GCF of 8097/746, 6979/7162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8097/746, 6979/7162 i.e 1/2671426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8097/746, 6979/7162.
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 8097/746,6979/7162?
Given fractions are 8097/746,6979/7162
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 8097/746,6979/7162, numerators are 8097,6979
Denominators are 746,7162
The GCF of 8097,6979 is 1 .
LCM of 746,7162 is 2671426.
The greatest common factor of 8097/746,6979/7162 = [GCF of 8097,6979]/[LCM of 746,7162]= 1/2671426
Therefore, the GCF of 8097/746,6979/7162 is 1/2671426.
To find the highest common factor of 8097,6979, we have to find the factors of both numbers and list the highest common factor.
The factors of 8097 are 1, 3, 2699, 8097
The factors of 6979 are 1, 7, 997, 6979
The HCF of 8097,6979 is 1.
Lets's calculate GCF of 8097,6979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8097,6979 By Matching Biggest Common Factor Method
Now, list down the factors of 8097
:1,3,2699,8097
Now, list down the factors of 6979
:1,7,997,6979
Greatest Common Factor
We found the factors 8097,6979 . The biggest common factor number is the GCF number.
So the greatest common factor 8097,6979 is 1.
Lets's calculate LCM of 746,7162
| 2 | 746, 7162 |
| 373, 3581 |
∴ So the LCM of the given numbers is 2 x 373 x 3581 = 2671426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2671426
Therefore, the GCF of Fractions 8097/746,6979/7162 is 1/2671426
Least Common Multiple of 746,7162 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 746,7162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,7162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,7162) x common factors =2 x 1 = 2
LCM(746,7162) = ( 746 × 7162 ) / 2
LCM(746,7162) = 5342852 / 2
LCM(746,7162) = 2671426
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FAQs on GCF of Fractions of 8097/746, 6979/7162
1. What is the HCF of 8097,6979?
The HCF of 8097,6979 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 8097/746, 6979/7162?
Answer: GCF of Numerators as per given numbers 8097/746, 6979/7162 is
GCF of Numerators i.e. for 8097,6979 is 1
LCM of denominators i.e. for 746,7162 is 2671426.
Thus, GCF of Fractions is 1/2671426.Finally, GCF of Fractions for 8097/746, 6979/7162 is 1/2671426.