GCF of 5346/342, 7085/234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5346/342, 7085/234 i.e 1/4446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5346/342, 7085/234.
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 5346/342,7085/234?
Given fractions are 5346/342,7085/234
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 5346/342,7085/234, numerators are 5346,7085
Denominators are 342,234
The GCF of 5346,7085 is 1 .
LCM of 342,234 is 4446.
The greatest common factor of 5346/342,7085/234 = [GCF of 5346,7085]/[LCM of 342,234]= 1/4446
Therefore, the GCF of 5346/342,7085/234 is 1/4446.
To find the highest common factor of 5346,7085, we have to find the factors of both numbers and list the highest common factor.
The factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346
The factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085
The HCF of 5346,7085 is 1.
Lets's calculate GCF of 5346,7085
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5346,7085 By Matching Biggest Common Factor Method
Now, list down the factors of 5346
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Now, list down the factors of 7085
:1,5,13,65,109,545,1417,7085
Greatest Common Factor
We found the factors 5346,7085 . The biggest common factor number is the GCF number.
So the greatest common factor 5346,7085 is 1.
Lets's calculate LCM of 342,234
| 2 | 342, 234 |
| 3 | 171, 117 |
| 3 | 57, 39 |
| 19, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 13 = 4446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4446
Therefore, the GCF of Fractions 5346/342,7085/234 is 1/4446
Least Common Multiple of 342,234 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 342,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,234) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(342,234) x common factors =18 x 1 = 18
LCM(342,234) = ( 342 × 234 ) / 18
LCM(342,234) = 80028 / 18
LCM(342,234) = 4446
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FAQs on GCF of Fractions of 5346/342, 7085/234
1. What is the HCF of 5346,7085?
The HCF of 5346,7085 is 1
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 5346/342, 7085/234?
Answer: GCF of Numerators as per given numbers 5346/342, 7085/234 is
GCF of Numerators i.e. for 5346,7085 is 1
LCM of denominators i.e. for 342,234 is 4446.
Thus, GCF of Fractions is 1/4446.Finally, GCF of Fractions for 5346/342, 7085/234 is 1/4446.