GCF of 1136/655, 3569/9749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1136/655, 3569/9749 i.e 1/6385595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1136/655, 3569/9749.
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 1136/655,3569/9749?
Given fractions are 1136/655,3569/9749
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 1136/655,3569/9749, numerators are 1136,3569
Denominators are 655,9749
The GCF of 1136,3569 is 1 .
LCM of 655,9749 is 6385595.
The greatest common factor of 1136/655,3569/9749 = [GCF of 1136,3569]/[LCM of 655,9749]= 1/6385595
Therefore, the GCF of 1136/655,3569/9749 is 1/6385595.
To find the highest common factor of 1136,3569, we have to find the factors of both numbers and list the highest common factor.
The factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136
The factors of 3569 are 1, 43, 83, 3569
The HCF of 1136,3569 is 1.
Lets's calculate GCF of 1136,3569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1136,3569 By Matching Biggest Common Factor Method
Now, list down the factors of 1136
:1,2,4,8,16,71,142,284,568,1136
Now, list down the factors of 3569
:1,43,83,3569
Greatest Common Factor
We found the factors 1136,3569 . The biggest common factor number is the GCF number.
So the greatest common factor 1136,3569 is 1.
Lets's calculate LCM of 655,9749
Given numbers has no common factors except 1. So, there LCM is their product i.e 6385595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6385595
Therefore, the GCF of Fractions 1136/655,3569/9749 is 1/6385595
Least Common Multiple of 655,9749 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 655,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,9749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,9749) x common factors =1 x 1 = 1
LCM(655,9749) = ( 655 × 9749 ) / 1
LCM(655,9749) = 6385595 / 1
LCM(655,9749) = 6385595
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FAQs on GCF of Fractions of 1136/655, 3569/9749
1. What is the HCF of 1136,3569?
The HCF of 1136,3569 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 1136/655, 3569/9749?
Answer: GCF of Numerators as per given numbers 1136/655, 3569/9749 is
GCF of Numerators i.e. for 1136,3569 is 1
LCM of denominators i.e. for 655,9749 is 6385595.
Thus, GCF of Fractions is 1/6385595.Finally, GCF of Fractions for 1136/655, 3569/9749 is 1/6385595.