GCF of 2114/734, 7302/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2114/734, 7302/241 i.e 2/176894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2114/734, 7302/241.
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 2114/734,7302/241?
Given fractions are 2114/734,7302/241
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 2114/734,7302/241, numerators are 2114,7302
Denominators are 734,241
The GCF of 2114,7302 is 2 .
LCM of 734,241 is 176894.
The greatest common factor of 2114/734,7302/241 = [GCF of 2114,7302]/[LCM of 734,241]= 2/176894
Therefore, the GCF of 2114/734,7302/241 is 2/176894.
To find the highest common factor of 2114,7302, we have to find the factors of both numbers and list the highest common factor.
The factors of 2114 are 1, 2, 7, 14, 151, 302, 1057, 2114
The factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302
The HCF of 2114,7302 is 2.
Lets's calculate GCF of 2114,7302
| 2 | 2114, 7302 |
| 1057, 3651 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2114,7302 By Matching Biggest Common Factor Method
Now, list down the factors of 2114
:1,2,7,14,151,302,1057,2114
Now, list down the factors of 7302
:1,2,3,6,1217,2434,3651,7302
Greatest Common Factor
We found the factors 2114,7302 . The biggest common factor number is the GCF number.
So the greatest common factor 2114,7302 is 2.
Lets's calculate LCM of 734,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 176894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176894
Therefore, the GCF of Fractions 2114/734,7302/241 is 2/176894
Least Common Multiple of 734,241 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 734,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,241) x common factors =1 x 1 = 1
LCM(734,241) = ( 734 × 241 ) / 1
LCM(734,241) = 176894 / 1
LCM(734,241) = 176894
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FAQs on GCF of Fractions of 2114/734, 7302/241
1. What is the HCF of 2114,7302?
The HCF of 2114,7302 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 2114/734, 7302/241?
Answer: GCF of Numerators as per given numbers 2114/734, 7302/241 is
GCF of Numerators i.e. for 2114,7302 is 2
LCM of denominators i.e. for 734,241 is 176894.
Thus, GCF of Fractions is 2/176894.Finally, GCF of Fractions for 2114/734, 7302/241 is 2/176894.