GCF of 2569/382, 1067/9758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2569/382, 1067/9758 i.e 1/1863778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2569/382, 1067/9758.
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 2569/382,1067/9758?
Given fractions are 2569/382,1067/9758
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 2569/382,1067/9758, numerators are 2569,1067
Denominators are 382,9758
The GCF of 2569,1067 is 1 .
LCM of 382,9758 is 1863778.
The greatest common factor of 2569/382,1067/9758 = [GCF of 2569,1067]/[LCM of 382,9758]= 1/1863778
Therefore, the GCF of 2569/382,1067/9758 is 1/1863778.
To find the highest common factor of 2569,1067, we have to find the factors of both numbers and list the highest common factor.
The factors of 2569 are 1, 7, 367, 2569
The factors of 1067 are 1, 11, 97, 1067
The HCF of 2569,1067 is 1.
Lets's calculate GCF of 2569,1067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2569,1067 By Matching Biggest Common Factor Method
Now, list down the factors of 2569
:1,7,367,2569
Now, list down the factors of 1067
:1,11,97,1067
Greatest Common Factor
We found the factors 2569,1067 . The biggest common factor number is the GCF number.
So the greatest common factor 2569,1067 is 1.
Lets's calculate LCM of 382,9758
| 2 | 382, 9758 |
| 191, 4879 |
∴ So the LCM of the given numbers is 2 x 191 x 4879 = 1863778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1863778
Therefore, the GCF of Fractions 2569/382,1067/9758 is 1/1863778
Least Common Multiple of 382,9758 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 382,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,9758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,9758) x common factors =2 x 1 = 2
LCM(382,9758) = ( 382 × 9758 ) / 2
LCM(382,9758) = 3727556 / 2
LCM(382,9758) = 1863778
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FAQs on GCF of Fractions of 2569/382, 1067/9758
1. What is the HCF of 2569,1067?
The HCF of 2569,1067 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 2569/382, 1067/9758?
Answer: GCF of Numerators as per given numbers 2569/382, 1067/9758 is
GCF of Numerators i.e. for 2569,1067 is 1
LCM of denominators i.e. for 382,9758 is 1863778.
Thus, GCF of Fractions is 1/1863778.Finally, GCF of Fractions for 2569/382, 1067/9758 is 1/1863778.