GCF of 5681/572, 4067/7112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5681/572, 4067/7112 i.e 1/1017016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5681/572, 4067/7112.
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 5681/572,4067/7112?
Given fractions are 5681/572,4067/7112
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 5681/572,4067/7112, numerators are 5681,4067
Denominators are 572,7112
The GCF of 5681,4067 is 1 .
LCM of 572,7112 is 1017016.
The greatest common factor of 5681/572,4067/7112 = [GCF of 5681,4067]/[LCM of 572,7112]= 1/1017016
Therefore, the GCF of 5681/572,4067/7112 is 1/1017016.
To find the highest common factor of 5681,4067, we have to find the factors of both numbers and list the highest common factor.
The factors of 5681 are 1, 13, 19, 23, 247, 299, 437, 5681
The factors of 4067 are 1, 7, 49, 83, 581, 4067
The HCF of 5681,4067 is 1.
Lets's calculate GCF of 5681,4067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5681,4067 By Matching Biggest Common Factor Method
Now, list down the factors of 5681
:1,13,19,23,247,299,437,5681
Now, list down the factors of 4067
:1,7,49,83,581,4067
Greatest Common Factor
We found the factors 5681,4067 . The biggest common factor number is the GCF number.
So the greatest common factor 5681,4067 is 1.
Lets's calculate LCM of 572,7112
| 2 | 572, 7112 |
| 2 | 286, 3556 |
| 143, 1778 |
∴ So the LCM of the given numbers is 2 x 2 x 143 x 1778 = 1017016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1017016
Therefore, the GCF of Fractions 5681/572,4067/7112 is 1/1017016
Least Common Multiple of 572,7112 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 572,7112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,7112) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(572,7112) x common factors =4 x 1 = 4
LCM(572,7112) = ( 572 × 7112 ) / 4
LCM(572,7112) = 4068064 / 4
LCM(572,7112) = 1017016
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FAQs on GCF of Fractions of 5681/572, 4067/7112
1. What is the HCF of 5681,4067?
The HCF of 5681,4067 is 1
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 5681/572, 4067/7112?
Answer: GCF of Numerators as per given numbers 5681/572, 4067/7112 is
GCF of Numerators i.e. for 5681,4067 is 1
LCM of denominators i.e. for 572,7112 is 1017016.
Thus, GCF of Fractions is 1/1017016.Finally, GCF of Fractions for 5681/572, 4067/7112 is 1/1017016.