GCF of 6346/549, 8100/808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6346/549, 8100/808 i.e 2/443592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6346/549, 8100/808.
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 6346/549,8100/808?
Given fractions are 6346/549,8100/808
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 6346/549,8100/808, numerators are 6346,8100
Denominators are 549,808
The GCF of 6346,8100 is 2 .
LCM of 549,808 is 443592.
The greatest common factor of 6346/549,8100/808 = [GCF of 6346,8100]/[LCM of 549,808]= 2/443592
Therefore, the GCF of 6346/549,8100/808 is 2/443592.
To find the highest common factor of 6346,8100, we have to find the factors of both numbers and list the highest common factor.
The factors of 6346 are 1, 2, 19, 38, 167, 334, 3173, 6346
The factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100
The HCF of 6346,8100 is 2.
Lets's calculate GCF of 6346,8100
| 2 | 6346, 8100 |
| 3173, 4050 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6346,8100 By Matching Biggest Common Factor Method
Now, list down the factors of 6346
:1,2,19,38,167,334,3173,6346
Now, list down the factors of 8100
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100
Greatest Common Factor
We found the factors 6346,8100 . The biggest common factor number is the GCF number.
So the greatest common factor 6346,8100 is 2.
Lets's calculate LCM of 549,808
Given numbers has no common factors except 1. So, there LCM is their product i.e 443592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/443592
Therefore, the GCF of Fractions 6346/549,8100/808 is 2/443592
Least Common Multiple of 549,808 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 549,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,808) x common factors =1 x 1 = 1
LCM(549,808) = ( 549 × 808 ) / 1
LCM(549,808) = 443592 / 1
LCM(549,808) = 443592
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FAQs on GCF of Fractions of 6346/549, 8100/808
1. What is the HCF of 6346,8100?
The HCF of 6346,8100 is 2
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 6346/549, 8100/808?
Answer: GCF of Numerators as per given numbers 6346/549, 8100/808 is
GCF of Numerators i.e. for 6346,8100 is 2
LCM of denominators i.e. for 549,808 is 443592.
Thus, GCF of Fractions is 2/443592.Finally, GCF of Fractions for 6346/549, 8100/808 is 2/443592.