GCF of 4012/406, 5117/7861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4012/406, 5117/7861 i.e 17/455938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4012/406, 5117/7861.
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 4012/406,5117/7861?
Given fractions are 4012/406,5117/7861
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 4012/406,5117/7861, numerators are 4012,5117
Denominators are 406,7861
The GCF of 4012,5117 is 17 .
LCM of 406,7861 is 455938.
The greatest common factor of 4012/406,5117/7861 = [GCF of 4012,5117]/[LCM of 406,7861]= 17/455938
Therefore, the GCF of 4012/406,5117/7861 is 17/455938.
To find the highest common factor of 4012,5117, we have to find the factors of both numbers and list the highest common factor.
The factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012
The factors of 5117 are 1, 7, 17, 43, 119, 301, 731, 5117
The HCF of 4012,5117 is 17.
Lets's calculate GCF of 4012,5117
| 17 | 4012, 5117 |
| 236, 301 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 4012,5117 By Matching Biggest Common Factor Method
Now, list down the factors of 4012
:1,2,4,17,34,59,68,118,236,1003,2006,4012
Now, list down the factors of 5117
:1,7,17,43,119,301,731,5117
Greatest Common Factor
We found the factors 4012,5117 . The biggest common factor number is the GCF number.
So the greatest common factor 4012,5117 is 17.
Lets's calculate LCM of 406,7861
| 7 | 406, 7861 |
| 58, 1123 |
∴ So the LCM of the given numbers is 7 x 58 x 1123 = 455938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/455938
Therefore, the GCF of Fractions 4012/406,5117/7861 is 17/455938
Least Common Multiple of 406,7861 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 406,7861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,7861) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(406,7861) x common factors =7 x 1 = 7
LCM(406,7861) = ( 406 × 7861 ) / 7
LCM(406,7861) = 3191566 / 7
LCM(406,7861) = 455938
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FAQs on GCF of Fractions of 4012/406, 5117/7861
1. What is the HCF of 4012,5117?
The HCF of 4012,5117 is 17
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 4012/406, 5117/7861?
Answer: GCF of Numerators as per given numbers 4012/406, 5117/7861 is
GCF of Numerators i.e. for 4012,5117 is 17
LCM of denominators i.e. for 406,7861 is 455938.
Thus, GCF of Fractions is 17/455938.Finally, GCF of Fractions for 4012/406, 5117/7861 is 17/455938.