GCF of 4540/565, 9040/608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4540/565, 9040/608 i.e 20/343520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4540/565, 9040/608.
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 4540/565,9040/608?
Given fractions are 4540/565,9040/608
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 4540/565,9040/608, numerators are 4540,9040
Denominators are 565,608
The GCF of 4540,9040 is 20 .
LCM of 565,608 is 343520.
The greatest common factor of 4540/565,9040/608 = [GCF of 4540,9040]/[LCM of 565,608]= 20/343520
Therefore, the GCF of 4540/565,9040/608 is 20/343520.
To find the highest common factor of 4540,9040, we have to find the factors of both numbers and list the highest common factor.
The factors of 4540 are 1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540
The factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040
The HCF of 4540,9040 is 20.
Lets's calculate GCF of 4540,9040
| 2 | 4540, 9040 |
| 2 | 2270, 4520 |
| 5 | 1135, 2260 |
| 227, 452 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4540,9040 By Matching Biggest Common Factor Method
Now, list down the factors of 4540
:1,2,4,5,10,20,227,454,908,1135,2270,4540
Now, list down the factors of 9040
:1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Greatest Common Factor
We found the factors 4540,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 4540,9040 is 20.
Lets's calculate LCM of 565,608
Given numbers has no common factors except 1. So, there LCM is their product i.e 343520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/343520
Therefore, the GCF of Fractions 4540/565,9040/608 is 20/343520
Least Common Multiple of 565,608 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 565,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,608) x common factors =1 x 1 = 1
LCM(565,608) = ( 565 × 608 ) / 1
LCM(565,608) = 343520 / 1
LCM(565,608) = 343520
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FAQs on GCF of Fractions of 4540/565, 9040/608
1. What is the HCF of 4540,9040?
The HCF of 4540,9040 is 20
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 4540/565, 9040/608?
Answer: GCF of Numerators as per given numbers 4540/565, 9040/608 is
GCF of Numerators i.e. for 4540,9040 is 20
LCM of denominators i.e. for 565,608 is 343520.
Thus, GCF of Fractions is 20/343520.Finally, GCF of Fractions for 4540/565, 9040/608 is 20/343520.