GCF of 2250/131, 2985/572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2250/131, 2985/572 i.e 15/74932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2250/131, 2985/572.
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 2250/131,2985/572?
Given fractions are 2250/131,2985/572
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 2250/131,2985/572, numerators are 2250,2985
Denominators are 131,572
The GCF of 2250,2985 is 15 .
LCM of 131,572 is 74932.
The greatest common factor of 2250/131,2985/572 = [GCF of 2250,2985]/[LCM of 131,572]= 15/74932
Therefore, the GCF of 2250/131,2985/572 is 15/74932.
To find the highest common factor of 2250,2985, we have to find the factors of both numbers and list the highest common factor.
The factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250
The factors of 2985 are 1, 3, 5, 15, 199, 597, 995, 2985
The HCF of 2250,2985 is 15.
Lets's calculate GCF of 2250,2985
| 3 | 2250, 2985 |
| 5 | 750, 995 |
| 150, 199 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2250,2985 By Matching Biggest Common Factor Method
Now, list down the factors of 2250
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250
Now, list down the factors of 2985
:1,3,5,15,199,597,995,2985
Greatest Common Factor
We found the factors 2250,2985 . The biggest common factor number is the GCF number.
So the greatest common factor 2250,2985 is 15.
Lets's calculate LCM of 131,572
Given numbers has no common factors except 1. So, there LCM is their product i.e 74932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/74932
Therefore, the GCF of Fractions 2250/131,2985/572 is 15/74932
Least Common Multiple of 131,572 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 131,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,572) x common factors =1 x 1 = 1
LCM(131,572) = ( 131 × 572 ) / 1
LCM(131,572) = 74932 / 1
LCM(131,572) = 74932
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FAQs on GCF of Fractions of 2250/131, 2985/572
1. What is the HCF of 2250,2985?
The HCF of 2250,2985 is 15
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 2250/131, 2985/572?
Answer: GCF of Numerators as per given numbers 2250/131, 2985/572 is
GCF of Numerators i.e. for 2250,2985 is 15
LCM of denominators i.e. for 131,572 is 74932.
Thus, GCF of Fractions is 15/74932.Finally, GCF of Fractions for 2250/131, 2985/572 is 15/74932.