GCF of 2520/130, 2316/7255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2520/130, 2316/7255 i.e 12/188630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2520/130, 2316/7255.
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 2520/130,2316/7255?
Given fractions are 2520/130,2316/7255
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 2520/130,2316/7255, numerators are 2520,2316
Denominators are 130,7255
The GCF of 2520,2316 is 12 .
LCM of 130,7255 is 188630.
The greatest common factor of 2520/130,2316/7255 = [GCF of 2520,2316]/[LCM of 130,7255]= 12/188630
Therefore, the GCF of 2520/130,2316/7255 is 12/188630.
To find the highest common factor of 2520,2316, we have to find the factors of both numbers and list the highest common factor.
The factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
The factors of 2316 are 1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316
The HCF of 2520,2316 is 12.
Lets's calculate GCF of 2520,2316
| 2 | 2520, 2316 |
| 2 | 1260, 1158 |
| 3 | 630, 579 |
| 210, 193 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2520,2316 By Matching Biggest Common Factor Method
Now, list down the factors of 2520
:1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Now, list down the factors of 2316
:1,2,3,4,6,12,193,386,579,772,1158,2316
Greatest Common Factor
We found the factors 2520,2316 . The biggest common factor number is the GCF number.
So the greatest common factor 2520,2316 is 12.
Lets's calculate LCM of 130,7255
| 5 | 130, 7255 |
| 26, 1451 |
∴ So the LCM of the given numbers is 5 x 26 x 1451 = 188630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/188630
Therefore, the GCF of Fractions 2520/130,2316/7255 is 12/188630
Least Common Multiple of 130,7255 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 130,7255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,7255) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(130,7255) x common factors =5 x 1 = 5
LCM(130,7255) = ( 130 × 7255 ) / 5
LCM(130,7255) = 943150 / 5
LCM(130,7255) = 188630
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2520/130, 2316/7255
1. What is the HCF of 2520,2316?
The HCF of 2520,2316 is 12
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 2520/130, 2316/7255?
Answer: GCF of Numerators as per given numbers 2520/130, 2316/7255 is
GCF of Numerators i.e. for 2520,2316 is 12
LCM of denominators i.e. for 130,7255 is 188630.
Thus, GCF of Fractions is 12/188630.Finally, GCF of Fractions for 2520/130, 2316/7255 is 12/188630.