GCF of 6408/704, 4920/3682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6408/704, 4920/3682 i.e 24/1296064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6408/704, 4920/3682.
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 6408/704,4920/3682?
Given fractions are 6408/704,4920/3682
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 6408/704,4920/3682, numerators are 6408,4920
Denominators are 704,3682
The GCF of 6408,4920 is 24 .
LCM of 704,3682 is 1296064.
The greatest common factor of 6408/704,4920/3682 = [GCF of 6408,4920]/[LCM of 704,3682]= 24/1296064
Therefore, the GCF of 6408/704,4920/3682 is 24/1296064.
To find the highest common factor of 6408,4920, we have to find the factors of both numbers and list the highest common factor.
The factors of 6408 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3204, 6408
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 6408,4920 is 24.
Lets's calculate GCF of 6408,4920
| 2 | 6408, 4920 |
| 2 | 3204, 2460 |
| 2 | 1602, 1230 |
| 3 | 801, 615 |
| 267, 205 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 6408,4920 By Matching Biggest Common Factor Method
Now, list down the factors of 6408
:1,2,3,4,6,8,9,12,18,24,36,72,89,178,267,356,534,712,801,1068,1602,2136,3204,6408
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 6408,4920 . The biggest common factor number is the GCF number.
So the greatest common factor 6408,4920 is 24.
Lets's calculate LCM of 704,3682
| 2 | 704, 3682 |
| 352, 1841 |
∴ So the LCM of the given numbers is 2 x 352 x 1841 = 1296064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/1296064
Therefore, the GCF of Fractions 6408/704,4920/3682 is 24/1296064
Least Common Multiple of 704,3682 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 704,3682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,3682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(704,3682) x common factors =2 x 1 = 2
LCM(704,3682) = ( 704 × 3682 ) / 2
LCM(704,3682) = 2592128 / 2
LCM(704,3682) = 1296064
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6408/704, 4920/3682
1. What is the HCF of 6408,4920?
The HCF of 6408,4920 is 24
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 6408/704, 4920/3682?
Answer: GCF of Numerators as per given numbers 6408/704, 4920/3682 is
GCF of Numerators i.e. for 6408,4920 is 24
LCM of denominators i.e. for 704,3682 is 1296064.
Thus, GCF of Fractions is 24/1296064.Finally, GCF of Fractions for 6408/704, 4920/3682 is 24/1296064.