GCF of 9213/465, 4920/6412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9213/465, 4920/6412 i.e 3/2981580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9213/465, 4920/6412.
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 9213/465,4920/6412?
Given fractions are 9213/465,4920/6412
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 9213/465,4920/6412, numerators are 9213,4920
Denominators are 465,6412
The GCF of 9213,4920 is 3 .
LCM of 465,6412 is 2981580.
The greatest common factor of 9213/465,4920/6412 = [GCF of 9213,4920]/[LCM of 465,6412]= 3/2981580
Therefore, the GCF of 9213/465,4920/6412 is 3/2981580.
To find the highest common factor of 9213,4920, we have to find the factors of both numbers and list the highest common factor.
The factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213
The factors of 4920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920
The HCF of 9213,4920 is 3.
Lets's calculate GCF of 9213,4920
| 3 | 9213, 4920 |
| 3071, 1640 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9213,4920 By Matching Biggest Common Factor Method
Now, list down the factors of 9213
:1,3,37,83,111,249,3071,9213
Now, list down the factors of 4920
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920
Greatest Common Factor
We found the factors 9213,4920 . The biggest common factor number is the GCF number.
So the greatest common factor 9213,4920 is 3.
Lets's calculate LCM of 465,6412
Given numbers has no common factors except 1. So, there LCM is their product i.e 2981580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2981580
Therefore, the GCF of Fractions 9213/465,4920/6412 is 3/2981580
Least Common Multiple of 465,6412 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 465,6412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,6412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(465,6412) x common factors =1 x 1 = 1
LCM(465,6412) = ( 465 × 6412 ) / 1
LCM(465,6412) = 2981580 / 1
LCM(465,6412) = 2981580
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FAQs on GCF of Fractions of 9213/465, 4920/6412
1. What is the HCF of 9213,4920?
The HCF of 9213,4920 is 3
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 9213/465, 4920/6412?
Answer: GCF of Numerators as per given numbers 9213/465, 4920/6412 is
GCF of Numerators i.e. for 9213,4920 is 3
LCM of denominators i.e. for 465,6412 is 2981580.
Thus, GCF of Fractions is 3/2981580.Finally, GCF of Fractions for 9213/465, 4920/6412 is 3/2981580.