GCF of 2707/354, 1343/2894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2707/354, 1343/2894 i.e 1/512238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2707/354, 1343/2894.
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 2707/354,1343/2894?
Given fractions are 2707/354,1343/2894
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 2707/354,1343/2894, numerators are 2707,1343
Denominators are 354,2894
The GCF of 2707,1343 is 1 .
LCM of 354,2894 is 512238.
The greatest common factor of 2707/354,1343/2894 = [GCF of 2707,1343]/[LCM of 354,2894]= 1/512238
Therefore, the GCF of 2707/354,1343/2894 is 1/512238.
To find the highest common factor of 2707,1343, we have to find the factors of both numbers and list the highest common factor.
The factors of 2707 are 1, 2707
The factors of 1343 are 1, 17, 79, 1343
The HCF of 2707,1343 is 1.
Lets's calculate GCF of 2707,1343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2707,1343 By Matching Biggest Common Factor Method
Now, list down the factors of 2707
:1,2707
Now, list down the factors of 1343
:1,17,79,1343
Greatest Common Factor
We found the factors 2707,1343 . The biggest common factor number is the GCF number.
So the greatest common factor 2707,1343 is 1.
Lets's calculate LCM of 354,2894
| 2 | 354, 2894 |
| 177, 1447 |
∴ So the LCM of the given numbers is 2 x 177 x 1447 = 512238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512238
Therefore, the GCF of Fractions 2707/354,1343/2894 is 1/512238
Least Common Multiple of 354,2894 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 354,2894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,2894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,2894) x common factors =2 x 1 = 2
LCM(354,2894) = ( 354 × 2894 ) / 2
LCM(354,2894) = 1024476 / 2
LCM(354,2894) = 512238
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FAQs on GCF of Fractions of 2707/354, 1343/2894
1. What is the HCF of 2707,1343?
The HCF of 2707,1343 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 2707/354, 1343/2894?
Answer: GCF of Numerators as per given numbers 2707/354, 1343/2894 is
GCF of Numerators i.e. for 2707,1343 is 1
LCM of denominators i.e. for 354,2894 is 512238.
Thus, GCF of Fractions is 1/512238.Finally, GCF of Fractions for 2707/354, 1343/2894 is 1/512238.