GCF of 2275/224, 3750/2032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2275/224, 3750/2032 i.e 25/28448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2275/224, 3750/2032.
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 2275/224,3750/2032?
Given fractions are 2275/224,3750/2032
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 2275/224,3750/2032, numerators are 2275,3750
Denominators are 224,2032
The GCF of 2275,3750 is 25 .
LCM of 224,2032 is 28448.
The greatest common factor of 2275/224,3750/2032 = [GCF of 2275,3750]/[LCM of 224,2032]= 25/28448
Therefore, the GCF of 2275/224,3750/2032 is 25/28448.
To find the highest common factor of 2275,3750, we have to find the factors of both numbers and list the highest common factor.
The factors of 2275 are 1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275
The factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750
The HCF of 2275,3750 is 25.
Lets's calculate GCF of 2275,3750
| 5 | 2275, 3750 |
| 5 | 455, 750 |
| 91, 150 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 2275,3750 By Matching Biggest Common Factor Method
Now, list down the factors of 2275
:1,5,7,13,25,35,65,91,175,325,455,2275
Now, list down the factors of 3750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750
Greatest Common Factor
We found the factors 2275,3750 . The biggest common factor number is the GCF number.
So the greatest common factor 2275,3750 is 25.
Lets's calculate LCM of 224,2032
| 2 | 224, 2032 |
| 2 | 112, 1016 |
| 2 | 56, 508 |
| 2 | 28, 254 |
| 14, 127 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 14 x 127 = 28448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/28448
Therefore, the GCF of Fractions 2275/224,3750/2032 is 25/28448
Least Common Multiple of 224,2032 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 224,2032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,2032) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(224,2032) x common factors =16 x 1 = 16
LCM(224,2032) = ( 224 × 2032 ) / 16
LCM(224,2032) = 455168 / 16
LCM(224,2032) = 28448
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FAQs on GCF of Fractions of 2275/224, 3750/2032
1. What is the HCF of 2275,3750?
The HCF of 2275,3750 is 25
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 2275/224, 3750/2032?
Answer: GCF of Numerators as per given numbers 2275/224, 3750/2032 is
GCF of Numerators i.e. for 2275,3750 is 25
LCM of denominators i.e. for 224,2032 is 28448.
Thus, GCF of Fractions is 25/28448.Finally, GCF of Fractions for 2275/224, 3750/2032 is 25/28448.