GCF of 7678/586, 6541/4259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7678/586, 6541/4259 i.e 1/2495774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7678/586, 6541/4259.
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 7678/586,6541/4259?
Given fractions are 7678/586,6541/4259
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 7678/586,6541/4259, numerators are 7678,6541
Denominators are 586,4259
The GCF of 7678,6541 is 1 .
LCM of 586,4259 is 2495774.
The greatest common factor of 7678/586,6541/4259 = [GCF of 7678,6541]/[LCM of 586,4259]= 1/2495774
Therefore, the GCF of 7678/586,6541/4259 is 1/2495774.
To find the highest common factor of 7678,6541, we have to find the factors of both numbers and list the highest common factor.
The factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678
The factors of 6541 are 1, 31, 211, 6541
The HCF of 7678,6541 is 1.
Lets's calculate GCF of 7678,6541
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7678,6541 By Matching Biggest Common Factor Method
Now, list down the factors of 7678
:1,2,11,22,349,698,3839,7678
Now, list down the factors of 6541
:1,31,211,6541
Greatest Common Factor
We found the factors 7678,6541 . The biggest common factor number is the GCF number.
So the greatest common factor 7678,6541 is 1.
Lets's calculate LCM of 586,4259
Given numbers has no common factors except 1. So, there LCM is their product i.e 2495774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2495774
Therefore, the GCF of Fractions 7678/586,6541/4259 is 1/2495774
Least Common Multiple of 586,4259 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 586,4259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,4259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,4259) x common factors =1 x 1 = 1
LCM(586,4259) = ( 586 × 4259 ) / 1
LCM(586,4259) = 2495774 / 1
LCM(586,4259) = 2495774
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FAQs on GCF of Fractions of 7678/586, 6541/4259
1. What is the HCF of 7678,6541?
The HCF of 7678,6541 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 7678/586, 6541/4259?
Answer: GCF of Numerators as per given numbers 7678/586, 6541/4259 is
GCF of Numerators i.e. for 7678,6541 is 1
LCM of denominators i.e. for 586,4259 is 2495774.
Thus, GCF of Fractions is 1/2495774.Finally, GCF of Fractions for 7678/586, 6541/4259 is 1/2495774.