GCF of 4296/509, 1056/3931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4296/509, 1056/3931 i.e 24/2000879 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4296/509, 1056/3931.
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 4296/509,1056/3931?
Given fractions are 4296/509,1056/3931
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 4296/509,1056/3931, numerators are 4296,1056
Denominators are 509,3931
The GCF of 4296,1056 is 24 .
LCM of 509,3931 is 2000879.
The greatest common factor of 4296/509,1056/3931 = [GCF of 4296,1056]/[LCM of 509,3931]= 24/2000879
Therefore, the GCF of 4296/509,1056/3931 is 24/2000879.
To find the highest common factor of 4296,1056, we have to find the factors of both numbers and list the highest common factor.
The factors of 4296 are 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296
The factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056
The HCF of 4296,1056 is 24.
Lets's calculate GCF of 4296,1056
| 2 | 4296, 1056 |
| 2 | 2148, 528 |
| 2 | 1074, 264 |
| 3 | 537, 132 |
| 179, 44 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 4296,1056 By Matching Biggest Common Factor Method
Now, list down the factors of 4296
:1,2,3,4,6,8,12,24,179,358,537,716,1074,1432,2148,4296
Now, list down the factors of 1056
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056
Greatest Common Factor
We found the factors 4296,1056 . The biggest common factor number is the GCF number.
So the greatest common factor 4296,1056 is 24.
Lets's calculate LCM of 509,3931
Given numbers has no common factors except 1. So, there LCM is their product i.e 2000879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/2000879
Therefore, the GCF of Fractions 4296/509,1056/3931 is 24/2000879
Least Common Multiple of 509,3931 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 509,3931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,3931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,3931) x common factors =1 x 1 = 1
LCM(509,3931) = ( 509 × 3931 ) / 1
LCM(509,3931) = 2000879 / 1
LCM(509,3931) = 2000879
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FAQs on GCF of Fractions of 4296/509, 1056/3931
1. What is the HCF of 4296,1056?
The HCF of 4296,1056 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 4296/509, 1056/3931?
Answer: GCF of Numerators as per given numbers 4296/509, 1056/3931 is
GCF of Numerators i.e. for 4296,1056 is 24
LCM of denominators i.e. for 509,3931 is 2000879.
Thus, GCF of Fractions is 24/2000879.Finally, GCF of Fractions for 4296/509, 1056/3931 is 24/2000879.