GCF of 2607/829, 4022/4330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2607/829, 4022/4330 i.e 1/3589570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2607/829, 4022/4330.
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 2607/829,4022/4330?
Given fractions are 2607/829,4022/4330
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 2607/829,4022/4330, numerators are 2607,4022
Denominators are 829,4330
The GCF of 2607,4022 is 1 .
LCM of 829,4330 is 3589570.
The greatest common factor of 2607/829,4022/4330 = [GCF of 2607,4022]/[LCM of 829,4330]= 1/3589570
Therefore, the GCF of 2607/829,4022/4330 is 1/3589570.
To find the highest common factor of 2607,4022, we have to find the factors of both numbers and list the highest common factor.
The factors of 2607 are 1, 3, 11, 33, 79, 237, 869, 2607
The factors of 4022 are 1, 2, 2011, 4022
The HCF of 2607,4022 is 1.
Lets's calculate GCF of 2607,4022
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2607,4022 By Matching Biggest Common Factor Method
Now, list down the factors of 2607
:1,3,11,33,79,237,869,2607
Now, list down the factors of 4022
:1,2,2011,4022
Greatest Common Factor
We found the factors 2607,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 2607,4022 is 1.
Lets's calculate LCM of 829,4330
Given numbers has no common factors except 1. So, there LCM is their product i.e 3589570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3589570
Therefore, the GCF of Fractions 2607/829,4022/4330 is 1/3589570
Least Common Multiple of 829,4330 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 829,4330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,4330) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,4330) x common factors =1 x 1 = 1
LCM(829,4330) = ( 829 × 4330 ) / 1
LCM(829,4330) = 3589570 / 1
LCM(829,4330) = 3589570
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2607/829, 4022/4330
1. What is the HCF of 2607,4022?
The HCF of 2607,4022 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 2607/829, 4022/4330?
Answer: GCF of Numerators as per given numbers 2607/829, 4022/4330 is
GCF of Numerators i.e. for 2607,4022 is 1
LCM of denominators i.e. for 829,4330 is 3589570.
Thus, GCF of Fractions is 1/3589570.Finally, GCF of Fractions for 2607/829, 4022/4330 is 1/3589570.