GCF of 5677/722, 7036/2722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5677/722, 7036/2722 i.e 1/982642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5677/722, 7036/2722.
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 5677/722,7036/2722?
Given fractions are 5677/722,7036/2722
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 5677/722,7036/2722, numerators are 5677,7036
Denominators are 722,2722
The GCF of 5677,7036 is 1 .
LCM of 722,2722 is 982642.
The greatest common factor of 5677/722,7036/2722 = [GCF of 5677,7036]/[LCM of 722,2722]= 1/982642
Therefore, the GCF of 5677/722,7036/2722 is 1/982642.
To find the highest common factor of 5677,7036, we have to find the factors of both numbers and list the highest common factor.
The factors of 5677 are 1, 7, 811, 5677
The factors of 7036 are 1, 2, 4, 1759, 3518, 7036
The HCF of 5677,7036 is 1.
Lets's calculate GCF of 5677,7036
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5677,7036 By Matching Biggest Common Factor Method
Now, list down the factors of 5677
:1,7,811,5677
Now, list down the factors of 7036
:1,2,4,1759,3518,7036
Greatest Common Factor
We found the factors 5677,7036 . The biggest common factor number is the GCF number.
So the greatest common factor 5677,7036 is 1.
Lets's calculate LCM of 722,2722
| 2 | 722, 2722 |
| 361, 1361 |
∴ So the LCM of the given numbers is 2 x 361 x 1361 = 982642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/982642
Therefore, the GCF of Fractions 5677/722,7036/2722 is 1/982642
Least Common Multiple of 722,2722 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 722,2722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,2722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,2722) x common factors =2 x 1 = 2
LCM(722,2722) = ( 722 × 2722 ) / 2
LCM(722,2722) = 1965284 / 2
LCM(722,2722) = 982642
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FAQs on GCF of Fractions of 5677/722, 7036/2722
1. What is the HCF of 5677,7036?
The HCF of 5677,7036 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 5677/722, 7036/2722?
Answer: GCF of Numerators as per given numbers 5677/722, 7036/2722 is
GCF of Numerators i.e. for 5677,7036 is 1
LCM of denominators i.e. for 722,2722 is 982642.
Thus, GCF of Fractions is 1/982642.Finally, GCF of Fractions for 5677/722, 7036/2722 is 1/982642.