GCF of 2275/600, 1120/861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2275/600, 1120/861 i.e 35/172200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2275/600, 1120/861.
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 2275/600,1120/861?
Given fractions are 2275/600,1120/861
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 2275/600,1120/861, numerators are 2275,1120
Denominators are 600,861
The GCF of 2275,1120 is 35 .
LCM of 600,861 is 172200.
The greatest common factor of 2275/600,1120/861 = [GCF of 2275,1120]/[LCM of 600,861]= 35/172200
Therefore, the GCF of 2275/600,1120/861 is 35/172200.
To find the highest common factor of 2275,1120, 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 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120
The HCF of 2275,1120 is 35.
Lets's calculate GCF of 2275,1120
| 5 | 2275, 1120 |
| 7 | 455, 224 |
| 65, 32 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 2275,1120 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 1120
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120
Greatest Common Factor
We found the factors 2275,1120 . The biggest common factor number is the GCF number.
So the greatest common factor 2275,1120 is 35.
Lets's calculate LCM of 600,861
| 3 | 600, 861 |
| 200, 287 |
∴ So the LCM of the given numbers is 3 x 200 x 287 = 172200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/172200
Therefore, the GCF of Fractions 2275/600,1120/861 is 35/172200
Least Common Multiple of 600,861 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 600,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,861) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(600,861) x common factors =3 x 1 = 3
LCM(600,861) = ( 600 × 861 ) / 3
LCM(600,861) = 516600 / 3
LCM(600,861) = 172200
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FAQs on GCF of Fractions of 2275/600, 1120/861
1. What is the HCF of 2275,1120?
The HCF of 2275,1120 is 35
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 2275/600, 1120/861?
Answer: GCF of Numerators as per given numbers 2275/600, 1120/861 is
GCF of Numerators i.e. for 2275,1120 is 35
LCM of denominators i.e. for 600,861 is 172200.
Thus, GCF of Fractions is 35/172200.Finally, GCF of Fractions for 2275/600, 1120/861 is 35/172200.