GCF of 1952/198, 7221/7415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1952/198, 7221/7415 i.e 1/1468170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1952/198, 7221/7415.
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 1952/198,7221/7415?
Given fractions are 1952/198,7221/7415
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 1952/198,7221/7415, numerators are 1952,7221
Denominators are 198,7415
The GCF of 1952,7221 is 1 .
LCM of 198,7415 is 1468170.
The greatest common factor of 1952/198,7221/7415 = [GCF of 1952,7221]/[LCM of 198,7415]= 1/1468170
Therefore, the GCF of 1952/198,7221/7415 is 1/1468170.
To find the highest common factor of 1952,7221, we have to find the factors of both numbers and list the highest common factor.
The factors of 1952 are 1, 2, 4, 8, 16, 32, 61, 122, 244, 488, 976, 1952
The factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221
The HCF of 1952,7221 is 1.
Lets's calculate GCF of 1952,7221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1952,7221 By Matching Biggest Common Factor Method
Now, list down the factors of 1952
:1,2,4,8,16,32,61,122,244,488,976,1952
Now, list down the factors of 7221
:1,3,29,83,87,249,2407,7221
Greatest Common Factor
We found the factors 1952,7221 . The biggest common factor number is the GCF number.
So the greatest common factor 1952,7221 is 1.
Lets's calculate LCM of 198,7415
Given numbers has no common factors except 1. So, there LCM is their product i.e 1468170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1468170
Therefore, the GCF of Fractions 1952/198,7221/7415 is 1/1468170
Least Common Multiple of 198,7415 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 198,7415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,7415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(198,7415) x common factors =1 x 1 = 1
LCM(198,7415) = ( 198 × 7415 ) / 1
LCM(198,7415) = 1468170 / 1
LCM(198,7415) = 1468170
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FAQs on GCF of Fractions of 1952/198, 7221/7415
1. What is the HCF of 1952,7221?
The HCF of 1952,7221 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 1952/198, 7221/7415?
Answer: GCF of Numerators as per given numbers 1952/198, 7221/7415 is
GCF of Numerators i.e. for 1952,7221 is 1
LCM of denominators i.e. for 198,7415 is 1468170.
Thus, GCF of Fractions is 1/1468170.Finally, GCF of Fractions for 1952/198, 7221/7415 is 1/1468170.