GCF of 2660/715, 5254/5290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2660/715, 5254/5290 i.e 2/756470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2660/715, 5254/5290.
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 2660/715,5254/5290?
Given fractions are 2660/715,5254/5290
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 2660/715,5254/5290, numerators are 2660,5254
Denominators are 715,5290
The GCF of 2660,5254 is 2 .
LCM of 715,5290 is 756470.
The greatest common factor of 2660/715,5254/5290 = [GCF of 2660,5254]/[LCM of 715,5290]= 2/756470
Therefore, the GCF of 2660/715,5254/5290 is 2/756470.
To find the highest common factor of 2660,5254, we have to find the factors of both numbers and list the highest common factor.
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254
The HCF of 2660,5254 is 2.
Lets's calculate GCF of 2660,5254
| 2 | 2660, 5254 |
| 1330, 2627 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2660,5254 By Matching Biggest Common Factor Method
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Now, list down the factors of 5254
:1,2,37,71,74,142,2627,5254
Greatest Common Factor
We found the factors 2660,5254 . The biggest common factor number is the GCF number.
So the greatest common factor 2660,5254 is 2.
Lets's calculate LCM of 715,5290
| 5 | 715, 5290 |
| 143, 1058 |
∴ So the LCM of the given numbers is 5 x 143 x 1058 = 756470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/756470
Therefore, the GCF of Fractions 2660/715,5254/5290 is 2/756470
Least Common Multiple of 715,5290 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 715,5290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,5290) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,5290) x common factors =5 x 1 = 5
LCM(715,5290) = ( 715 × 5290 ) / 5
LCM(715,5290) = 3782350 / 5
LCM(715,5290) = 756470
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FAQs on GCF of Fractions of 2660/715, 5254/5290
1. What is the HCF of 2660,5254?
The HCF of 2660,5254 is 2
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 2660/715, 5254/5290?
Answer: GCF of Numerators as per given numbers 2660/715, 5254/5290 is
GCF of Numerators i.e. for 2660,5254 is 2
LCM of denominators i.e. for 715,5290 is 756470.
Thus, GCF of Fractions is 2/756470.Finally, GCF of Fractions for 2660/715, 5254/5290 is 2/756470.