GCF of 5594/136, 7086/5408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5594/136, 7086/5408 i.e 2/91936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5594/136, 7086/5408.
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 5594/136,7086/5408?
Given fractions are 5594/136,7086/5408
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 5594/136,7086/5408, numerators are 5594,7086
Denominators are 136,5408
The GCF of 5594,7086 is 2 .
LCM of 136,5408 is 91936.
The greatest common factor of 5594/136,7086/5408 = [GCF of 5594,7086]/[LCM of 136,5408]= 2/91936
Therefore, the GCF of 5594/136,7086/5408 is 2/91936.
To find the highest common factor of 5594,7086, we have to find the factors of both numbers and list the highest common factor.
The factors of 5594 are 1, 2, 2797, 5594
The factors of 7086 are 1, 2, 3, 6, 1181, 2362, 3543, 7086
The HCF of 5594,7086 is 2.
Lets's calculate GCF of 5594,7086
| 2 | 5594, 7086 |
| 2797, 3543 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5594,7086 By Matching Biggest Common Factor Method
Now, list down the factors of 5594
:1,2,2797,5594
Now, list down the factors of 7086
:1,2,3,6,1181,2362,3543,7086
Greatest Common Factor
We found the factors 5594,7086 . The biggest common factor number is the GCF number.
So the greatest common factor 5594,7086 is 2.
Lets's calculate LCM of 136,5408
| 2 | 136, 5408 |
| 2 | 68, 2704 |
| 2 | 34, 1352 |
| 17, 676 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 676 = 91936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/91936
Therefore, the GCF of Fractions 5594/136,7086/5408 is 2/91936
Least Common Multiple of 136,5408 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 136,5408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,5408) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(136,5408) x common factors =8 x 1 = 8
LCM(136,5408) = ( 136 × 5408 ) / 8
LCM(136,5408) = 735488 / 8
LCM(136,5408) = 91936
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FAQs on GCF of Fractions of 5594/136, 7086/5408
1. What is the HCF of 5594,7086?
The HCF of 5594,7086 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 5594/136, 7086/5408?
Answer: GCF of Numerators as per given numbers 5594/136, 7086/5408 is
GCF of Numerators i.e. for 5594,7086 is 2
LCM of denominators i.e. for 136,5408 is 91936.
Thus, GCF of Fractions is 2/91936.Finally, GCF of Fractions for 5594/136, 7086/5408 is 2/91936.