GCF of 9957/683, 3560/779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9957/683, 3560/779 i.e 1/532057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9957/683, 3560/779.
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 9957/683,3560/779?
Given fractions are 9957/683,3560/779
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 9957/683,3560/779, numerators are 9957,3560
Denominators are 683,779
The GCF of 9957,3560 is 1 .
LCM of 683,779 is 532057.
The greatest common factor of 9957/683,3560/779 = [GCF of 9957,3560]/[LCM of 683,779]= 1/532057
Therefore, the GCF of 9957/683,3560/779 is 1/532057.
To find the highest common factor of 9957,3560, we have to find the factors of both numbers and list the highest common factor.
The factors of 9957 are 1, 3, 3319, 9957
The factors of 3560 are 1, 2, 4, 5, 8, 10, 20, 40, 89, 178, 356, 445, 712, 890, 1780, 3560
The HCF of 9957,3560 is 1.
Lets's calculate GCF of 9957,3560
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9957,3560 By Matching Biggest Common Factor Method
Now, list down the factors of 9957
:1,3,3319,9957
Now, list down the factors of 3560
:1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560
Greatest Common Factor
We found the factors 9957,3560 . The biggest common factor number is the GCF number.
So the greatest common factor 9957,3560 is 1.
Lets's calculate LCM of 683,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 532057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/532057
Therefore, the GCF of Fractions 9957/683,3560/779 is 1/532057
Least Common Multiple of 683,779 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 683,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,779) x common factors =1 x 1 = 1
LCM(683,779) = ( 683 × 779 ) / 1
LCM(683,779) = 532057 / 1
LCM(683,779) = 532057
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FAQs on GCF of Fractions of 9957/683, 3560/779
1. What is the HCF of 9957,3560?
The HCF of 9957,3560 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 9957/683, 3560/779?
Answer: GCF of Numerators as per given numbers 9957/683, 3560/779 is
GCF of Numerators i.e. for 9957,3560 is 1
LCM of denominators i.e. for 683,779 is 532057.
Thus, GCF of Fractions is 1/532057.Finally, GCF of Fractions for 9957/683, 3560/779 is 1/532057.