GCF of 2100/165, 8513/5269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2100/165, 8513/5269 i.e 1/79035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2100/165, 8513/5269.
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 2100/165,8513/5269?
Given fractions are 2100/165,8513/5269
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 2100/165,8513/5269, numerators are 2100,8513
Denominators are 165,5269
The GCF of 2100,8513 is 1 .
LCM of 165,5269 is 79035.
The greatest common factor of 2100/165,8513/5269 = [GCF of 2100,8513]/[LCM of 165,5269]= 1/79035
Therefore, the GCF of 2100/165,8513/5269 is 1/79035.
To find the highest common factor of 2100,8513, we have to find the factors of both numbers and list the highest common factor.
The factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100
The factors of 8513 are 1, 8513
The HCF of 2100,8513 is 1.
Lets's calculate GCF of 2100,8513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2100,8513 By Matching Biggest Common Factor Method
Now, list down the factors of 2100
:1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100
Now, list down the factors of 8513
:1,8513
Greatest Common Factor
We found the factors 2100,8513 . The biggest common factor number is the GCF number.
So the greatest common factor 2100,8513 is 1.
Lets's calculate LCM of 165,5269
| 11 | 165, 5269 |
| 15, 479 |
∴ So the LCM of the given numbers is 11 x 15 x 479 = 79035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79035
Therefore, the GCF of Fractions 2100/165,8513/5269 is 1/79035
Least Common Multiple of 165,5269 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 165,5269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,5269) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(165,5269) x common factors =11 x 1 = 11
LCM(165,5269) = ( 165 × 5269 ) / 11
LCM(165,5269) = 869385 / 11
LCM(165,5269) = 79035
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FAQs on GCF of Fractions of 2100/165, 8513/5269
1. What is the HCF of 2100,8513?
The HCF of 2100,8513 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 2100/165, 8513/5269?
Answer: GCF of Numerators as per given numbers 2100/165, 8513/5269 is
GCF of Numerators i.e. for 2100,8513 is 1
LCM of denominators i.e. for 165,5269 is 79035.
Thus, GCF of Fractions is 1/79035.Finally, GCF of Fractions for 2100/165, 8513/5269 is 1/79035.