GCF of 2606/438, 2807/3136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2606/438, 2807/3136 i.e 1/686784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2606/438, 2807/3136.
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 2606/438,2807/3136?
Given fractions are 2606/438,2807/3136
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 2606/438,2807/3136, numerators are 2606,2807
Denominators are 438,3136
The GCF of 2606,2807 is 1 .
LCM of 438,3136 is 686784.
The greatest common factor of 2606/438,2807/3136 = [GCF of 2606,2807]/[LCM of 438,3136]= 1/686784
Therefore, the GCF of 2606/438,2807/3136 is 1/686784.
To find the highest common factor of 2606,2807, we have to find the factors of both numbers and list the highest common factor.
The factors of 2606 are 1, 2, 1303, 2606
The factors of 2807 are 1, 7, 401, 2807
The HCF of 2606,2807 is 1.
Lets's calculate GCF of 2606,2807
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2606,2807 By Matching Biggest Common Factor Method
Now, list down the factors of 2606
:1,2,1303,2606
Now, list down the factors of 2807
:1,7,401,2807
Greatest Common Factor
We found the factors 2606,2807 . The biggest common factor number is the GCF number.
So the greatest common factor 2606,2807 is 1.
Lets's calculate LCM of 438,3136
| 2 | 438, 3136 |
| 219, 1568 |
∴ So the LCM of the given numbers is 2 x 219 x 1568 = 686784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/686784
Therefore, the GCF of Fractions 2606/438,2807/3136 is 1/686784
Least Common Multiple of 438,3136 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 438,3136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,3136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,3136) x common factors =2 x 1 = 2
LCM(438,3136) = ( 438 × 3136 ) / 2
LCM(438,3136) = 1373568 / 2
LCM(438,3136) = 686784
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FAQs on GCF of Fractions of 2606/438, 2807/3136
1. What is the HCF of 2606,2807?
The HCF of 2606,2807 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 2606/438, 2807/3136?
Answer: GCF of Numerators as per given numbers 2606/438, 2807/3136 is
GCF of Numerators i.e. for 2606,2807 is 1
LCM of denominators i.e. for 438,3136 is 686784.
Thus, GCF of Fractions is 1/686784.Finally, GCF of Fractions for 2606/438, 2807/3136 is 1/686784.