GCF of 6104/334, 5040/4468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6104/334, 5040/4468 i.e 56/746156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6104/334, 5040/4468.
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 6104/334,5040/4468?
Given fractions are 6104/334,5040/4468
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 6104/334,5040/4468, numerators are 6104,5040
Denominators are 334,4468
The GCF of 6104,5040 is 56 .
LCM of 334,4468 is 746156.
The greatest common factor of 6104/334,5040/4468 = [GCF of 6104,5040]/[LCM of 334,4468]= 56/746156
Therefore, the GCF of 6104/334,5040/4468 is 56/746156.
To find the highest common factor of 6104,5040, we have to find the factors of both numbers and list the highest common factor.
The factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104
The factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040
The HCF of 6104,5040 is 56.
Lets's calculate GCF of 6104,5040
| 2 | 6104, 5040 |
| 2 | 3052, 2520 |
| 2 | 1526, 1260 |
| 7 | 763, 630 |
| 109, 90 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 6104,5040 By Matching Biggest Common Factor Method
Now, list down the factors of 6104
:1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104
Now, list down the factors of 5040
:1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,63,70,72,80,84,90,105,112,120,126,140,144,168,180,210,240,252,280,315,336,360,420,504,560,630,720,840,1008,1260,1680,2520,5040
Greatest Common Factor
We found the factors 6104,5040 . The biggest common factor number is the GCF number.
So the greatest common factor 6104,5040 is 56.
Lets's calculate LCM of 334,4468
| 2 | 334, 4468 |
| 167, 2234 |
∴ So the LCM of the given numbers is 2 x 167 x 2234 = 746156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/746156
Therefore, the GCF of Fractions 6104/334,5040/4468 is 56/746156
Least Common Multiple of 334,4468 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 334,4468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,4468) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,4468) x common factors =2 x 1 = 2
LCM(334,4468) = ( 334 × 4468 ) / 2
LCM(334,4468) = 1492312 / 2
LCM(334,4468) = 746156
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FAQs on GCF of Fractions of 6104/334, 5040/4468
1. What is the HCF of 6104,5040?
The HCF of 6104,5040 is 56
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 6104/334, 5040/4468?
Answer: GCF of Numerators as per given numbers 6104/334, 5040/4468 is
GCF of Numerators i.e. for 6104,5040 is 56
LCM of denominators i.e. for 334,4468 is 746156.
Thus, GCF of Fractions is 56/746156.Finally, GCF of Fractions for 6104/334, 5040/4468 is 56/746156.