GCF of 6092/684, 7174/6722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6092/684, 7174/6722 i.e 2/2298924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6092/684, 7174/6722.
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 6092/684,7174/6722?
Given fractions are 6092/684,7174/6722
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 6092/684,7174/6722, numerators are 6092,7174
Denominators are 684,6722
The GCF of 6092,7174 is 2 .
LCM of 684,6722 is 2298924.
The greatest common factor of 6092/684,7174/6722 = [GCF of 6092,7174]/[LCM of 684,6722]= 2/2298924
Therefore, the GCF of 6092/684,7174/6722 is 2/2298924.
To find the highest common factor of 6092,7174, we have to find the factors of both numbers and list the highest common factor.
The factors of 6092 are 1, 2, 4, 1523, 3046, 6092
The factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174
The HCF of 6092,7174 is 2.
Lets's calculate GCF of 6092,7174
| 2 | 6092, 7174 |
| 3046, 3587 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6092,7174 By Matching Biggest Common Factor Method
Now, list down the factors of 6092
:1,2,4,1523,3046,6092
Now, list down the factors of 7174
:1,2,17,34,211,422,3587,7174
Greatest Common Factor
We found the factors 6092,7174 . The biggest common factor number is the GCF number.
So the greatest common factor 6092,7174 is 2.
Lets's calculate LCM of 684,6722
| 2 | 684, 6722 |
| 342, 3361 |
∴ So the LCM of the given numbers is 2 x 342 x 3361 = 2298924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2298924
Therefore, the GCF of Fractions 6092/684,7174/6722 is 2/2298924
Least Common Multiple of 684,6722 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 684,6722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,6722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(684,6722) x common factors =2 x 1 = 2
LCM(684,6722) = ( 684 × 6722 ) / 2
LCM(684,6722) = 4597848 / 2
LCM(684,6722) = 2298924
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FAQs on GCF of Fractions of 6092/684, 7174/6722
1. What is the HCF of 6092,7174?
The HCF of 6092,7174 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 6092/684, 7174/6722?
Answer: GCF of Numerators as per given numbers 6092/684, 7174/6722 is
GCF of Numerators i.e. for 6092,7174 is 2
LCM of denominators i.e. for 684,6722 is 2298924.
Thus, GCF of Fractions is 2/2298924.Finally, GCF of Fractions for 6092/684, 7174/6722 is 2/2298924.