GCF of 4584/995, 9108/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4584/995, 9108/972 i.e 12/967140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4584/995, 9108/972.
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 4584/995,9108/972?
Given fractions are 4584/995,9108/972
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 4584/995,9108/972, numerators are 4584,9108
Denominators are 995,972
The GCF of 4584,9108 is 12 .
LCM of 995,972 is 967140.
The greatest common factor of 4584/995,9108/972 = [GCF of 4584,9108]/[LCM of 995,972]= 12/967140
Therefore, the GCF of 4584/995,9108/972 is 12/967140.
To find the highest common factor of 4584,9108, we have to find the factors of both numbers and list the highest common factor.
The factors of 4584 are 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584
The factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108
The HCF of 4584,9108 is 12.
Lets's calculate GCF of 4584,9108
| 2 | 4584, 9108 |
| 2 | 2292, 4554 |
| 3 | 1146, 2277 |
| 382, 759 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4584,9108 By Matching Biggest Common Factor Method
Now, list down the factors of 4584
:1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584
Now, list down the factors of 9108
:1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108
Greatest Common Factor
We found the factors 4584,9108 . The biggest common factor number is the GCF number.
So the greatest common factor 4584,9108 is 12.
Lets's calculate LCM of 995,972
Given numbers has no common factors except 1. So, there LCM is their product i.e 967140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/967140
Therefore, the GCF of Fractions 4584/995,9108/972 is 12/967140
Least Common Multiple of 995,972 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 995,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,972) x common factors =1 x 1 = 1
LCM(995,972) = ( 995 × 972 ) / 1
LCM(995,972) = 967140 / 1
LCM(995,972) = 967140
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FAQs on GCF of Fractions of 4584/995, 9108/972
1. What is the HCF of 4584,9108?
The HCF of 4584,9108 is 12
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 4584/995, 9108/972?
Answer: GCF of Numerators as per given numbers 4584/995, 9108/972 is
GCF of Numerators i.e. for 4584,9108 is 12
LCM of denominators i.e. for 995,972 is 967140.
Thus, GCF of Fractions is 12/967140.Finally, GCF of Fractions for 4584/995, 9108/972 is 12/967140.