GCF of 9574/635, 4479/6248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9574/635, 4479/6248 i.e 1/3967480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9574/635, 4479/6248.
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 9574/635,4479/6248?
Given fractions are 9574/635,4479/6248
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 9574/635,4479/6248, numerators are 9574,4479
Denominators are 635,6248
The GCF of 9574,4479 is 1 .
LCM of 635,6248 is 3967480.
The greatest common factor of 9574/635,4479/6248 = [GCF of 9574,4479]/[LCM of 635,6248]= 1/3967480
Therefore, the GCF of 9574/635,4479/6248 is 1/3967480.
To find the highest common factor of 9574,4479, we have to find the factors of both numbers and list the highest common factor.
The factors of 9574 are 1, 2, 4787, 9574
The factors of 4479 are 1, 3, 1493, 4479
The HCF of 9574,4479 is 1.
Lets's calculate GCF of 9574,4479
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9574,4479 By Matching Biggest Common Factor Method
Now, list down the factors of 9574
:1,2,4787,9574
Now, list down the factors of 4479
:1,3,1493,4479
Greatest Common Factor
We found the factors 9574,4479 . The biggest common factor number is the GCF number.
So the greatest common factor 9574,4479 is 1.
Lets's calculate LCM of 635,6248
Given numbers has no common factors except 1. So, there LCM is their product i.e 3967480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3967480
Therefore, the GCF of Fractions 9574/635,4479/6248 is 1/3967480
Least Common Multiple of 635,6248 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 635,6248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,6248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,6248) x common factors =1 x 1 = 1
LCM(635,6248) = ( 635 × 6248 ) / 1
LCM(635,6248) = 3967480 / 1
LCM(635,6248) = 3967480
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FAQs on GCF of Fractions of 9574/635, 4479/6248
1. What is the HCF of 9574,4479?
The HCF of 9574,4479 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 9574/635, 4479/6248?
Answer: GCF of Numerators as per given numbers 9574/635, 4479/6248 is
GCF of Numerators i.e. for 9574,4479 is 1
LCM of denominators i.e. for 635,6248 is 3967480.
Thus, GCF of Fractions is 1/3967480.Finally, GCF of Fractions for 9574/635, 4479/6248 is 1/3967480.