GCF of 4256/743, 7960/1353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4256/743, 7960/1353 i.e 8/1005279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4256/743, 7960/1353.
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 4256/743,7960/1353?
Given fractions are 4256/743,7960/1353
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 4256/743,7960/1353, numerators are 4256,7960
Denominators are 743,1353
The GCF of 4256,7960 is 8 .
LCM of 743,1353 is 1005279.
The greatest common factor of 4256/743,7960/1353 = [GCF of 4256,7960]/[LCM of 743,1353]= 8/1005279
Therefore, the GCF of 4256/743,7960/1353 is 8/1005279.
To find the highest common factor of 4256,7960, we have to find the factors of both numbers and list the highest common factor.
The factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256
The factors of 7960 are 1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960
The HCF of 4256,7960 is 8.
Lets's calculate GCF of 4256,7960
| 2 | 4256, 7960 |
| 2 | 2128, 3980 |
| 2 | 1064, 1990 |
| 532, 995 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4256,7960 By Matching Biggest Common Factor Method
Now, list down the factors of 4256
:1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256
Now, list down the factors of 7960
:1,2,4,5,8,10,20,40,199,398,796,995,1592,1990,3980,7960
Greatest Common Factor
We found the factors 4256,7960 . The biggest common factor number is the GCF number.
So the greatest common factor 4256,7960 is 8.
Lets's calculate LCM of 743,1353
Given numbers has no common factors except 1. So, there LCM is their product i.e 1005279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1005279
Therefore, the GCF of Fractions 4256/743,7960/1353 is 8/1005279
Least Common Multiple of 743,1353 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 743,1353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,1353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,1353) x common factors =1 x 1 = 1
LCM(743,1353) = ( 743 × 1353 ) / 1
LCM(743,1353) = 1005279 / 1
LCM(743,1353) = 1005279
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FAQs on GCF of Fractions of 4256/743, 7960/1353
1. What is the HCF of 4256,7960?
The HCF of 4256,7960 is 8
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 4256/743, 7960/1353?
Answer: GCF of Numerators as per given numbers 4256/743, 7960/1353 is
GCF of Numerators i.e. for 4256,7960 is 8
LCM of denominators i.e. for 743,1353 is 1005279.
Thus, GCF of Fractions is 8/1005279.Finally, GCF of Fractions for 4256/743, 7960/1353 is 8/1005279.