GCF of 2052/230, 9572/5920
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2052/230, 9572/5920 i.e 4/136160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2052/230, 9572/5920.
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 2052/230,9572/5920?
Given fractions are 2052/230,9572/5920
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 2052/230,9572/5920, numerators are 2052,9572
Denominators are 230,5920
The GCF of 2052,9572 is 4 .
LCM of 230,5920 is 136160.
The greatest common factor of 2052/230,9572/5920 = [GCF of 2052,9572]/[LCM of 230,5920]= 4/136160
Therefore, the GCF of 2052/230,9572/5920 is 4/136160.
To find the highest common factor of 2052,9572, we have to find the factors of both numbers and list the highest common factor.
The factors of 2052 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 2052
The factors of 9572 are 1, 2, 4, 2393, 4786, 9572
The HCF of 2052,9572 is 4.
Lets's calculate GCF of 2052,9572
| 2 | 2052, 9572 |
| 2 | 1026, 4786 |
| 513, 2393 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2052,9572 By Matching Biggest Common Factor Method
Now, list down the factors of 2052
:1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,108,114,171,228,342,513,684,1026,2052
Now, list down the factors of 9572
:1,2,4,2393,4786,9572
Greatest Common Factor
We found the factors 2052,9572 . The biggest common factor number is the GCF number.
So the greatest common factor 2052,9572 is 4.
Lets's calculate LCM of 230,5920
| 2 | 230, 5920 |
| 5 | 115, 2960 |
| 23, 592 |
∴ So the LCM of the given numbers is 2 x 5 x 23 x 592 = 136160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/136160
Therefore, the GCF of Fractions 2052/230,9572/5920 is 4/136160
Least Common Multiple of 230,5920 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 230,5920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,5920) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(230,5920) x common factors =10 x 1 = 10
LCM(230,5920) = ( 230 × 5920 ) / 10
LCM(230,5920) = 1361600 / 10
LCM(230,5920) = 136160
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FAQs on GCF of Fractions of 2052/230, 9572/5920
1. What is the HCF of 2052,9572?
The HCF of 2052,9572 is 4
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 2052/230, 9572/5920?
Answer: GCF of Numerators as per given numbers 2052/230, 9572/5920 is
GCF of Numerators i.e. for 2052,9572 is 4
LCM of denominators i.e. for 230,5920 is 136160.
Thus, GCF of Fractions is 4/136160.Finally, GCF of Fractions for 2052/230, 9572/5920 is 4/136160.