GCF of 7719/687, 3141/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7719/687, 3141/461 i.e 3/316707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7719/687, 3141/461.
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 7719/687,3141/461?
Given fractions are 7719/687,3141/461
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 7719/687,3141/461, numerators are 7719,3141
Denominators are 687,461
The GCF of 7719,3141 is 3 .
LCM of 687,461 is 316707.
The greatest common factor of 7719/687,3141/461 = [GCF of 7719,3141]/[LCM of 687,461]= 3/316707
Therefore, the GCF of 7719/687,3141/461 is 3/316707.
To find the highest common factor of 7719,3141, we have to find the factors of both numbers and list the highest common factor.
The factors of 7719 are 1, 3, 31, 83, 93, 249, 2573, 7719
The factors of 3141 are 1, 3, 9, 349, 1047, 3141
The HCF of 7719,3141 is 3.
Lets's calculate GCF of 7719,3141
| 3 | 7719, 3141 |
| 2573, 1047 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7719,3141 By Matching Biggest Common Factor Method
Now, list down the factors of 7719
:1,3,31,83,93,249,2573,7719
Now, list down the factors of 3141
:1,3,9,349,1047,3141
Greatest Common Factor
We found the factors 7719,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 7719,3141 is 3.
Lets's calculate LCM of 687,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 316707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/316707
Therefore, the GCF of Fractions 7719/687,3141/461 is 3/316707
Least Common Multiple of 687,461 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 687,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,461) x common factors =1 x 1 = 1
LCM(687,461) = ( 687 × 461 ) / 1
LCM(687,461) = 316707 / 1
LCM(687,461) = 316707
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FAQs on GCF of Fractions of 7719/687, 3141/461
1. What is the HCF of 7719,3141?
The HCF of 7719,3141 is 3
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 7719/687, 3141/461?
Answer: GCF of Numerators as per given numbers 7719/687, 3141/461 is
GCF of Numerators i.e. for 7719,3141 is 3
LCM of denominators i.e. for 687,461 is 316707.
Thus, GCF of Fractions is 3/316707.Finally, GCF of Fractions for 7719/687, 3141/461 is 3/316707.