GCF of 8619/484, 4992/587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8619/484, 4992/587 i.e 39/284108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8619/484, 4992/587.
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 8619/484,4992/587?
Given fractions are 8619/484,4992/587
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 8619/484,4992/587, numerators are 8619,4992
Denominators are 484,587
The GCF of 8619,4992 is 39 .
LCM of 484,587 is 284108.
The greatest common factor of 8619/484,4992/587 = [GCF of 8619,4992]/[LCM of 484,587]= 39/284108
Therefore, the GCF of 8619/484,4992/587 is 39/284108.
To find the highest common factor of 8619,4992, we have to find the factors of both numbers and list the highest common factor.
The factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619
The factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992
The HCF of 8619,4992 is 39.
Lets's calculate GCF of 8619,4992
| 3 | 8619, 4992 |
| 13 | 2873, 1664 |
| 221, 128 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 8619,4992 By Matching Biggest Common Factor Method
Now, list down the factors of 8619
:1,3,13,17,39,51,169,221,507,663,2873,8619
Now, list down the factors of 4992
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992
Greatest Common Factor
We found the factors 8619,4992 . The biggest common factor number is the GCF number.
So the greatest common factor 8619,4992 is 39.
Lets's calculate LCM of 484,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 284108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/284108
Therefore, the GCF of Fractions 8619/484,4992/587 is 39/284108
Least Common Multiple of 484,587 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 484,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(484,587) x common factors =1 x 1 = 1
LCM(484,587) = ( 484 × 587 ) / 1
LCM(484,587) = 284108 / 1
LCM(484,587) = 284108
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FAQs on GCF of Fractions of 8619/484, 4992/587
1. What is the HCF of 8619,4992?
The HCF of 8619,4992 is 39
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 8619/484, 4992/587?
Answer: GCF of Numerators as per given numbers 8619/484, 4992/587 is
GCF of Numerators i.e. for 8619,4992 is 39
LCM of denominators i.e. for 484,587 is 284108.
Thus, GCF of Fractions is 39/284108.Finally, GCF of Fractions for 8619/484, 4992/587 is 39/284108.