GCF of 2720/480, 4526/5766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2720/480, 4526/5766 i.e 2/461280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2720/480, 4526/5766.
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 2720/480,4526/5766?
Given fractions are 2720/480,4526/5766
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 2720/480,4526/5766, numerators are 2720,4526
Denominators are 480,5766
The GCF of 2720,4526 is 2 .
LCM of 480,5766 is 461280.
The greatest common factor of 2720/480,4526/5766 = [GCF of 2720,4526]/[LCM of 480,5766]= 2/461280
Therefore, the GCF of 2720/480,4526/5766 is 2/461280.
To find the highest common factor of 2720,4526, we have to find the factors of both numbers and list the highest common factor.
The factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720
The factors of 4526 are 1, 2, 31, 62, 73, 146, 2263, 4526
The HCF of 2720,4526 is 2.
Lets's calculate GCF of 2720,4526
| 2 | 2720, 4526 |
| 1360, 2263 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2720,4526 By Matching Biggest Common Factor Method
Now, list down the factors of 2720
:1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720
Now, list down the factors of 4526
:1,2,31,62,73,146,2263,4526
Greatest Common Factor
We found the factors 2720,4526 . The biggest common factor number is the GCF number.
So the greatest common factor 2720,4526 is 2.
Lets's calculate LCM of 480,5766
| 2 | 480, 5766 |
| 3 | 240, 2883 |
| 80, 961 |
∴ So the LCM of the given numbers is 2 x 3 x 80 x 961 = 461280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/461280
Therefore, the GCF of Fractions 2720/480,4526/5766 is 2/461280
Least Common Multiple of 480,5766 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 480,5766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,5766) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(480,5766) x common factors =6 x 1 = 6
LCM(480,5766) = ( 480 × 5766 ) / 6
LCM(480,5766) = 2767680 / 6
LCM(480,5766) = 461280
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FAQs on GCF of Fractions of 2720/480, 4526/5766
1. What is the HCF of 2720,4526?
The HCF of 2720,4526 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 2720/480, 4526/5766?
Answer: GCF of Numerators as per given numbers 2720/480, 4526/5766 is
GCF of Numerators i.e. for 2720,4526 is 2
LCM of denominators i.e. for 480,5766 is 461280.
Thus, GCF of Fractions is 2/461280.Finally, GCF of Fractions for 2720/480, 4526/5766 is 2/461280.