GCF of 2707/516, 3493/4651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2707/516, 3493/4651 i.e 1/2399916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2707/516, 3493/4651.
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 2707/516,3493/4651?
Given fractions are 2707/516,3493/4651
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 2707/516,3493/4651, numerators are 2707,3493
Denominators are 516,4651
The GCF of 2707,3493 is 1 .
LCM of 516,4651 is 2399916.
The greatest common factor of 2707/516,3493/4651 = [GCF of 2707,3493]/[LCM of 516,4651]= 1/2399916
Therefore, the GCF of 2707/516,3493/4651 is 1/2399916.
To find the highest common factor of 2707,3493, 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 3493 are 1, 7, 499, 3493
The HCF of 2707,3493 is 1.
Lets's calculate GCF of 2707,3493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2707,3493 By Matching Biggest Common Factor Method
Now, list down the factors of 2707
:1,2707
Now, list down the factors of 3493
:1,7,499,3493
Greatest Common Factor
We found the factors 2707,3493 . The biggest common factor number is the GCF number.
So the greatest common factor 2707,3493 is 1.
Lets's calculate LCM of 516,4651
Given numbers has no common factors except 1. So, there LCM is their product i.e 2399916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2399916
Therefore, the GCF of Fractions 2707/516,3493/4651 is 1/2399916
Least Common Multiple of 516,4651 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 516,4651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,4651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(516,4651) x common factors =1 x 1 = 1
LCM(516,4651) = ( 516 × 4651 ) / 1
LCM(516,4651) = 2399916 / 1
LCM(516,4651) = 2399916
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FAQs on GCF of Fractions of 2707/516, 3493/4651
1. What is the HCF of 2707,3493?
The HCF of 2707,3493 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 2707/516, 3493/4651?
Answer: GCF of Numerators as per given numbers 2707/516, 3493/4651 is
GCF of Numerators i.e. for 2707,3493 is 1
LCM of denominators i.e. for 516,4651 is 2399916.
Thus, GCF of Fractions is 1/2399916.Finally, GCF of Fractions for 2707/516, 3493/4651 is 1/2399916.