GCF of 3499/967, 5967/3892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3499/967, 5967/3892 i.e 1/3763564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3499/967, 5967/3892.
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 3499/967,5967/3892?
Given fractions are 3499/967,5967/3892
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 3499/967,5967/3892, numerators are 3499,5967
Denominators are 967,3892
The GCF of 3499,5967 is 1 .
LCM of 967,3892 is 3763564.
The greatest common factor of 3499/967,5967/3892 = [GCF of 3499,5967]/[LCM of 967,3892]= 1/3763564
Therefore, the GCF of 3499/967,5967/3892 is 1/3763564.
To find the highest common factor of 3499,5967, we have to find the factors of both numbers and list the highest common factor.
The factors of 3499 are 1, 3499
The factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967
The HCF of 3499,5967 is 1.
Lets's calculate GCF of 3499,5967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3499,5967 By Matching Biggest Common Factor Method
Now, list down the factors of 3499
:1,3499
Now, list down the factors of 5967
:1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967
Greatest Common Factor
We found the factors 3499,5967 . The biggest common factor number is the GCF number.
So the greatest common factor 3499,5967 is 1.
Lets's calculate LCM of 967,3892
Given numbers has no common factors except 1. So, there LCM is their product i.e 3763564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3763564
Therefore, the GCF of Fractions 3499/967,5967/3892 is 1/3763564
Least Common Multiple of 967,3892 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 967,3892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,3892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,3892) x common factors =1 x 1 = 1
LCM(967,3892) = ( 967 × 3892 ) / 1
LCM(967,3892) = 3763564 / 1
LCM(967,3892) = 3763564
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FAQs on GCF of Fractions of 3499/967, 5967/3892
1. What is the HCF of 3499,5967?
The HCF of 3499,5967 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 3499/967, 5967/3892?
Answer: GCF of Numerators as per given numbers 3499/967, 5967/3892 is
GCF of Numerators i.e. for 3499,5967 is 1
LCM of denominators i.e. for 967,3892 is 3763564.
Thus, GCF of Fractions is 1/3763564.Finally, GCF of Fractions for 3499/967, 5967/3892 is 1/3763564.