GCF of 8742/335, 1829/6491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8742/335, 1829/6491 i.e 31/2174485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8742/335, 1829/6491.
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 8742/335,1829/6491?
Given fractions are 8742/335,1829/6491
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 8742/335,1829/6491, numerators are 8742,1829
Denominators are 335,6491
The GCF of 8742,1829 is 31 .
LCM of 335,6491 is 2174485.
The greatest common factor of 8742/335,1829/6491 = [GCF of 8742,1829]/[LCM of 335,6491]= 31/2174485
Therefore, the GCF of 8742/335,1829/6491 is 31/2174485.
To find the highest common factor of 8742,1829, we have to find the factors of both numbers and list the highest common factor.
The factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742
The factors of 1829 are 1, 31, 59, 1829
The HCF of 8742,1829 is 31.
Lets's calculate GCF of 8742,1829
| 31 | 8742, 1829 |
| 282, 59 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 8742,1829 By Matching Biggest Common Factor Method
Now, list down the factors of 8742
:1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742
Now, list down the factors of 1829
:1,31,59,1829
Greatest Common Factor
We found the factors 8742,1829 . The biggest common factor number is the GCF number.
So the greatest common factor 8742,1829 is 31.
Lets's calculate LCM of 335,6491
Given numbers has no common factors except 1. So, there LCM is their product i.e 2174485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/2174485
Therefore, the GCF of Fractions 8742/335,1829/6491 is 31/2174485
Least Common Multiple of 335,6491 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 335,6491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,6491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,6491) x common factors =1 x 1 = 1
LCM(335,6491) = ( 335 × 6491 ) / 1
LCM(335,6491) = 2174485 / 1
LCM(335,6491) = 2174485
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FAQs on GCF of Fractions of 8742/335, 1829/6491
1. What is the HCF of 8742,1829?
The HCF of 8742,1829 is 31
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 8742/335, 1829/6491?
Answer: GCF of Numerators as per given numbers 8742/335, 1829/6491 is
GCF of Numerators i.e. for 8742,1829 is 31
LCM of denominators i.e. for 335,6491 is 2174485.
Thus, GCF of Fractions is 31/2174485.Finally, GCF of Fractions for 8742/335, 1829/6491 is 31/2174485.