GCF of 3024/287, 6352/4313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3024/287, 6352/4313 i.e 16/1237831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3024/287, 6352/4313.
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 3024/287,6352/4313?
Given fractions are 3024/287,6352/4313
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 3024/287,6352/4313, numerators are 3024,6352
Denominators are 287,4313
The GCF of 3024,6352 is 16 .
LCM of 287,4313 is 1237831.
The greatest common factor of 3024/287,6352/4313 = [GCF of 3024,6352]/[LCM of 287,4313]= 16/1237831
Therefore, the GCF of 3024/287,6352/4313 is 16/1237831.
To find the highest common factor of 3024,6352, we have to find the factors of both numbers and list the highest common factor.
The factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024
The factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352
The HCF of 3024,6352 is 16.
Lets's calculate GCF of 3024,6352
| 2 | 3024, 6352 |
| 2 | 1512, 3176 |
| 2 | 756, 1588 |
| 2 | 378, 794 |
| 189, 397 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 3024,6352 By Matching Biggest Common Factor Method
Now, list down the factors of 3024
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024
Now, list down the factors of 6352
:1,2,4,8,16,397,794,1588,3176,6352
Greatest Common Factor
We found the factors 3024,6352 . The biggest common factor number is the GCF number.
So the greatest common factor 3024,6352 is 16.
Lets's calculate LCM of 287,4313
Given numbers has no common factors except 1. So, there LCM is their product i.e 1237831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1237831
Therefore, the GCF of Fractions 3024/287,6352/4313 is 16/1237831
Least Common Multiple of 287,4313 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 287,4313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,4313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,4313) x common factors =1 x 1 = 1
LCM(287,4313) = ( 287 × 4313 ) / 1
LCM(287,4313) = 1237831 / 1
LCM(287,4313) = 1237831
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FAQs on GCF of Fractions of 3024/287, 6352/4313
1. What is the HCF of 3024,6352?
The HCF of 3024,6352 is 16
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 3024/287, 6352/4313?
Answer: GCF of Numerators as per given numbers 3024/287, 6352/4313 is
GCF of Numerators i.e. for 3024,6352 is 16
LCM of denominators i.e. for 287,4313 is 1237831.
Thus, GCF of Fractions is 16/1237831.Finally, GCF of Fractions for 3024/287, 6352/4313 is 16/1237831.