GCF of 4115/784, 7293/6949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4115/784, 7293/6949 i.e 1/5448016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4115/784, 7293/6949.
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 4115/784,7293/6949?
Given fractions are 4115/784,7293/6949
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 4115/784,7293/6949, numerators are 4115,7293
Denominators are 784,6949
The GCF of 4115,7293 is 1 .
LCM of 784,6949 is 5448016.
The greatest common factor of 4115/784,7293/6949 = [GCF of 4115,7293]/[LCM of 784,6949]= 1/5448016
Therefore, the GCF of 4115/784,7293/6949 is 1/5448016.
To find the highest common factor of 4115,7293, we have to find the factors of both numbers and list the highest common factor.
The factors of 4115 are 1, 5, 823, 4115
The factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293
The HCF of 4115,7293 is 1.
Lets's calculate GCF of 4115,7293
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4115,7293 By Matching Biggest Common Factor Method
Now, list down the factors of 4115
:1,5,823,4115
Now, list down the factors of 7293
:1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293
Greatest Common Factor
We found the factors 4115,7293 . The biggest common factor number is the GCF number.
So the greatest common factor 4115,7293 is 1.
Lets's calculate LCM of 784,6949
Given numbers has no common factors except 1. So, there LCM is their product i.e 5448016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5448016
Therefore, the GCF of Fractions 4115/784,7293/6949 is 1/5448016
Least Common Multiple of 784,6949 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 784,6949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,6949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,6949) x common factors =1 x 1 = 1
LCM(784,6949) = ( 784 × 6949 ) / 1
LCM(784,6949) = 5448016 / 1
LCM(784,6949) = 5448016
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FAQs on GCF of Fractions of 4115/784, 7293/6949
1. What is the HCF of 4115,7293?
The HCF of 4115,7293 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 4115/784, 7293/6949?
Answer: GCF of Numerators as per given numbers 4115/784, 7293/6949 is
GCF of Numerators i.e. for 4115,7293 is 1
LCM of denominators i.e. for 784,6949 is 5448016.
Thus, GCF of Fractions is 1/5448016.Finally, GCF of Fractions for 4115/784, 7293/6949 is 1/5448016.