GCF of 3119/507, 7000/2808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3119/507, 7000/2808 i.e 1/36504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3119/507, 7000/2808.
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 3119/507,7000/2808?
Given fractions are 3119/507,7000/2808
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 3119/507,7000/2808, numerators are 3119,7000
Denominators are 507,2808
The GCF of 3119,7000 is 1 .
LCM of 507,2808 is 36504.
The greatest common factor of 3119/507,7000/2808 = [GCF of 3119,7000]/[LCM of 507,2808]= 1/36504
Therefore, the GCF of 3119/507,7000/2808 is 1/36504.
To find the highest common factor of 3119,7000, we have to find the factors of both numbers and list the highest common factor.
The factors of 3119 are 1, 3119
The factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000
The HCF of 3119,7000 is 1.
Lets's calculate GCF of 3119,7000
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3119,7000 By Matching Biggest Common Factor Method
Now, list down the factors of 3119
:1,3119
Now, list down the factors of 7000
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Greatest Common Factor
We found the factors 3119,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 3119,7000 is 1.
Lets's calculate LCM of 507,2808
| 3 | 507, 2808 |
| 13 | 169, 936 |
| 13, 72 |
∴ So the LCM of the given numbers is 3 x 13 x 13 x 72 = 36504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36504
Therefore, the GCF of Fractions 3119/507,7000/2808 is 1/36504
Least Common Multiple of 507,2808 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 507,2808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,2808) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(507,2808) x common factors =39 x 1 = 39
LCM(507,2808) = ( 507 × 2808 ) / 39
LCM(507,2808) = 1423656 / 39
LCM(507,2808) = 36504
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FAQs on GCF of Fractions of 3119/507, 7000/2808
1. What is the HCF of 3119,7000?
The HCF of 3119,7000 is 1
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 3119/507, 7000/2808?
Answer: GCF of Numerators as per given numbers 3119/507, 7000/2808 is
GCF of Numerators i.e. for 3119,7000 is 1
LCM of denominators i.e. for 507,2808 is 36504.
Thus, GCF of Fractions is 1/36504.Finally, GCF of Fractions for 3119/507, 7000/2808 is 1/36504.