GCF of 8926/242, 2378/6247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8926/242, 2378/6247 i.e 2/1511774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8926/242, 2378/6247.
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 8926/242,2378/6247?
Given fractions are 8926/242,2378/6247
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 8926/242,2378/6247, numerators are 8926,2378
Denominators are 242,6247
The GCF of 8926,2378 is 2 .
LCM of 242,6247 is 1511774.
The greatest common factor of 8926/242,2378/6247 = [GCF of 8926,2378]/[LCM of 242,6247]= 2/1511774
Therefore, the GCF of 8926/242,2378/6247 is 2/1511774.
To find the highest common factor of 8926,2378, we have to find the factors of both numbers and list the highest common factor.
The factors of 8926 are 1, 2, 4463, 8926
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The HCF of 8926,2378 is 2.
Lets's calculate GCF of 8926,2378
| 2 | 8926, 2378 |
| 4463, 1189 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8926,2378 By Matching Biggest Common Factor Method
Now, list down the factors of 8926
:1,2,4463,8926
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Greatest Common Factor
We found the factors 8926,2378 . The biggest common factor number is the GCF number.
So the greatest common factor 8926,2378 is 2.
Lets's calculate LCM of 242,6247
Given numbers has no common factors except 1. So, there LCM is their product i.e 1511774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1511774
Therefore, the GCF of Fractions 8926/242,2378/6247 is 2/1511774
Least Common Multiple of 242,6247 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 242,6247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,6247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,6247) x common factors =1 x 1 = 1
LCM(242,6247) = ( 242 × 6247 ) / 1
LCM(242,6247) = 1511774 / 1
LCM(242,6247) = 1511774
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FAQs on GCF of Fractions of 8926/242, 2378/6247
1. What is the HCF of 8926,2378?
The HCF of 8926,2378 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 8926/242, 2378/6247?
Answer: GCF of Numerators as per given numbers 8926/242, 2378/6247 is
GCF of Numerators i.e. for 8926,2378 is 2
LCM of denominators i.e. for 242,6247 is 1511774.
Thus, GCF of Fractions is 2/1511774.Finally, GCF of Fractions for 8926/242, 2378/6247 is 2/1511774.