GCF of 1736/173, 5618/6121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1736/173, 5618/6121 i.e 2/1058933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1736/173, 5618/6121.
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 1736/173,5618/6121?
Given fractions are 1736/173,5618/6121
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 1736/173,5618/6121, numerators are 1736,5618
Denominators are 173,6121
The GCF of 1736,5618 is 2 .
LCM of 173,6121 is 1058933.
The greatest common factor of 1736/173,5618/6121 = [GCF of 1736,5618]/[LCM of 173,6121]= 2/1058933
Therefore, the GCF of 1736/173,5618/6121 is 2/1058933.
To find the highest common factor of 1736,5618, we have to find the factors of both numbers and list the highest common factor.
The factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736
The factors of 5618 are 1, 2, 53, 106, 2809, 5618
The HCF of 1736,5618 is 2.
Lets's calculate GCF of 1736,5618
| 2 | 1736, 5618 |
| 868, 2809 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1736,5618 By Matching Biggest Common Factor Method
Now, list down the factors of 1736
:1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736
Now, list down the factors of 5618
:1,2,53,106,2809,5618
Greatest Common Factor
We found the factors 1736,5618 . The biggest common factor number is the GCF number.
So the greatest common factor 1736,5618 is 2.
Lets's calculate LCM of 173,6121
Given numbers has no common factors except 1. So, there LCM is their product i.e 1058933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1058933
Therefore, the GCF of Fractions 1736/173,5618/6121 is 2/1058933
Least Common Multiple of 173,6121 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 173,6121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,6121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,6121) x common factors =1 x 1 = 1
LCM(173,6121) = ( 173 × 6121 ) / 1
LCM(173,6121) = 1058933 / 1
LCM(173,6121) = 1058933
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FAQs on GCF of Fractions of 1736/173, 5618/6121
1. What is the HCF of 1736,5618?
The HCF of 1736,5618 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 1736/173, 5618/6121?
Answer: GCF of Numerators as per given numbers 1736/173, 5618/6121 is
GCF of Numerators i.e. for 1736,5618 is 2
LCM of denominators i.e. for 173,6121 is 1058933.
Thus, GCF of Fractions is 2/1058933.Finally, GCF of Fractions for 1736/173, 5618/6121 is 2/1058933.