GCF of 4359/122, 3287/7079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4359/122, 3287/7079 i.e 1/863638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4359/122, 3287/7079.
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 4359/122,3287/7079?
Given fractions are 4359/122,3287/7079
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 4359/122,3287/7079, numerators are 4359,3287
Denominators are 122,7079
The GCF of 4359,3287 is 1 .
LCM of 122,7079 is 863638.
The greatest common factor of 4359/122,3287/7079 = [GCF of 4359,3287]/[LCM of 122,7079]= 1/863638
Therefore, the GCF of 4359/122,3287/7079 is 1/863638.
To find the highest common factor of 4359,3287, we have to find the factors of both numbers and list the highest common factor.
The factors of 4359 are 1, 3, 1453, 4359
The factors of 3287 are 1, 19, 173, 3287
The HCF of 4359,3287 is 1.
Lets's calculate GCF of 4359,3287
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4359,3287 By Matching Biggest Common Factor Method
Now, list down the factors of 4359
:1,3,1453,4359
Now, list down the factors of 3287
:1,19,173,3287
Greatest Common Factor
We found the factors 4359,3287 . The biggest common factor number is the GCF number.
So the greatest common factor 4359,3287 is 1.
Lets's calculate LCM of 122,7079
Given numbers has no common factors except 1. So, there LCM is their product i.e 863638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/863638
Therefore, the GCF of Fractions 4359/122,3287/7079 is 1/863638
Least Common Multiple of 122,7079 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 122,7079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,7079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,7079) x common factors =1 x 1 = 1
LCM(122,7079) = ( 122 × 7079 ) / 1
LCM(122,7079) = 863638 / 1
LCM(122,7079) = 863638
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FAQs on GCF of Fractions of 4359/122, 3287/7079
1. What is the HCF of 4359,3287?
The HCF of 4359,3287 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 4359/122, 3287/7079?
Answer: GCF of Numerators as per given numbers 4359/122, 3287/7079 is
GCF of Numerators i.e. for 4359,3287 is 1
LCM of denominators i.e. for 122,7079 is 863638.
Thus, GCF of Fractions is 1/863638.Finally, GCF of Fractions for 4359/122, 3287/7079 is 1/863638.