GCF of 7074/457, 7816/3166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7074/457, 7816/3166 i.e 2/1446862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7074/457, 7816/3166.
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 7074/457,7816/3166?
Given fractions are 7074/457,7816/3166
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 7074/457,7816/3166, numerators are 7074,7816
Denominators are 457,3166
The GCF of 7074,7816 is 2 .
LCM of 457,3166 is 1446862.
The greatest common factor of 7074/457,7816/3166 = [GCF of 7074,7816]/[LCM of 457,3166]= 2/1446862
Therefore, the GCF of 7074/457,7816/3166 is 2/1446862.
To find the highest common factor of 7074,7816, we have to find the factors of both numbers and list the highest common factor.
The factors of 7074 are 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074
The factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816
The HCF of 7074,7816 is 2.
Lets's calculate GCF of 7074,7816
| 2 | 7074, 7816 |
| 3537, 3908 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7074,7816 By Matching Biggest Common Factor Method
Now, list down the factors of 7074
:1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074
Now, list down the factors of 7816
:1,2,4,8,977,1954,3908,7816
Greatest Common Factor
We found the factors 7074,7816 . The biggest common factor number is the GCF number.
So the greatest common factor 7074,7816 is 2.
Lets's calculate LCM of 457,3166
Given numbers has no common factors except 1. So, there LCM is their product i.e 1446862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1446862
Therefore, the GCF of Fractions 7074/457,7816/3166 is 2/1446862
Least Common Multiple of 457,3166 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 457,3166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,3166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,3166) x common factors =1 x 1 = 1
LCM(457,3166) = ( 457 × 3166 ) / 1
LCM(457,3166) = 1446862 / 1
LCM(457,3166) = 1446862
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FAQs on GCF of Fractions of 7074/457, 7816/3166
1. What is the HCF of 7074,7816?
The HCF of 7074,7816 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 7074/457, 7816/3166?
Answer: GCF of Numerators as per given numbers 7074/457, 7816/3166 is
GCF of Numerators i.e. for 7074,7816 is 2
LCM of denominators i.e. for 457,3166 is 1446862.
Thus, GCF of Fractions is 2/1446862.Finally, GCF of Fractions for 7074/457, 7816/3166 is 2/1446862.