GCF of 4182/362, 7886/2734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4182/362, 7886/2734 i.e 2/494854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4182/362, 7886/2734.
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 4182/362,7886/2734?
Given fractions are 4182/362,7886/2734
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 4182/362,7886/2734, numerators are 4182,7886
Denominators are 362,2734
The GCF of 4182,7886 is 2 .
LCM of 362,2734 is 494854.
The greatest common factor of 4182/362,7886/2734 = [GCF of 4182,7886]/[LCM of 362,2734]= 2/494854
Therefore, the GCF of 4182/362,7886/2734 is 2/494854.
To find the highest common factor of 4182,7886, we have to find the factors of both numbers and list the highest common factor.
The factors of 4182 are 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182
The factors of 7886 are 1, 2, 3943, 7886
The HCF of 4182,7886 is 2.
Lets's calculate GCF of 4182,7886
| 2 | 4182, 7886 |
| 2091, 3943 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4182,7886 By Matching Biggest Common Factor Method
Now, list down the factors of 4182
:1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182
Now, list down the factors of 7886
:1,2,3943,7886
Greatest Common Factor
We found the factors 4182,7886 . The biggest common factor number is the GCF number.
So the greatest common factor 4182,7886 is 2.
Lets's calculate LCM of 362,2734
| 2 | 362, 2734 |
| 181, 1367 |
∴ So the LCM of the given numbers is 2 x 181 x 1367 = 494854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/494854
Therefore, the GCF of Fractions 4182/362,7886/2734 is 2/494854
Least Common Multiple of 362,2734 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 362,2734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,2734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,2734) x common factors =2 x 1 = 2
LCM(362,2734) = ( 362 × 2734 ) / 2
LCM(362,2734) = 989708 / 2
LCM(362,2734) = 494854
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FAQs on GCF of Fractions of 4182/362, 7886/2734
1. What is the HCF of 4182,7886?
The HCF of 4182,7886 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 4182/362, 7886/2734?
Answer: GCF of Numerators as per given numbers 4182/362, 7886/2734 is
GCF of Numerators i.e. for 4182,7886 is 2
LCM of denominators i.e. for 362,2734 is 494854.
Thus, GCF of Fractions is 2/494854.Finally, GCF of Fractions for 4182/362, 7886/2734 is 2/494854.