GCF of 2540/72, 8510/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2540/72, 8510/209 i.e 10/15048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2540/72, 8510/209.
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 2540/72,8510/209?
Given fractions are 2540/72,8510/209
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 2540/72,8510/209, numerators are 2540,8510
Denominators are 72,209
The GCF of 2540,8510 is 10 .
LCM of 72,209 is 15048.
The greatest common factor of 2540/72,8510/209 = [GCF of 2540,8510]/[LCM of 72,209]= 10/15048
Therefore, the GCF of 2540/72,8510/209 is 10/15048.
To find the highest common factor of 2540,8510, we have to find the factors of both numbers and list the highest common factor.
The factors of 2540 are 1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540
The factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510
The HCF of 2540,8510 is 10.
Lets's calculate GCF of 2540,8510
| 2 | 2540, 8510 |
| 5 | 1270, 4255 |
| 254, 851 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2540,8510 By Matching Biggest Common Factor Method
Now, list down the factors of 2540
:1,2,4,5,10,20,127,254,508,635,1270,2540
Now, list down the factors of 8510
:1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510
Greatest Common Factor
We found the factors 2540,8510 . The biggest common factor number is the GCF number.
So the greatest common factor 2540,8510 is 10.
Lets's calculate LCM of 72,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 15048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/15048
Therefore, the GCF of Fractions 2540/72,8510/209 is 10/15048
Least Common Multiple of 72,209 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 72,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,209) x common factors =1 x 1 = 1
LCM(72,209) = ( 72 × 209 ) / 1
LCM(72,209) = 15048 / 1
LCM(72,209) = 15048
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FAQs on GCF of Fractions of 2540/72, 8510/209
1. What is the HCF of 2540,8510?
The HCF of 2540,8510 is 10
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 2540/72, 8510/209?
Answer: GCF of Numerators as per given numbers 2540/72, 8510/209 is
GCF of Numerators i.e. for 2540,8510 is 10
LCM of denominators i.e. for 72,209 is 15048.
Thus, GCF of Fractions is 10/15048.Finally, GCF of Fractions for 2540/72, 8510/209 is 10/15048.