GCF of 9937/579, 5416/6782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9937/579, 5416/6782 i.e 1/3926778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9937/579, 5416/6782.
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 9937/579,5416/6782?
Given fractions are 9937/579,5416/6782
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 9937/579,5416/6782, numerators are 9937,5416
Denominators are 579,6782
The GCF of 9937,5416 is 1 .
LCM of 579,6782 is 3926778.
The greatest common factor of 9937/579,5416/6782 = [GCF of 9937,5416]/[LCM of 579,6782]= 1/3926778
Therefore, the GCF of 9937/579,5416/6782 is 1/3926778.
To find the highest common factor of 9937,5416, we have to find the factors of both numbers and list the highest common factor.
The factors of 9937 are 1, 19, 523, 9937
The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416
The HCF of 9937,5416 is 1.
Lets's calculate GCF of 9937,5416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9937,5416 By Matching Biggest Common Factor Method
Now, list down the factors of 9937
:1,19,523,9937
Now, list down the factors of 5416
:1,2,4,8,677,1354,2708,5416
Greatest Common Factor
We found the factors 9937,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 9937,5416 is 1.
Lets's calculate LCM of 579,6782
Given numbers has no common factors except 1. So, there LCM is their product i.e 3926778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3926778
Therefore, the GCF of Fractions 9937/579,5416/6782 is 1/3926778
Least Common Multiple of 579,6782 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 579,6782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,6782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,6782) x common factors =1 x 1 = 1
LCM(579,6782) = ( 579 × 6782 ) / 1
LCM(579,6782) = 3926778 / 1
LCM(579,6782) = 3926778
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FAQs on GCF of Fractions of 9937/579, 5416/6782
1. What is the HCF of 9937,5416?
The HCF of 9937,5416 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 9937/579, 5416/6782?
Answer: GCF of Numerators as per given numbers 9937/579, 5416/6782 is
GCF of Numerators i.e. for 9937,5416 is 1
LCM of denominators i.e. for 579,6782 is 3926778.
Thus, GCF of Fractions is 1/3926778.Finally, GCF of Fractions for 9937/579, 5416/6782 is 1/3926778.