GCF of 4096/674, 1752/2622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4096/674, 1752/2622 i.e 8/883614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4096/674, 1752/2622.
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 4096/674,1752/2622?
Given fractions are 4096/674,1752/2622
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 4096/674,1752/2622, numerators are 4096,1752
Denominators are 674,2622
The GCF of 4096,1752 is 8 .
LCM of 674,2622 is 883614.
The greatest common factor of 4096/674,1752/2622 = [GCF of 4096,1752]/[LCM of 674,2622]= 8/883614
Therefore, the GCF of 4096/674,1752/2622 is 8/883614.
To find the highest common factor of 4096,1752, we have to find the factors of both numbers and list the highest common factor.
The factors of 4096 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096
The factors of 1752 are 1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876, 1752
The HCF of 4096,1752 is 8.
Lets's calculate GCF of 4096,1752
| 2 | 4096, 1752 |
| 2 | 2048, 876 |
| 2 | 1024, 438 |
| 512, 219 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4096,1752 By Matching Biggest Common Factor Method
Now, list down the factors of 4096
:1,2,4,8,16,32,64,128,256,512,1024,2048,4096
Now, list down the factors of 1752
:1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752
Greatest Common Factor
We found the factors 4096,1752 . The biggest common factor number is the GCF number.
So the greatest common factor 4096,1752 is 8.
Lets's calculate LCM of 674,2622
| 2 | 674, 2622 |
| 337, 1311 |
∴ So the LCM of the given numbers is 2 x 337 x 1311 = 883614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/883614
Therefore, the GCF of Fractions 4096/674,1752/2622 is 8/883614
Least Common Multiple of 674,2622 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 674,2622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,2622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,2622) x common factors =2 x 1 = 2
LCM(674,2622) = ( 674 × 2622 ) / 2
LCM(674,2622) = 1767228 / 2
LCM(674,2622) = 883614
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FAQs on GCF of Fractions of 4096/674, 1752/2622
1. What is the HCF of 4096,1752?
The HCF of 4096,1752 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 4096/674, 1752/2622?
Answer: GCF of Numerators as per given numbers 4096/674, 1752/2622 is
GCF of Numerators i.e. for 4096,1752 is 8
LCM of denominators i.e. for 674,2622 is 883614.
Thus, GCF of Fractions is 8/883614.Finally, GCF of Fractions for 4096/674, 1752/2622 is 8/883614.