GCF of 536/629, 138/598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 536/629, 138/598 i.e 2/376142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/629, 138/598.
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 536/629,138/598?
Given fractions are 536/629,138/598
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 536/629,138/598, numerators are 536,138
Denominators are 629,598
The GCF of 536,138 is 2 .
LCM of 629,598 is 376142.
The greatest common factor of 536/629,138/598 = [GCF of 536,138]/[LCM of 629,598]= 2/376142
Therefore, the GCF of 536/629,138/598 is 2/376142.
To find the highest common factor of 536,138, we have to find the factors of both numbers and list the highest common factor.
The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138
The HCF of 536,138 is 2.
Lets's calculate GCF of 536,138
| 2 | 536, 138 |
| 268, 69 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 536,138 By Matching Biggest Common Factor Method
Now, list down the factors of 536
:1,2,4,8,67,134,268,536
Now, list down the factors of 138
:1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 536,138 . The biggest common factor number is the GCF number.
So the greatest common factor 536,138 is 2.
Lets's calculate LCM of 629,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 376142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/376142
Therefore, the GCF of Fractions 536/629,138/598 is 2/376142
Least Common Multiple of 629,598 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 629,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,598) x common factors =1 x 1 = 1
LCM(629,598) = ( 629 × 598 ) / 1
LCM(629,598) = 376142 / 1
LCM(629,598) = 376142
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FAQs on GCF of Fractions of 536/629, 138/598
1. What is the HCF of 536,138?
The HCF of 536,138 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 536/629, 138/598?
Answer: GCF of Numerators as per given numbers 536/629, 138/598 is
GCF of Numerators i.e. for 536,138 is 2
LCM of denominators i.e. for 629,598 is 376142.
Thus, GCF of Fractions is 2/376142.Finally, GCF of Fractions for 536/629, 138/598 is 2/376142.