GCF of 1414/115, 8701/2248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1414/115, 8701/2248 i.e 7/258520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1414/115, 8701/2248.
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 1414/115,8701/2248?
Given fractions are 1414/115,8701/2248
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 1414/115,8701/2248, numerators are 1414,8701
Denominators are 115,2248
The GCF of 1414,8701 is 7 .
LCM of 115,2248 is 258520.
The greatest common factor of 1414/115,8701/2248 = [GCF of 1414,8701]/[LCM of 115,2248]= 7/258520
Therefore, the GCF of 1414/115,8701/2248 is 7/258520.
To find the highest common factor of 1414,8701, we have to find the factors of both numbers and list the highest common factor.
The factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414
The factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701
The HCF of 1414,8701 is 7.
Lets's calculate GCF of 1414,8701
| 7 | 1414, 8701 |
| 202, 1243 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1414,8701 By Matching Biggest Common Factor Method
Now, list down the factors of 1414
:1,2,7,14,101,202,707,1414
Now, list down the factors of 8701
:1,7,11,77,113,791,1243,8701
Greatest Common Factor
We found the factors 1414,8701 . The biggest common factor number is the GCF number.
So the greatest common factor 1414,8701 is 7.
Lets's calculate LCM of 115,2248
Given numbers has no common factors except 1. So, there LCM is their product i.e 258520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/258520
Therefore, the GCF of Fractions 1414/115,8701/2248 is 7/258520
Least Common Multiple of 115,2248 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 115,2248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,2248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,2248) x common factors =1 x 1 = 1
LCM(115,2248) = ( 115 × 2248 ) / 1
LCM(115,2248) = 258520 / 1
LCM(115,2248) = 258520
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FAQs on GCF of Fractions of 1414/115, 8701/2248
1. What is the HCF of 1414,8701?
The HCF of 1414,8701 is 7
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 1414/115, 8701/2248?
Answer: GCF of Numerators as per given numbers 1414/115, 8701/2248 is
GCF of Numerators i.e. for 1414,8701 is 7
LCM of denominators i.e. for 115,2248 is 258520.
Thus, GCF of Fractions is 7/258520.Finally, GCF of Fractions for 1414/115, 8701/2248 is 7/258520.