GCF of 566/918, 4867/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 566/918, 4867/677 i.e 1/621486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/918, 4867/677.
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 566/918,4867/677?
Given fractions are 566/918,4867/677
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 566/918,4867/677, numerators are 566,4867
Denominators are 918,677
The GCF of 566,4867 is 1 .
LCM of 918,677 is 621486.
The greatest common factor of 566/918,4867/677 = [GCF of 566,4867]/[LCM of 918,677]= 1/621486
Therefore, the GCF of 566/918,4867/677 is 1/621486.
To find the highest common factor of 566,4867, we have to find the factors of both numbers and list the highest common factor.
The factors of 566 are 1, 2, 283, 566
The factors of 4867 are 1, 31, 157, 4867
The HCF of 566,4867 is 1.
Lets's calculate GCF of 566,4867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 566,4867 By Matching Biggest Common Factor Method
Now, list down the factors of 566
:1,2,283,566
Now, list down the factors of 4867
:1,31,157,4867
Greatest Common Factor
We found the factors 566,4867 . The biggest common factor number is the GCF number.
So the greatest common factor 566,4867 is 1.
Lets's calculate LCM of 918,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 621486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621486
Therefore, the GCF of Fractions 566/918,4867/677 is 1/621486
Least Common Multiple of 918,677 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 918,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(918,677) x common factors =1 x 1 = 1
LCM(918,677) = ( 918 × 677 ) / 1
LCM(918,677) = 621486 / 1
LCM(918,677) = 621486
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FAQs on GCF of Fractions of 566/918, 4867/677
1. What is the HCF of 566,4867?
The HCF of 566,4867 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 566/918, 4867/677?
Answer: GCF of Numerators as per given numbers 566/918, 4867/677 is
GCF of Numerators i.e. for 566,4867 is 1
LCM of denominators i.e. for 918,677 is 621486.
Thus, GCF of Fractions is 1/621486.Finally, GCF of Fractions for 566/918, 4867/677 is 1/621486.