GCF of 6623/345, 9300/4354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6623/345, 9300/4354 i.e 1/1502130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6623/345, 9300/4354.
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 6623/345,9300/4354?
Given fractions are 6623/345,9300/4354
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 6623/345,9300/4354, numerators are 6623,9300
Denominators are 345,4354
The GCF of 6623,9300 is 1 .
LCM of 345,4354 is 1502130.
The greatest common factor of 6623/345,9300/4354 = [GCF of 6623,9300]/[LCM of 345,4354]= 1/1502130
Therefore, the GCF of 6623/345,9300/4354 is 1/1502130.
To find the highest common factor of 6623,9300, we have to find the factors of both numbers and list the highest common factor.
The factors of 6623 are 1, 37, 179, 6623
The factors of 9300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650, 9300
The HCF of 6623,9300 is 1.
Lets's calculate GCF of 6623,9300
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6623,9300 By Matching Biggest Common Factor Method
Now, list down the factors of 6623
:1,37,179,6623
Now, list down the factors of 9300
:1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300
Greatest Common Factor
We found the factors 6623,9300 . The biggest common factor number is the GCF number.
So the greatest common factor 6623,9300 is 1.
Lets's calculate LCM of 345,4354
Given numbers has no common factors except 1. So, there LCM is their product i.e 1502130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1502130
Therefore, the GCF of Fractions 6623/345,9300/4354 is 1/1502130
Least Common Multiple of 345,4354 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 345,4354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,4354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,4354) x common factors =1 x 1 = 1
LCM(345,4354) = ( 345 × 4354 ) / 1
LCM(345,4354) = 1502130 / 1
LCM(345,4354) = 1502130
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FAQs on GCF of Fractions of 6623/345, 9300/4354
1. What is the HCF of 6623,9300?
The HCF of 6623,9300 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 6623/345, 9300/4354?
Answer: GCF of Numerators as per given numbers 6623/345, 9300/4354 is
GCF of Numerators i.e. for 6623,9300 is 1
LCM of denominators i.e. for 345,4354 is 1502130.
Thus, GCF of Fractions is 1/1502130.Finally, GCF of Fractions for 6623/345, 9300/4354 is 1/1502130.