GCF of 7630/723, 6761/1647
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7630/723, 6761/1647 i.e 1/396927 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7630/723, 6761/1647.
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 7630/723,6761/1647?
Given fractions are 7630/723,6761/1647
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 7630/723,6761/1647, numerators are 7630,6761
Denominators are 723,1647
The GCF of 7630,6761 is 1 .
LCM of 723,1647 is 396927.
The greatest common factor of 7630/723,6761/1647 = [GCF of 7630,6761]/[LCM of 723,1647]= 1/396927
Therefore, the GCF of 7630/723,6761/1647 is 1/396927.
To find the highest common factor of 7630,6761, we have to find the factors of both numbers and list the highest common factor.
The factors of 7630 are 1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630
The factors of 6761 are 1, 6761
The HCF of 7630,6761 is 1.
Lets's calculate GCF of 7630,6761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7630,6761 By Matching Biggest Common Factor Method
Now, list down the factors of 7630
:1,2,5,7,10,14,35,70,109,218,545,763,1090,1526,3815,7630
Now, list down the factors of 6761
:1,6761
Greatest Common Factor
We found the factors 7630,6761 . The biggest common factor number is the GCF number.
So the greatest common factor 7630,6761 is 1.
Lets's calculate LCM of 723,1647
| 3 | 723, 1647 |
| 241, 549 |
∴ So the LCM of the given numbers is 3 x 241 x 549 = 396927
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/396927
Therefore, the GCF of Fractions 7630/723,6761/1647 is 1/396927
Least Common Multiple of 723,1647 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 723,1647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,1647) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,1647) x common factors =3 x 1 = 3
LCM(723,1647) = ( 723 × 1647 ) / 3
LCM(723,1647) = 1190781 / 3
LCM(723,1647) = 396927
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FAQs on GCF of Fractions of 7630/723, 6761/1647
1. What is the HCF of 7630,6761?
The HCF of 7630,6761 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 7630/723, 6761/1647?
Answer: GCF of Numerators as per given numbers 7630/723, 6761/1647 is
GCF of Numerators i.e. for 7630,6761 is 1
LCM of denominators i.e. for 723,1647 is 396927.
Thus, GCF of Fractions is 1/396927.Finally, GCF of Fractions for 7630/723, 6761/1647 is 1/396927.