factors of 8812 are 1, 2, 4, 2203, 4406, 8812
The factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584
The HCF of 8812,7584 is 4.
Lets's calculate GCF of 8812,7584
| 2 | 8812, 7584 |
| 2 | 4406, 3792 |
| 2203, 1896 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8812,7584 By Matching Biggest Common Factor Method
Now, list down the factors of 8812
:1,2,4,2203,4406,8812
Now, list down the factors of 7584
:1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584
Greatest Common Factor
We found the factors 8812,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 8812,7584 is 4.
Lets's calculate LCM of 455,3613
Given numbers has no common factors except 1. So, there LCM is their product i.e 1643915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1643915
Therefore, the GCF of Fractions 8812/455,7584/3613 is 4/1643915
Least Common Multiple of 455,3613 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 455,3613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,3613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,3613) x common factors =1 x 1 = 1
LCM(455,3613) = ( 455 × 3613 ) / 1
LCM(455,3613) = 1643915 / 1
LCM(455,3613) = 1643915
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FAQs on GCF of Fractions of 8812/455, 7584/3613
1. What is the HCF of 8812,7584?
The HCF of 8812,7584 is 4
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 8812/455, 7584/3613?
Answer: GCF of Numerators as per given numbers 8812/455, 7584/3613 is
GCF of Numerators i.e. for 8812,7584 is 4
LCM of denominators i.e. for 455,3613 is 1643915.
Thus, GCF of Fractions is 4/1643915.Finally, GCF of Fractions for 8812/455, 7584/3613 is 4/1643915.