GCF of 5657/376, 8580/6667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5657/376, 8580/6667 i.e 1/2506792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5657/376, 8580/6667.
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 5657/376,8580/6667?
Given fractions are 5657/376,8580/6667
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 5657/376,8580/6667, numerators are 5657,8580
Denominators are 376,6667
The GCF of 5657,8580 is 1 .
LCM of 376,6667 is 2506792.
The greatest common factor of 5657/376,8580/6667 = [GCF of 5657,8580]/[LCM of 376,6667]= 1/2506792
Therefore, the GCF of 5657/376,8580/6667 is 1/2506792.
To find the highest common factor of 5657,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 5657 are 1, 5657
The factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580
The HCF of 5657,8580 is 1.
Lets's calculate GCF of 5657,8580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5657,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 5657
:1,5657
Now, list down the factors of 8580
:1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Greatest Common Factor
We found the factors 5657,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 5657,8580 is 1.
Lets's calculate LCM of 376,6667
Given numbers has no common factors except 1. So, there LCM is their product i.e 2506792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2506792
Therefore, the GCF of Fractions 5657/376,8580/6667 is 1/2506792
Least Common Multiple of 376,6667 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 376,6667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,6667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,6667) x common factors =1 x 1 = 1
LCM(376,6667) = ( 376 × 6667 ) / 1
LCM(376,6667) = 2506792 / 1
LCM(376,6667) = 2506792
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5657/376, 8580/6667
1. What is the HCF of 5657,8580?
The HCF of 5657,8580 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 5657/376, 8580/6667?
Answer: GCF of Numerators as per given numbers 5657/376, 8580/6667 is
GCF of Numerators i.e. for 5657,8580 is 1
LCM of denominators i.e. for 376,6667 is 2506792.
Thus, GCF of Fractions is 1/2506792.Finally, GCF of Fractions for 5657/376, 8580/6667 is 1/2506792.