GCF of 2822/427, 1024/407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2822/427, 1024/407 i.e 2/173789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2822/427, 1024/407.
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 2822/427,1024/407?
Given fractions are 2822/427,1024/407
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 2822/427,1024/407, numerators are 2822,1024
Denominators are 427,407
The GCF of 2822,1024 is 2 .
LCM of 427,407 is 173789.
The greatest common factor of 2822/427,1024/407 = [GCF of 2822,1024]/[LCM of 427,407]= 2/173789
Therefore, the GCF of 2822/427,1024/407 is 2/173789.
To find the highest common factor of 2822,1024, we have to find the factors of both numbers and list the highest common factor.
The factors of 2822 are 1, 2, 17, 34, 83, 166, 1411, 2822
The factors of 1024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
The HCF of 2822,1024 is 2.
Lets's calculate GCF of 2822,1024
| 2 | 2822, 1024 |
| 1411, 512 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2822,1024 By Matching Biggest Common Factor Method
Now, list down the factors of 2822
:1,2,17,34,83,166,1411,2822
Now, list down the factors of 1024
:1,2,4,8,16,32,64,128,256,512,1024
Greatest Common Factor
We found the factors 2822,1024 . The biggest common factor number is the GCF number.
So the greatest common factor 2822,1024 is 2.
Lets's calculate LCM of 427,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 173789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173789
Therefore, the GCF of Fractions 2822/427,1024/407 is 2/173789
Least Common Multiple of 427,407 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 427,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,407) x common factors =1 x 1 = 1
LCM(427,407) = ( 427 × 407 ) / 1
LCM(427,407) = 173789 / 1
LCM(427,407) = 173789
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FAQs on GCF of Fractions of 2822/427, 1024/407
1. What is the HCF of 2822,1024?
The HCF of 2822,1024 is 2
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 2822/427, 1024/407?
Answer: GCF of Numerators as per given numbers 2822/427, 1024/407 is
GCF of Numerators i.e. for 2822,1024 is 2
LCM of denominators i.e. for 427,407 is 173789.
Thus, GCF of Fractions is 2/173789.Finally, GCF of Fractions for 2822/427, 1024/407 is 2/173789.