GCF of 2808/171, 7020/617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2808/171, 7020/617 i.e 1404/105507 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2808/171, 7020/617.
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 2808/171,7020/617?
Given fractions are 2808/171,7020/617
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 2808/171,7020/617, numerators are 2808,7020
Denominators are 171,617
The GCF of 2808,7020 is 1404 .
LCM of 171,617 is 105507.
The greatest common factor of 2808/171,7020/617 = [GCF of 2808,7020]/[LCM of 171,617]= 1404/105507
Therefore, the GCF of 2808/171,7020/617 is 1404/105507.
To find the highest common factor of 2808,7020, we have to find the factors of both numbers and list the highest common factor.
The factors of 2808 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808
The factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020
The HCF of 2808,7020 is 1404.
Lets's calculate GCF of 2808,7020
| 2 | 2808, 7020 |
| 2 | 1404, 3510 |
| 3 | 702, 1755 |
| 3 | 234, 585 |
| 3 | 78, 195 |
| 13 | 26, 65 |
| 2, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 x 13 = 1404
Greatest Common Factor of 2808,7020 By Matching Biggest Common Factor Method
Now, list down the factors of 2808
:1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808
Now, list down the factors of 7020
:1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020
Greatest Common Factor
We found the factors 2808,7020 . The biggest common factor number is the GCF number.
So the greatest common factor 2808,7020 is 1404.
Lets's calculate LCM of 171,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 105507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1404/105507
Therefore, the GCF of Fractions 2808/171,7020/617 is 1404/105507
Least Common Multiple of 171,617 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 171,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,617) x common factors =1 x 1 = 1
LCM(171,617) = ( 171 × 617 ) / 1
LCM(171,617) = 105507 / 1
LCM(171,617) = 105507
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2808/171, 7020/617
1. What is the HCF of 2808,7020?
The HCF of 2808,7020 is 1404
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 2808/171, 7020/617?
Answer: GCF of Numerators as per given numbers 2808/171, 7020/617 is
GCF of Numerators i.e. for 2808,7020 is 1404
LCM of denominators i.e. for 171,617 is 105507.
Thus, GCF of Fractions is 1404/105507.Finally, GCF of Fractions for 2808/171, 7020/617 is 1404/105507.