GCF of 5414/708, 3279/6494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5414/708, 3279/6494 i.e 1/2298876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5414/708, 3279/6494.
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 5414/708,3279/6494?
Given fractions are 5414/708,3279/6494
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 5414/708,3279/6494, numerators are 5414,3279
Denominators are 708,6494
The GCF of 5414,3279 is 1 .
LCM of 708,6494 is 2298876.
The greatest common factor of 5414/708,3279/6494 = [GCF of 5414,3279]/[LCM of 708,6494]= 1/2298876
Therefore, the GCF of 5414/708,3279/6494 is 1/2298876.
To find the highest common factor of 5414,3279, we have to find the factors of both numbers and list the highest common factor.
The factors of 5414 are 1, 2, 2707, 5414
The factors of 3279 are 1, 3, 1093, 3279
The HCF of 5414,3279 is 1.
Lets's calculate GCF of 5414,3279
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5414,3279 By Matching Biggest Common Factor Method
Now, list down the factors of 5414
:1,2,2707,5414
Now, list down the factors of 3279
:1,3,1093,3279
Greatest Common Factor
We found the factors 5414,3279 . The biggest common factor number is the GCF number.
So the greatest common factor 5414,3279 is 1.
Lets's calculate LCM of 708,6494
| 2 | 708, 6494 |
| 354, 3247 |
∴ So the LCM of the given numbers is 2 x 354 x 3247 = 2298876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2298876
Therefore, the GCF of Fractions 5414/708,3279/6494 is 1/2298876
Least Common Multiple of 708,6494 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 708,6494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,6494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(708,6494) x common factors =2 x 1 = 2
LCM(708,6494) = ( 708 × 6494 ) / 2
LCM(708,6494) = 4597752 / 2
LCM(708,6494) = 2298876
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FAQs on GCF of Fractions of 5414/708, 3279/6494
1. What is the HCF of 5414,3279?
The HCF of 5414,3279 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 5414/708, 3279/6494?
Answer: GCF of Numerators as per given numbers 5414/708, 3279/6494 is
GCF of Numerators i.e. for 5414,3279 is 1
LCM of denominators i.e. for 708,6494 is 2298876.
Thus, GCF of Fractions is 1/2298876.Finally, GCF of Fractions for 5414/708, 3279/6494 is 1/2298876.