GCF of 2271/562, 1272/5804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2271/562, 1272/5804 i.e 3/1630924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2271/562, 1272/5804.
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 2271/562,1272/5804?
Given fractions are 2271/562,1272/5804
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 2271/562,1272/5804, numerators are 2271,1272
Denominators are 562,5804
The GCF of 2271,1272 is 3 .
LCM of 562,5804 is 1630924.
The greatest common factor of 2271/562,1272/5804 = [GCF of 2271,1272]/[LCM of 562,5804]= 3/1630924
Therefore, the GCF of 2271/562,1272/5804 is 3/1630924.
To find the highest common factor of 2271,1272, we have to find the factors of both numbers and list the highest common factor.
The factors of 2271 are 1, 3, 757, 2271
The factors of 1272 are 1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272
The HCF of 2271,1272 is 3.
Lets's calculate GCF of 2271,1272
| 3 | 2271, 1272 |
| 757, 424 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2271,1272 By Matching Biggest Common Factor Method
Now, list down the factors of 2271
:1,3,757,2271
Now, list down the factors of 1272
:1,2,3,4,6,8,12,24,53,106,159,212,318,424,636,1272
Greatest Common Factor
We found the factors 2271,1272 . The biggest common factor number is the GCF number.
So the greatest common factor 2271,1272 is 3.
Lets's calculate LCM of 562,5804
| 2 | 562, 5804 |
| 281, 2902 |
∴ So the LCM of the given numbers is 2 x 281 x 2902 = 1630924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1630924
Therefore, the GCF of Fractions 2271/562,1272/5804 is 3/1630924
Least Common Multiple of 562,5804 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 562,5804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,5804) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,5804) x common factors =2 x 1 = 2
LCM(562,5804) = ( 562 × 5804 ) / 2
LCM(562,5804) = 3261848 / 2
LCM(562,5804) = 1630924
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FAQs on GCF of Fractions of 2271/562, 1272/5804
1. What is the HCF of 2271,1272?
The HCF of 2271,1272 is 3
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 2271/562, 1272/5804?
Answer: GCF of Numerators as per given numbers 2271/562, 1272/5804 is
GCF of Numerators i.e. for 2271,1272 is 3
LCM of denominators i.e. for 562,5804 is 1630924.
Thus, GCF of Fractions is 3/1630924.Finally, GCF of Fractions for 2271/562, 1272/5804 is 3/1630924.