GCF of 2348/256, 7426/731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2348/256, 7426/731 i.e 2/187136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2348/256, 7426/731.
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 2348/256,7426/731?
Given fractions are 2348/256,7426/731
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 2348/256,7426/731, numerators are 2348,7426
Denominators are 256,731
The GCF of 2348,7426 is 2 .
LCM of 256,731 is 187136.
The greatest common factor of 2348/256,7426/731 = [GCF of 2348,7426]/[LCM of 256,731]= 2/187136
Therefore, the GCF of 2348/256,7426/731 is 2/187136.
To find the highest common factor of 2348,7426, we have to find the factors of both numbers and list the highest common factor.
The factors of 2348 are 1, 2, 4, 587, 1174, 2348
The factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426
The HCF of 2348,7426 is 2.
Lets's calculate GCF of 2348,7426
| 2 | 2348, 7426 |
| 1174, 3713 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2348,7426 By Matching Biggest Common Factor Method
Now, list down the factors of 2348
:1,2,4,587,1174,2348
Now, list down the factors of 7426
:1,2,47,79,94,158,3713,7426
Greatest Common Factor
We found the factors 2348,7426 . The biggest common factor number is the GCF number.
So the greatest common factor 2348,7426 is 2.
Lets's calculate LCM of 256,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 187136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187136
Therefore, the GCF of Fractions 2348/256,7426/731 is 2/187136
Least Common Multiple of 256,731 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 256,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,731) x common factors =1 x 1 = 1
LCM(256,731) = ( 256 × 731 ) / 1
LCM(256,731) = 187136 / 1
LCM(256,731) = 187136
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FAQs on GCF of Fractions of 2348/256, 7426/731
1. What is the HCF of 2348,7426?
The HCF of 2348,7426 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 2348/256, 7426/731?
Answer: GCF of Numerators as per given numbers 2348/256, 7426/731 is
GCF of Numerators i.e. for 2348,7426 is 2
LCM of denominators i.e. for 256,731 is 187136.
Thus, GCF of Fractions is 2/187136.Finally, GCF of Fractions for 2348/256, 7426/731 is 2/187136.