GCF of 9936/624, 3840/7870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9936/624, 3840/7870 i.e 48/2455440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9936/624, 3840/7870.
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 9936/624,3840/7870?
Given fractions are 9936/624,3840/7870
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 9936/624,3840/7870, numerators are 9936,3840
Denominators are 624,7870
The GCF of 9936,3840 is 48 .
LCM of 624,7870 is 2455440.
The greatest common factor of 9936/624,3840/7870 = [GCF of 9936,3840]/[LCM of 624,7870]= 48/2455440
Therefore, the GCF of 9936/624,3840/7870 is 48/2455440.
To find the highest common factor of 9936,3840, we have to find the factors of both numbers and list the highest common factor.
The factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936
The factors of 3840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840
The HCF of 9936,3840 is 48.
Lets's calculate GCF of 9936,3840
| 2 | 9936, 3840 |
| 2 | 4968, 1920 |
| 2 | 2484, 960 |
| 2 | 1242, 480 |
| 3 | 621, 240 |
| 207, 80 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 9936,3840 By Matching Biggest Common Factor Method
Now, list down the factors of 9936
:1,2,3,4,6,8,9,12,16,18,23,24,27,36,46,48,54,69,72,92,108,138,144,184,207,216,276,368,414,432,552,621,828,1104,1242,1656,2484,3312,4968,9936
Now, list down the factors of 3840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840
Greatest Common Factor
We found the factors 9936,3840 . The biggest common factor number is the GCF number.
So the greatest common factor 9936,3840 is 48.
Lets's calculate LCM of 624,7870
| 2 | 624, 7870 |
| 312, 3935 |
∴ So the LCM of the given numbers is 2 x 312 x 3935 = 2455440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/2455440
Therefore, the GCF of Fractions 9936/624,3840/7870 is 48/2455440
Least Common Multiple of 624,7870 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 624,7870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,7870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(624,7870) x common factors =2 x 1 = 2
LCM(624,7870) = ( 624 × 7870 ) / 2
LCM(624,7870) = 4910880 / 2
LCM(624,7870) = 2455440
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FAQs on GCF of Fractions of 9936/624, 3840/7870
1. What is the HCF of 9936,3840?
The HCF of 9936,3840 is 48
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 9936/624, 3840/7870?
Answer: GCF of Numerators as per given numbers 9936/624, 3840/7870 is
GCF of Numerators i.e. for 9936,3840 is 48
LCM of denominators i.e. for 624,7870 is 2455440.
Thus, GCF of Fractions is 48/2455440.Finally, GCF of Fractions for 9936/624, 3840/7870 is 48/2455440.