GCF of 2607/286, 5635/3584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2607/286, 5635/3584 i.e 1/512512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2607/286, 5635/3584.
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 2607/286,5635/3584?
Given fractions are 2607/286,5635/3584
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 2607/286,5635/3584, numerators are 2607,5635
Denominators are 286,3584
The GCF of 2607,5635 is 1 .
LCM of 286,3584 is 512512.
The greatest common factor of 2607/286,5635/3584 = [GCF of 2607,5635]/[LCM of 286,3584]= 1/512512
Therefore, the GCF of 2607/286,5635/3584 is 1/512512.
To find the highest common factor of 2607,5635, 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 5635 are 1, 5, 7, 23, 35, 49, 115, 161, 245, 805, 1127, 5635
The HCF of 2607,5635 is 1.
Lets's calculate GCF of 2607,5635
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2607,5635 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 5635
:1,5,7,23,35,49,115,161,245,805,1127,5635
Greatest Common Factor
We found the factors 2607,5635 . The biggest common factor number is the GCF number.
So the greatest common factor 2607,5635 is 1.
Lets's calculate LCM of 286,3584
| 2 | 286, 3584 |
| 143, 1792 |
∴ So the LCM of the given numbers is 2 x 143 x 1792 = 512512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512512
Therefore, the GCF of Fractions 2607/286,5635/3584 is 1/512512
Least Common Multiple of 286,3584 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 286,3584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,3584) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,3584) x common factors =2 x 1 = 2
LCM(286,3584) = ( 286 × 3584 ) / 2
LCM(286,3584) = 1025024 / 2
LCM(286,3584) = 512512
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FAQs on GCF of Fractions of 2607/286, 5635/3584
1. What is the HCF of 2607,5635?
The HCF of 2607,5635 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 2607/286, 5635/3584?
Answer: GCF of Numerators as per given numbers 2607/286, 5635/3584 is
GCF of Numerators i.e. for 2607,5635 is 1
LCM of denominators i.e. for 286,3584 is 512512.
Thus, GCF of Fractions is 1/512512.Finally, GCF of Fractions for 2607/286, 5635/3584 is 1/512512.