GCF of 7816/492, 7182/842
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7816/492, 7182/842 i.e 2/207132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7816/492, 7182/842.
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 7816/492,7182/842?
Given fractions are 7816/492,7182/842
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 7816/492,7182/842, numerators are 7816,7182
Denominators are 492,842
The GCF of 7816,7182 is 2 .
LCM of 492,842 is 207132.
The greatest common factor of 7816/492,7182/842 = [GCF of 7816,7182]/[LCM of 492,842]= 2/207132
Therefore, the GCF of 7816/492,7182/842 is 2/207132.
To find the highest common factor of 7816,7182, we have to find the factors of both numbers and list the highest common factor.
The factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816
The factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182
The HCF of 7816,7182 is 2.
Lets's calculate GCF of 7816,7182
| 2 | 7816, 7182 |
| 3908, 3591 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7816,7182 By Matching Biggest Common Factor Method
Now, list down the factors of 7816
:1,2,4,8,977,1954,3908,7816
Now, list down the factors of 7182
:1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182
Greatest Common Factor
We found the factors 7816,7182 . The biggest common factor number is the GCF number.
So the greatest common factor 7816,7182 is 2.
Lets's calculate LCM of 492,842
| 2 | 492, 842 |
| 246, 421 |
∴ So the LCM of the given numbers is 2 x 246 x 421 = 207132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/207132
Therefore, the GCF of Fractions 7816/492,7182/842 is 2/207132
Least Common Multiple of 492,842 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 492,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(492,842) x common factors =2 x 1 = 2
LCM(492,842) = ( 492 × 842 ) / 2
LCM(492,842) = 414264 / 2
LCM(492,842) = 207132
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7816/492, 7182/842
1. What is the HCF of 7816,7182?
The HCF of 7816,7182 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 7816/492, 7182/842?
Answer: GCF of Numerators as per given numbers 7816/492, 7182/842 is
GCF of Numerators i.e. for 7816,7182 is 2
LCM of denominators i.e. for 492,842 is 207132.
Thus, GCF of Fractions is 2/207132.Finally, GCF of Fractions for 7816/492, 7182/842 is 2/207132.