GCF of 5993/680, 7202/8098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5993/680, 7202/8098 i.e 13/2753320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5993/680, 7202/8098.
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 5993/680,7202/8098?
Given fractions are 5993/680,7202/8098
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 5993/680,7202/8098, numerators are 5993,7202
Denominators are 680,8098
The GCF of 5993,7202 is 13 .
LCM of 680,8098 is 2753320.
The greatest common factor of 5993/680,7202/8098 = [GCF of 5993,7202]/[LCM of 680,8098]= 13/2753320
Therefore, the GCF of 5993/680,7202/8098 is 13/2753320.
To find the highest common factor of 5993,7202, we have to find the factors of both numbers and list the highest common factor.
The factors of 5993 are 1, 13, 461, 5993
The factors of 7202 are 1, 2, 13, 26, 277, 554, 3601, 7202
The HCF of 5993,7202 is 13.
Lets's calculate GCF of 5993,7202
| 13 | 5993, 7202 |
| 461, 554 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5993,7202 By Matching Biggest Common Factor Method
Now, list down the factors of 5993
:1,13,461,5993
Now, list down the factors of 7202
:1,2,13,26,277,554,3601,7202
Greatest Common Factor
We found the factors 5993,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 5993,7202 is 13.
Lets's calculate LCM of 680,8098
| 2 | 680, 8098 |
| 340, 4049 |
∴ So the LCM of the given numbers is 2 x 340 x 4049 = 2753320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2753320
Therefore, the GCF of Fractions 5993/680,7202/8098 is 13/2753320
Least Common Multiple of 680,8098 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 680,8098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,8098) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(680,8098) x common factors =2 x 1 = 2
LCM(680,8098) = ( 680 × 8098 ) / 2
LCM(680,8098) = 5506640 / 2
LCM(680,8098) = 2753320
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FAQs on GCF of Fractions of 5993/680, 7202/8098
1. What is the HCF of 5993,7202?
The HCF of 5993,7202 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 5993/680, 7202/8098?
Answer: GCF of Numerators as per given numbers 5993/680, 7202/8098 is
GCF of Numerators i.e. for 5993,7202 is 13
LCM of denominators i.e. for 680,8098 is 2753320.
Thus, GCF of Fractions is 13/2753320.Finally, GCF of Fractions for 5993/680, 7202/8098 is 13/2753320.