GCF of 7719/313, 2134/6939
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7719/313, 2134/6939 i.e 1/2171907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7719/313, 2134/6939.
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 7719/313,2134/6939?
Given fractions are 7719/313,2134/6939
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 7719/313,2134/6939, numerators are 7719,2134
Denominators are 313,6939
The GCF of 7719,2134 is 1 .
LCM of 313,6939 is 2171907.
The greatest common factor of 7719/313,2134/6939 = [GCF of 7719,2134]/[LCM of 313,6939]= 1/2171907
Therefore, the GCF of 7719/313,2134/6939 is 1/2171907.
To find the highest common factor of 7719,2134, 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 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134
The HCF of 7719,2134 is 1.
Lets's calculate GCF of 7719,2134
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7719,2134 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 2134
:1,2,11,22,97,194,1067,2134
Greatest Common Factor
We found the factors 7719,2134 . The biggest common factor number is the GCF number.
So the greatest common factor 7719,2134 is 1.
Lets's calculate LCM of 313,6939
Given numbers has no common factors except 1. So, there LCM is their product i.e 2171907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2171907
Therefore, the GCF of Fractions 7719/313,2134/6939 is 1/2171907
Least Common Multiple of 313,6939 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 313,6939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,6939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,6939) x common factors =1 x 1 = 1
LCM(313,6939) = ( 313 × 6939 ) / 1
LCM(313,6939) = 2171907 / 1
LCM(313,6939) = 2171907
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FAQs on GCF of Fractions of 7719/313, 2134/6939
1. What is the HCF of 7719,2134?
The HCF of 7719,2134 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 7719/313, 2134/6939?
Answer: GCF of Numerators as per given numbers 7719/313, 2134/6939 is
GCF of Numerators i.e. for 7719,2134 is 1
LCM of denominators i.e. for 313,6939 is 2171907.
Thus, GCF of Fractions is 1/2171907.Finally, GCF of Fractions for 7719/313, 2134/6939 is 1/2171907.