GCF of 5036/471, 1412/172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5036/471, 1412/172 i.e 4/81012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5036/471, 1412/172.
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 5036/471,1412/172?
Given fractions are 5036/471,1412/172
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 5036/471,1412/172, numerators are 5036,1412
Denominators are 471,172
The GCF of 5036,1412 is 4 .
LCM of 471,172 is 81012.
The greatest common factor of 5036/471,1412/172 = [GCF of 5036,1412]/[LCM of 471,172]= 4/81012
Therefore, the GCF of 5036/471,1412/172 is 4/81012.
To find the highest common factor of 5036,1412, we have to find the factors of both numbers and list the highest common factor.
The factors of 5036 are 1, 2, 4, 1259, 2518, 5036
The factors of 1412 are 1, 2, 4, 353, 706, 1412
The HCF of 5036,1412 is 4.
Lets's calculate GCF of 5036,1412
| 2 | 5036, 1412 |
| 2 | 2518, 706 |
| 1259, 353 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5036,1412 By Matching Biggest Common Factor Method
Now, list down the factors of 5036
:1,2,4,1259,2518,5036
Now, list down the factors of 1412
:1,2,4,353,706,1412
Greatest Common Factor
We found the factors 5036,1412 . The biggest common factor number is the GCF number.
So the greatest common factor 5036,1412 is 4.
Lets's calculate LCM of 471,172
Given numbers has no common factors except 1. So, there LCM is their product i.e 81012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/81012
Therefore, the GCF of Fractions 5036/471,1412/172 is 4/81012
Least Common Multiple of 471,172 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 471,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,172) x common factors =1 x 1 = 1
LCM(471,172) = ( 471 × 172 ) / 1
LCM(471,172) = 81012 / 1
LCM(471,172) = 81012
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FAQs on GCF of Fractions of 5036/471, 1412/172
1. What is the HCF of 5036,1412?
The HCF of 5036,1412 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 5036/471, 1412/172?
Answer: GCF of Numerators as per given numbers 5036/471, 1412/172 is
GCF of Numerators i.e. for 5036,1412 is 4
LCM of denominators i.e. for 471,172 is 81012.
Thus, GCF of Fractions is 4/81012.Finally, GCF of Fractions for 5036/471, 1412/172 is 4/81012.