GCF of 4355/675, 4324/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4355/675, 4324/274 i.e 1/184950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4355/675, 4324/274.
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 4355/675,4324/274?
Given fractions are 4355/675,4324/274
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 4355/675,4324/274, numerators are 4355,4324
Denominators are 675,274
The GCF of 4355,4324 is 1 .
LCM of 675,274 is 184950.
The greatest common factor of 4355/675,4324/274 = [GCF of 4355,4324]/[LCM of 675,274]= 1/184950
Therefore, the GCF of 4355/675,4324/274 is 1/184950.
To find the highest common factor of 4355,4324, we have to find the factors of both numbers and list the highest common factor.
The factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355
The factors of 4324 are 1, 2, 4, 23, 46, 47, 92, 94, 188, 1081, 2162, 4324
The HCF of 4355,4324 is 1.
Lets's calculate GCF of 4355,4324
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4355,4324 By Matching Biggest Common Factor Method
Now, list down the factors of 4355
:1,5,13,65,67,335,871,4355
Now, list down the factors of 4324
:1,2,4,23,46,47,92,94,188,1081,2162,4324
Greatest Common Factor
We found the factors 4355,4324 . The biggest common factor number is the GCF number.
So the greatest common factor 4355,4324 is 1.
Lets's calculate LCM of 675,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 184950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184950
Therefore, the GCF of Fractions 4355/675,4324/274 is 1/184950
Least Common Multiple of 675,274 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 675,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,274) x common factors =1 x 1 = 1
LCM(675,274) = ( 675 × 274 ) / 1
LCM(675,274) = 184950 / 1
LCM(675,274) = 184950
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FAQs on GCF of Fractions of 4355/675, 4324/274
1. What is the HCF of 4355,4324?
The HCF of 4355,4324 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 4355/675, 4324/274?
Answer: GCF of Numerators as per given numbers 4355/675, 4324/274 is
GCF of Numerators i.e. for 4355,4324 is 1
LCM of denominators i.e. for 675,274 is 184950.
Thus, GCF of Fractions is 1/184950.Finally, GCF of Fractions for 4355/675, 4324/274 is 1/184950.