GCF of 3768/508, 5040/4828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3768/508, 5040/4828 i.e 24/613156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3768/508, 5040/4828.
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 3768/508,5040/4828?
Given fractions are 3768/508,5040/4828
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 3768/508,5040/4828, numerators are 3768,5040
Denominators are 508,4828
The GCF of 3768,5040 is 24 .
LCM of 508,4828 is 613156.
The greatest common factor of 3768/508,5040/4828 = [GCF of 3768,5040]/[LCM of 508,4828]= 24/613156
Therefore, the GCF of 3768/508,5040/4828 is 24/613156.
To find the highest common factor of 3768,5040, we have to find the factors of both numbers and list the highest common factor.
The factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768
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 3768,5040 is 24.
Lets's calculate GCF of 3768,5040
| 2 | 3768, 5040 |
| 2 | 1884, 2520 |
| 2 | 942, 1260 |
| 3 | 471, 630 |
| 157, 210 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 3768,5040 By Matching Biggest Common Factor Method
Now, list down the factors of 3768
:1,2,3,4,6,8,12,24,157,314,471,628,942,1256,1884,3768
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 3768,5040 . The biggest common factor number is the GCF number.
So the greatest common factor 3768,5040 is 24.
Lets's calculate LCM of 508,4828
| 2 | 508, 4828 |
| 2 | 254, 2414 |
| 127, 1207 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 1207 = 613156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/613156
Therefore, the GCF of Fractions 3768/508,5040/4828 is 24/613156
Least Common Multiple of 508,4828 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 508,4828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,4828) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,4828) x common factors =4 x 1 = 4
LCM(508,4828) = ( 508 × 4828 ) / 4
LCM(508,4828) = 2452624 / 4
LCM(508,4828) = 613156
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FAQs on GCF of Fractions of 3768/508, 5040/4828
1. What is the HCF of 3768,5040?
The HCF of 3768,5040 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 3768/508, 5040/4828?
Answer: GCF of Numerators as per given numbers 3768/508, 5040/4828 is
GCF of Numerators i.e. for 3768,5040 is 24
LCM of denominators i.e. for 508,4828 is 613156.
Thus, GCF of Fractions is 24/613156.Finally, GCF of Fractions for 3768/508, 5040/4828 is 24/613156.