GCF of 4448/262, 7325/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4448/262, 7325/210 i.e 1/27510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4448/262, 7325/210.
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 4448/262,7325/210?
Given fractions are 4448/262,7325/210
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 4448/262,7325/210, numerators are 4448,7325
Denominators are 262,210
The GCF of 4448,7325 is 1 .
LCM of 262,210 is 27510.
The greatest common factor of 4448/262,7325/210 = [GCF of 4448,7325]/[LCM of 262,210]= 1/27510
Therefore, the GCF of 4448/262,7325/210 is 1/27510.
To find the highest common factor of 4448,7325, we have to find the factors of both numbers and list the highest common factor.
The factors of 4448 are 1, 2, 4, 8, 16, 32, 139, 278, 556, 1112, 2224, 4448
The factors of 7325 are 1, 5, 25, 293, 1465, 7325
The HCF of 4448,7325 is 1.
Lets's calculate GCF of 4448,7325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4448,7325 By Matching Biggest Common Factor Method
Now, list down the factors of 4448
:1,2,4,8,16,32,139,278,556,1112,2224,4448
Now, list down the factors of 7325
:1,5,25,293,1465,7325
Greatest Common Factor
We found the factors 4448,7325 . The biggest common factor number is the GCF number.
So the greatest common factor 4448,7325 is 1.
Lets's calculate LCM of 262,210
| 2 | 262, 210 |
| 131, 105 |
∴ So the LCM of the given numbers is 2 x 131 x 105 = 27510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27510
Therefore, the GCF of Fractions 4448/262,7325/210 is 1/27510
Least Common Multiple of 262,210 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 262,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,210) x common factors =2 x 1 = 2
LCM(262,210) = ( 262 × 210 ) / 2
LCM(262,210) = 55020 / 2
LCM(262,210) = 27510
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FAQs on GCF of Fractions of 4448/262, 7325/210
1. What is the HCF of 4448,7325?
The HCF of 4448,7325 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 4448/262, 7325/210?
Answer: GCF of Numerators as per given numbers 4448/262, 7325/210 is
GCF of Numerators i.e. for 4448,7325 is 1
LCM of denominators i.e. for 262,210 is 27510.
Thus, GCF of Fractions is 1/27510.Finally, GCF of Fractions for 4448/262, 7325/210 is 1/27510.