GCF of 4935/574, 6329/7515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4935/574, 6329/7515 i.e 1/4313610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4935/574, 6329/7515.
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 4935/574,6329/7515?
Given fractions are 4935/574,6329/7515
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 4935/574,6329/7515, numerators are 4935,6329
Denominators are 574,7515
The GCF of 4935,6329 is 1 .
LCM of 574,7515 is 4313610.
The greatest common factor of 4935/574,6329/7515 = [GCF of 4935,6329]/[LCM of 574,7515]= 1/4313610
Therefore, the GCF of 4935/574,6329/7515 is 1/4313610.
To find the highest common factor of 4935,6329, we have to find the factors of both numbers and list the highest common factor.
The factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935
The factors of 6329 are 1, 6329
The HCF of 4935,6329 is 1.
Lets's calculate GCF of 4935,6329
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4935,6329 By Matching Biggest Common Factor Method
Now, list down the factors of 4935
:1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935
Now, list down the factors of 6329
:1,6329
Greatest Common Factor
We found the factors 4935,6329 . The biggest common factor number is the GCF number.
So the greatest common factor 4935,6329 is 1.
Lets's calculate LCM of 574,7515
Given numbers has no common factors except 1. So, there LCM is their product i.e 4313610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4313610
Therefore, the GCF of Fractions 4935/574,6329/7515 is 1/4313610
Least Common Multiple of 574,7515 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 574,7515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,7515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(574,7515) x common factors =1 x 1 = 1
LCM(574,7515) = ( 574 × 7515 ) / 1
LCM(574,7515) = 4313610 / 1
LCM(574,7515) = 4313610
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FAQs on GCF of Fractions of 4935/574, 6329/7515
1. What is the HCF of 4935,6329?
The HCF of 4935,6329 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 4935/574, 6329/7515?
Answer: GCF of Numerators as per given numbers 4935/574, 6329/7515 is
GCF of Numerators i.e. for 4935,6329 is 1
LCM of denominators i.e. for 574,7515 is 4313610.
Thus, GCF of Fractions is 1/4313610.Finally, GCF of Fractions for 4935/574, 6329/7515 is 1/4313610.