GCF of 156/855, 5629/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 156/855, 5629/517 i.e 13/442035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/855, 5629/517.
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 156/855,5629/517?
Given fractions are 156/855,5629/517
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 156/855,5629/517, numerators are 156,5629
Denominators are 855,517
The GCF of 156,5629 is 13 .
LCM of 855,517 is 442035.
The greatest common factor of 156/855,5629/517 = [GCF of 156,5629]/[LCM of 855,517]= 13/442035
Therefore, the GCF of 156/855,5629/517 is 13/442035.
To find the highest common factor of 156,5629, we have to find the factors of both numbers and list the highest common factor.
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The factors of 5629 are 1, 13, 433, 5629
The HCF of 156,5629 is 13.
Lets's calculate GCF of 156,5629
| 13 | 156, 5629 |
| 12, 433 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 156,5629 By Matching Biggest Common Factor Method
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Now, list down the factors of 5629
:1,13,433,5629
Greatest Common Factor
We found the factors 156,5629 . The biggest common factor number is the GCF number.
So the greatest common factor 156,5629 is 13.
Lets's calculate LCM of 855,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 442035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/442035
Therefore, the GCF of Fractions 156/855,5629/517 is 13/442035
Least Common Multiple of 855,517 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 855,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,517) x common factors =1 x 1 = 1
LCM(855,517) = ( 855 × 517 ) / 1
LCM(855,517) = 442035 / 1
LCM(855,517) = 442035
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FAQs on GCF of Fractions of 156/855, 5629/517
1. What is the HCF of 156,5629?
The HCF of 156,5629 is 13
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 156/855, 5629/517?
Answer: GCF of Numerators as per given numbers 156/855, 5629/517 is
GCF of Numerators i.e. for 156,5629 is 13
LCM of denominators i.e. for 855,517 is 442035.
Thus, GCF of Fractions is 13/442035.Finally, GCF of Fractions for 156/855, 5629/517 is 13/442035.