GCF of 4136/614, 7178/5584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4136/614, 7178/5584 i.e 2/1714288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4136/614, 7178/5584.
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 4136/614,7178/5584?
Given fractions are 4136/614,7178/5584
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 4136/614,7178/5584, numerators are 4136,7178
Denominators are 614,5584
The GCF of 4136,7178 is 2 .
LCM of 614,5584 is 1714288.
The greatest common factor of 4136/614,7178/5584 = [GCF of 4136,7178]/[LCM of 614,5584]= 2/1714288
Therefore, the GCF of 4136/614,7178/5584 is 2/1714288.
To find the highest common factor of 4136,7178, we have to find the factors of both numbers and list the highest common factor.
The factors of 4136 are 1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136
The factors of 7178 are 1, 2, 37, 74, 97, 194, 3589, 7178
The HCF of 4136,7178 is 2.
Lets's calculate GCF of 4136,7178
| 2 | 4136, 7178 |
| 2068, 3589 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4136,7178 By Matching Biggest Common Factor Method
Now, list down the factors of 4136
:1,2,4,8,11,22,44,47,88,94,188,376,517,1034,2068,4136
Now, list down the factors of 7178
:1,2,37,74,97,194,3589,7178
Greatest Common Factor
We found the factors 4136,7178 . The biggest common factor number is the GCF number.
So the greatest common factor 4136,7178 is 2.
Lets's calculate LCM of 614,5584
| 2 | 614, 5584 |
| 307, 2792 |
∴ So the LCM of the given numbers is 2 x 307 x 2792 = 1714288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1714288
Therefore, the GCF of Fractions 4136/614,7178/5584 is 2/1714288
Least Common Multiple of 614,5584 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 614,5584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,5584) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,5584) x common factors =2 x 1 = 2
LCM(614,5584) = ( 614 × 5584 ) / 2
LCM(614,5584) = 3428576 / 2
LCM(614,5584) = 1714288
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4136/614, 7178/5584
1. What is the HCF of 4136,7178?
The HCF of 4136,7178 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 4136/614, 7178/5584?
Answer: GCF of Numerators as per given numbers 4136/614, 7178/5584 is
GCF of Numerators i.e. for 4136,7178 is 2
LCM of denominators i.e. for 614,5584 is 1714288.
Thus, GCF of Fractions is 2/1714288.Finally, GCF of Fractions for 4136/614, 7178/5584 is 2/1714288.