GCF of 5908/171, 7586/8094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5908/171, 7586/8094 i.e 2/24282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5908/171, 7586/8094.
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 5908/171,7586/8094?
Given fractions are 5908/171,7586/8094
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 5908/171,7586/8094, numerators are 5908,7586
Denominators are 171,8094
The GCF of 5908,7586 is 2 .
LCM of 171,8094 is 24282.
The greatest common factor of 5908/171,7586/8094 = [GCF of 5908,7586]/[LCM of 171,8094]= 2/24282
Therefore, the GCF of 5908/171,7586/8094 is 2/24282.
To find the highest common factor of 5908,7586, we have to find the factors of both numbers and list the highest common factor.
The factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908
The factors of 7586 are 1, 2, 3793, 7586
The HCF of 5908,7586 is 2.
Lets's calculate GCF of 5908,7586
| 2 | 5908, 7586 |
| 2954, 3793 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5908,7586 By Matching Biggest Common Factor Method
Now, list down the factors of 5908
:1,2,4,7,14,28,211,422,844,1477,2954,5908
Now, list down the factors of 7586
:1,2,3793,7586
Greatest Common Factor
We found the factors 5908,7586 . The biggest common factor number is the GCF number.
So the greatest common factor 5908,7586 is 2.
Lets's calculate LCM of 171,8094
| 3 | 171, 8094 |
| 19 | 57, 2698 |
| 3, 142 |
∴ So the LCM of the given numbers is 3 x 19 x 3 x 142 = 24282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24282
Therefore, the GCF of Fractions 5908/171,7586/8094 is 2/24282
Least Common Multiple of 171,8094 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 171,8094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,8094) = 57
common factors(in case of two or more numbers have common factors) = 1
GCF(171,8094) x common factors =57 x 1 = 57
LCM(171,8094) = ( 171 × 8094 ) / 57
LCM(171,8094) = 1384074 / 57
LCM(171,8094) = 24282
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FAQs on GCF of Fractions of 5908/171, 7586/8094
1. What is the HCF of 5908,7586?
The HCF of 5908,7586 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 5908/171, 7586/8094?
Answer: GCF of Numerators as per given numbers 5908/171, 7586/8094 is
GCF of Numerators i.e. for 5908,7586 is 2
LCM of denominators i.e. for 171,8094 is 24282.
Thus, GCF of Fractions is 2/24282.Finally, GCF of Fractions for 5908/171, 7586/8094 is 2/24282.