GCF of 8754/335, 2142/6362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8754/335, 2142/6362 i.e 6/2131270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8754/335, 2142/6362.
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 8754/335,2142/6362?
Given fractions are 8754/335,2142/6362
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 8754/335,2142/6362, numerators are 8754,2142
Denominators are 335,6362
The GCF of 8754,2142 is 6 .
LCM of 335,6362 is 2131270.
The greatest common factor of 8754/335,2142/6362 = [GCF of 8754,2142]/[LCM of 335,6362]= 6/2131270
Therefore, the GCF of 8754/335,2142/6362 is 6/2131270.
To find the highest common factor of 8754,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The HCF of 8754,2142 is 6.
Lets's calculate GCF of 8754,2142
| 2 | 8754, 2142 |
| 3 | 4377, 1071 |
| 1459, 357 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8754,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 8754
:1,2,3,6,1459,2918,4377,8754
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Greatest Common Factor
We found the factors 8754,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 8754,2142 is 6.
Lets's calculate LCM of 335,6362
Given numbers has no common factors except 1. So, there LCM is their product i.e 2131270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2131270
Therefore, the GCF of Fractions 8754/335,2142/6362 is 6/2131270
Least Common Multiple of 335,6362 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 335,6362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,6362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,6362) x common factors =1 x 1 = 1
LCM(335,6362) = ( 335 × 6362 ) / 1
LCM(335,6362) = 2131270 / 1
LCM(335,6362) = 2131270
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FAQs on GCF of Fractions of 8754/335, 2142/6362
1. What is the HCF of 8754,2142?
The HCF of 8754,2142 is 6
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 8754/335, 2142/6362?
Answer: GCF of Numerators as per given numbers 8754/335, 2142/6362 is
GCF of Numerators i.e. for 8754,2142 is 6
LCM of denominators i.e. for 335,6362 is 2131270.
Thus, GCF of Fractions is 6/2131270.Finally, GCF of Fractions for 8754/335, 2142/6362 is 6/2131270.