GCF of 2195/418, 2224/7374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2195/418, 2224/7374 i.e 1/1541166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2195/418, 2224/7374.
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 2195/418,2224/7374?
Given fractions are 2195/418,2224/7374
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 2195/418,2224/7374, numerators are 2195,2224
Denominators are 418,7374
The GCF of 2195,2224 is 1 .
LCM of 418,7374 is 1541166.
The greatest common factor of 2195/418,2224/7374 = [GCF of 2195,2224]/[LCM of 418,7374]= 1/1541166
Therefore, the GCF of 2195/418,2224/7374 is 1/1541166.
To find the highest common factor of 2195,2224, we have to find the factors of both numbers and list the highest common factor.
The factors of 2195 are 1, 5, 439, 2195
The factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224
The HCF of 2195,2224 is 1.
Lets's calculate GCF of 2195,2224
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2195,2224 By Matching Biggest Common Factor Method
Now, list down the factors of 2195
:1,5,439,2195
Now, list down the factors of 2224
:1,2,4,8,16,139,278,556,1112,2224
Greatest Common Factor
We found the factors 2195,2224 . The biggest common factor number is the GCF number.
So the greatest common factor 2195,2224 is 1.
Lets's calculate LCM of 418,7374
| 2 | 418, 7374 |
| 209, 3687 |
∴ So the LCM of the given numbers is 2 x 209 x 3687 = 1541166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1541166
Therefore, the GCF of Fractions 2195/418,2224/7374 is 1/1541166
Least Common Multiple of 418,7374 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 418,7374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,7374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,7374) x common factors =2 x 1 = 2
LCM(418,7374) = ( 418 × 7374 ) / 2
LCM(418,7374) = 3082332 / 2
LCM(418,7374) = 1541166
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FAQs on GCF of Fractions of 2195/418, 2224/7374
1. What is the HCF of 2195,2224?
The HCF of 2195,2224 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 2195/418, 2224/7374?
Answer: GCF of Numerators as per given numbers 2195/418, 2224/7374 is
GCF of Numerators i.e. for 2195,2224 is 1
LCM of denominators i.e. for 418,7374 is 1541166.
Thus, GCF of Fractions is 1/1541166.Finally, GCF of Fractions for 2195/418, 2224/7374 is 1/1541166.