GCF of 2155/200, 7572/5032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2155/200, 7572/5032 i.e 1/125800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2155/200, 7572/5032.
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 2155/200,7572/5032?
Given fractions are 2155/200,7572/5032
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 2155/200,7572/5032, numerators are 2155,7572
Denominators are 200,5032
The GCF of 2155,7572 is 1 .
LCM of 200,5032 is 125800.
The greatest common factor of 2155/200,7572/5032 = [GCF of 2155,7572]/[LCM of 200,5032]= 1/125800
Therefore, the GCF of 2155/200,7572/5032 is 1/125800.
To find the highest common factor of 2155,7572, we have to find the factors of both numbers and list the highest common factor.
The factors of 2155 are 1, 5, 431, 2155
The factors of 7572 are 1, 2, 3, 4, 6, 12, 631, 1262, 1893, 2524, 3786, 7572
The HCF of 2155,7572 is 1.
Lets's calculate GCF of 2155,7572
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2155,7572 By Matching Biggest Common Factor Method
Now, list down the factors of 2155
:1,5,431,2155
Now, list down the factors of 7572
:1,2,3,4,6,12,631,1262,1893,2524,3786,7572
Greatest Common Factor
We found the factors 2155,7572 . The biggest common factor number is the GCF number.
So the greatest common factor 2155,7572 is 1.
Lets's calculate LCM of 200,5032
| 2 | 200, 5032 |
| 2 | 100, 2516 |
| 2 | 50, 1258 |
| 25, 629 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 25 x 629 = 125800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125800
Therefore, the GCF of Fractions 2155/200,7572/5032 is 1/125800
Least Common Multiple of 200,5032 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 200,5032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,5032) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(200,5032) x common factors =8 x 1 = 8
LCM(200,5032) = ( 200 × 5032 ) / 8
LCM(200,5032) = 1006400 / 8
LCM(200,5032) = 125800
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FAQs on GCF of Fractions of 2155/200, 7572/5032
1. What is the HCF of 2155,7572?
The HCF of 2155,7572 is 1
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 2155/200, 7572/5032?
Answer: GCF of Numerators as per given numbers 2155/200, 7572/5032 is
GCF of Numerators i.e. for 2155,7572 is 1
LCM of denominators i.e. for 200,5032 is 125800.
Thus, GCF of Fractions is 1/125800.Finally, GCF of Fractions for 2155/200, 7572/5032 is 1/125800.