GCF of 4355/879, 1507/3607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4355/879, 1507/3607 i.e 1/3170553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4355/879, 1507/3607.
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 4355/879,1507/3607?
Given fractions are 4355/879,1507/3607
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 4355/879,1507/3607, numerators are 4355,1507
Denominators are 879,3607
The GCF of 4355,1507 is 1 .
LCM of 879,3607 is 3170553.
The greatest common factor of 4355/879,1507/3607 = [GCF of 4355,1507]/[LCM of 879,3607]= 1/3170553
Therefore, the GCF of 4355/879,1507/3607 is 1/3170553.
To find the highest common factor of 4355,1507, 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 1507 are 1, 11, 137, 1507
The HCF of 4355,1507 is 1.
Lets's calculate GCF of 4355,1507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4355,1507 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 1507
:1,11,137,1507
Greatest Common Factor
We found the factors 4355,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 4355,1507 is 1.
Lets's calculate LCM of 879,3607
Given numbers has no common factors except 1. So, there LCM is their product i.e 3170553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3170553
Therefore, the GCF of Fractions 4355/879,1507/3607 is 1/3170553
Least Common Multiple of 879,3607 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 879,3607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,3607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,3607) x common factors =1 x 1 = 1
LCM(879,3607) = ( 879 × 3607 ) / 1
LCM(879,3607) = 3170553 / 1
LCM(879,3607) = 3170553
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FAQs on GCF of Fractions of 4355/879, 1507/3607
1. What is the HCF of 4355,1507?
The HCF of 4355,1507 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 4355/879, 1507/3607?
Answer: GCF of Numerators as per given numbers 4355/879, 1507/3607 is
GCF of Numerators i.e. for 4355,1507 is 1
LCM of denominators i.e. for 879,3607 is 3170553.
Thus, GCF of Fractions is 1/3170553.Finally, GCF of Fractions for 4355/879, 1507/3607 is 1/3170553.