GCF of 8519/848, 8120/2109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8519/848, 8120/2109 i.e 7/1788432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8519/848, 8120/2109.
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 8519/848,8120/2109?
Given fractions are 8519/848,8120/2109
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 8519/848,8120/2109, numerators are 8519,8120
Denominators are 848,2109
The GCF of 8519,8120 is 7 .
LCM of 848,2109 is 1788432.
The greatest common factor of 8519/848,8120/2109 = [GCF of 8519,8120]/[LCM of 848,2109]= 7/1788432
Therefore, the GCF of 8519/848,8120/2109 is 7/1788432.
To find the highest common factor of 8519,8120, we have to find the factors of both numbers and list the highest common factor.
The factors of 8519 are 1, 7, 1217, 8519
The factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120
The HCF of 8519,8120 is 7.
Lets's calculate GCF of 8519,8120
| 7 | 8519, 8120 |
| 1217, 1160 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8519,8120 By Matching Biggest Common Factor Method
Now, list down the factors of 8519
:1,7,1217,8519
Now, list down the factors of 8120
:1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120
Greatest Common Factor
We found the factors 8519,8120 . The biggest common factor number is the GCF number.
So the greatest common factor 8519,8120 is 7.
Lets's calculate LCM of 848,2109
Given numbers has no common factors except 1. So, there LCM is their product i.e 1788432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1788432
Therefore, the GCF of Fractions 8519/848,8120/2109 is 7/1788432
Least Common Multiple of 848,2109 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 848,2109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,2109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(848,2109) x common factors =1 x 1 = 1
LCM(848,2109) = ( 848 × 2109 ) / 1
LCM(848,2109) = 1788432 / 1
LCM(848,2109) = 1788432
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FAQs on GCF of Fractions of 8519/848, 8120/2109
1. What is the HCF of 8519,8120?
The HCF of 8519,8120 is 7
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 8519/848, 8120/2109?
Answer: GCF of Numerators as per given numbers 8519/848, 8120/2109 is
GCF of Numerators i.e. for 8519,8120 is 7
LCM of denominators i.e. for 848,2109 is 1788432.
Thus, GCF of Fractions is 7/1788432.Finally, GCF of Fractions for 8519/848, 8120/2109 is 7/1788432.