GCF of 4574/968, 3519/1957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4574/968, 3519/1957 i.e 1/1894376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4574/968, 3519/1957.
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 4574/968,3519/1957?
Given fractions are 4574/968,3519/1957
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 4574/968,3519/1957, numerators are 4574,3519
Denominators are 968,1957
The GCF of 4574,3519 is 1 .
LCM of 968,1957 is 1894376.
The greatest common factor of 4574/968,3519/1957 = [GCF of 4574,3519]/[LCM of 968,1957]= 1/1894376
Therefore, the GCF of 4574/968,3519/1957 is 1/1894376.
To find the highest common factor of 4574,3519, we have to find the factors of both numbers and list the highest common factor.
The factors of 4574 are 1, 2, 2287, 4574
The factors of 3519 are 1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173, 3519
The HCF of 4574,3519 is 1.
Lets's calculate GCF of 4574,3519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4574,3519 By Matching Biggest Common Factor Method
Now, list down the factors of 4574
:1,2,2287,4574
Now, list down the factors of 3519
:1,3,9,17,23,51,69,153,207,391,1173,3519
Greatest Common Factor
We found the factors 4574,3519 . The biggest common factor number is the GCF number.
So the greatest common factor 4574,3519 is 1.
Lets's calculate LCM of 968,1957
Given numbers has no common factors except 1. So, there LCM is their product i.e 1894376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1894376
Therefore, the GCF of Fractions 4574/968,3519/1957 is 1/1894376
Least Common Multiple of 968,1957 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 968,1957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,1957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,1957) x common factors =1 x 1 = 1
LCM(968,1957) = ( 968 × 1957 ) / 1
LCM(968,1957) = 1894376 / 1
LCM(968,1957) = 1894376
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FAQs on GCF of Fractions of 4574/968, 3519/1957
1. What is the HCF of 4574,3519?
The HCF of 4574,3519 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 4574/968, 3519/1957?
Answer: GCF of Numerators as per given numbers 4574/968, 3519/1957 is
GCF of Numerators i.e. for 4574,3519 is 1
LCM of denominators i.e. for 968,1957 is 1894376.
Thus, GCF of Fractions is 1/1894376.Finally, GCF of Fractions for 4574/968, 3519/1957 is 1/1894376.