GCF of 516/171, 9956/625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 516/171, 9956/625 i.e 4/106875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 516/171, 9956/625.
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 516/171,9956/625?
Given fractions are 516/171,9956/625
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 516/171,9956/625, numerators are 516,9956
Denominators are 171,625
The GCF of 516,9956 is 4 .
LCM of 171,625 is 106875.
The greatest common factor of 516/171,9956/625 = [GCF of 516,9956]/[LCM of 171,625]= 4/106875
Therefore, the GCF of 516/171,9956/625 is 4/106875.
To find the highest common factor of 516,9956, we have to find the factors of both numbers and list the highest common factor.
The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
The factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956
The HCF of 516,9956 is 4.
Lets's calculate GCF of 516,9956
| 2 | 516, 9956 |
| 2 | 258, 4978 |
| 129, 2489 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 516,9956 By Matching Biggest Common Factor Method
Now, list down the factors of 516
:1,2,3,4,6,12,43,86,129,172,258,516
Now, list down the factors of 9956
:1,2,4,19,38,76,131,262,524,2489,4978,9956
Greatest Common Factor
We found the factors 516,9956 . The biggest common factor number is the GCF number.
So the greatest common factor 516,9956 is 4.
Lets's calculate LCM of 171,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 106875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/106875
Therefore, the GCF of Fractions 516/171,9956/625 is 4/106875
Least Common Multiple of 171,625 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 171,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,625) x common factors =1 x 1 = 1
LCM(171,625) = ( 171 × 625 ) / 1
LCM(171,625) = 106875 / 1
LCM(171,625) = 106875
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FAQs on GCF of Fractions of 516/171, 9956/625
1. What is the HCF of 516,9956?
The HCF of 516,9956 is 4
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 516/171, 9956/625?
Answer: GCF of Numerators as per given numbers 516/171, 9956/625 is
GCF of Numerators i.e. for 516,9956 is 4
LCM of denominators i.e. for 171,625 is 106875.
Thus, GCF of Fractions is 4/106875.Finally, GCF of Fractions for 516/171, 9956/625 is 4/106875.