GCF of 7679/73, 2070/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7679/73, 2070/369 i.e 1/26937 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7679/73, 2070/369.
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 7679/73,2070/369?
Given fractions are 7679/73,2070/369
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 7679/73,2070/369, numerators are 7679,2070
Denominators are 73,369
The GCF of 7679,2070 is 1 .
LCM of 73,369 is 26937.
The greatest common factor of 7679/73,2070/369 = [GCF of 7679,2070]/[LCM of 73,369]= 1/26937
Therefore, the GCF of 7679/73,2070/369 is 1/26937.
To find the highest common factor of 7679,2070, we have to find the factors of both numbers and list the highest common factor.
The factors of 7679 are 1, 7, 1097, 7679
The factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070
The HCF of 7679,2070 is 1.
Lets's calculate GCF of 7679,2070
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7679,2070 By Matching Biggest Common Factor Method
Now, list down the factors of 7679
:1,7,1097,7679
Now, list down the factors of 2070
:1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Greatest Common Factor
We found the factors 7679,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 7679,2070 is 1.
Lets's calculate LCM of 73,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 26937
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26937
Therefore, the GCF of Fractions 7679/73,2070/369 is 1/26937
Least Common Multiple of 73,369 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 73,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,369) x common factors =1 x 1 = 1
LCM(73,369) = ( 73 × 369 ) / 1
LCM(73,369) = 26937 / 1
LCM(73,369) = 26937
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FAQs on GCF of Fractions of 7679/73, 2070/369
1. What is the HCF of 7679,2070?
The HCF of 7679,2070 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 7679/73, 2070/369?
Answer: GCF of Numerators as per given numbers 7679/73, 2070/369 is
GCF of Numerators i.e. for 7679,2070 is 1
LCM of denominators i.e. for 73,369 is 26937.
Thus, GCF of Fractions is 1/26937.Finally, GCF of Fractions for 7679/73, 2070/369 is 1/26937.