GCF of 4224/962, 5248/2875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4224/962, 5248/2875 i.e 128/2765750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4224/962, 5248/2875.
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 4224/962,5248/2875?
Given fractions are 4224/962,5248/2875
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 4224/962,5248/2875, numerators are 4224,5248
Denominators are 962,2875
The GCF of 4224,5248 is 128 .
LCM of 962,2875 is 2765750.
The greatest common factor of 4224/962,5248/2875 = [GCF of 4224,5248]/[LCM of 962,2875]= 128/2765750
Therefore, the GCF of 4224/962,5248/2875 is 128/2765750.
To find the highest common factor of 4224,5248, we have to find the factors of both numbers and list the highest common factor.
The factors of 4224 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224
The factors of 5248 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 328, 656, 1312, 2624, 5248
The HCF of 4224,5248 is 128.
Lets's calculate GCF of 4224,5248
| 2 | 4224, 5248 |
| 2 | 2112, 2624 |
| 2 | 1056, 1312 |
| 2 | 528, 656 |
| 2 | 264, 328 |
| 2 | 132, 164 |
| 2 | 66, 82 |
| 33, 41 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
Greatest Common Factor of 4224,5248 By Matching Biggest Common Factor Method
Now, list down the factors of 4224
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,264,352,384,528,704,1056,1408,2112,4224
Now, list down the factors of 5248
:1,2,4,8,16,32,41,64,82,128,164,328,656,1312,2624,5248
Greatest Common Factor
We found the factors 4224,5248 . The biggest common factor number is the GCF number.
So the greatest common factor 4224,5248 is 128.
Lets's calculate LCM of 962,2875
Given numbers has no common factors except 1. So, there LCM is their product i.e 2765750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 128/2765750
Therefore, the GCF of Fractions 4224/962,5248/2875 is 128/2765750
Least Common Multiple of 962,2875 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 962,2875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,2875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(962,2875) x common factors =1 x 1 = 1
LCM(962,2875) = ( 962 × 2875 ) / 1
LCM(962,2875) = 2765750 / 1
LCM(962,2875) = 2765750
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4224/962, 5248/2875
1. What is the HCF of 4224,5248?
The HCF of 4224,5248 is 128
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 4224/962, 5248/2875?
Answer: GCF of Numerators as per given numbers 4224/962, 5248/2875 is
GCF of Numerators i.e. for 4224,5248 is 128
LCM of denominators i.e. for 962,2875 is 2765750.
Thus, GCF of Fractions is 128/2765750.Finally, GCF of Fractions for 4224/962, 5248/2875 is 128/2765750.