GCF of 7027/816, 6715/2138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7027/816, 6715/2138 i.e 1/872304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7027/816, 6715/2138.
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 7027/816,6715/2138?
Given fractions are 7027/816,6715/2138
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 7027/816,6715/2138, numerators are 7027,6715
Denominators are 816,2138
The GCF of 7027,6715 is 1 .
LCM of 816,2138 is 872304.
The greatest common factor of 7027/816,6715/2138 = [GCF of 7027,6715]/[LCM of 816,2138]= 1/872304
Therefore, the GCF of 7027/816,6715/2138 is 1/872304.
To find the highest common factor of 7027,6715, we have to find the factors of both numbers and list the highest common factor.
The factors of 7027 are 1, 7027
The factors of 6715 are 1, 5, 17, 79, 85, 395, 1343, 6715
The HCF of 7027,6715 is 1.
Lets's calculate GCF of 7027,6715
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7027,6715 By Matching Biggest Common Factor Method
Now, list down the factors of 7027
:1,7027
Now, list down the factors of 6715
:1,5,17,79,85,395,1343,6715
Greatest Common Factor
We found the factors 7027,6715 . The biggest common factor number is the GCF number.
So the greatest common factor 7027,6715 is 1.
Lets's calculate LCM of 816,2138
| 2 | 816, 2138 |
| 408, 1069 |
∴ So the LCM of the given numbers is 2 x 408 x 1069 = 872304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/872304
Therefore, the GCF of Fractions 7027/816,6715/2138 is 1/872304
Least Common Multiple of 816,2138 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 816,2138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,2138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(816,2138) x common factors =2 x 1 = 2
LCM(816,2138) = ( 816 × 2138 ) / 2
LCM(816,2138) = 1744608 / 2
LCM(816,2138) = 872304
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FAQs on GCF of Fractions of 7027/816, 6715/2138
1. What is the HCF of 7027,6715?
The HCF of 7027,6715 is 1
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 7027/816, 6715/2138?
Answer: GCF of Numerators as per given numbers 7027/816, 6715/2138 is
GCF of Numerators i.e. for 7027,6715 is 1
LCM of denominators i.e. for 816,2138 is 872304.
Thus, GCF of Fractions is 1/872304.Finally, GCF of Fractions for 7027/816, 6715/2138 is 1/872304.