GCF of 3056/721, 2250/4217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3056/721, 2250/4217 i.e 2/3040457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3056/721, 2250/4217.
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 3056/721,2250/4217?
Given fractions are 3056/721,2250/4217
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 3056/721,2250/4217, numerators are 3056,2250
Denominators are 721,4217
The GCF of 3056,2250 is 2 .
LCM of 721,4217 is 3040457.
The greatest common factor of 3056/721,2250/4217 = [GCF of 3056,2250]/[LCM of 721,4217]= 2/3040457
Therefore, the GCF of 3056/721,2250/4217 is 2/3040457.
To find the highest common factor of 3056,2250, we have to find the factors of both numbers and list the highest common factor.
The factors of 3056 are 1, 2, 4, 8, 16, 191, 382, 764, 1528, 3056
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 HCF of 3056,2250 is 2.
Lets's calculate GCF of 3056,2250
| 2 | 3056, 2250 |
| 1528, 1125 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3056,2250 By Matching Biggest Common Factor Method
Now, list down the factors of 3056
:1,2,4,8,16,191,382,764,1528,3056
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
Greatest Common Factor
We found the factors 3056,2250 . The biggest common factor number is the GCF number.
So the greatest common factor 3056,2250 is 2.
Lets's calculate LCM of 721,4217
Given numbers has no common factors except 1. So, there LCM is their product i.e 3040457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3040457
Therefore, the GCF of Fractions 3056/721,2250/4217 is 2/3040457
Least Common Multiple of 721,4217 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 721,4217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,4217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,4217) x common factors =1 x 1 = 1
LCM(721,4217) = ( 721 × 4217 ) / 1
LCM(721,4217) = 3040457 / 1
LCM(721,4217) = 3040457
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FAQs on GCF of Fractions of 3056/721, 2250/4217
1. What is the HCF of 3056,2250?
The HCF of 3056,2250 is 2
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 3056/721, 2250/4217?
Answer: GCF of Numerators as per given numbers 3056/721, 2250/4217 is
GCF of Numerators i.e. for 3056,2250 is 2
LCM of denominators i.e. for 721,4217 is 3040457.
Thus, GCF of Fractions is 2/3040457.Finally, GCF of Fractions for 3056/721, 2250/4217 is 2/3040457.