GCF of 4977/101, 8944/8537
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4977/101, 8944/8537 i.e 1/862237 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4977/101, 8944/8537.
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 4977/101,8944/8537?
Given fractions are 4977/101,8944/8537
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 4977/101,8944/8537, numerators are 4977,8944
Denominators are 101,8537
The GCF of 4977,8944 is 1 .
LCM of 101,8537 is 862237.
The greatest common factor of 4977/101,8944/8537 = [GCF of 4977,8944]/[LCM of 101,8537]= 1/862237
Therefore, the GCF of 4977/101,8944/8537 is 1/862237.
To find the highest common factor of 4977,8944, we have to find the factors of both numbers and list the highest common factor.
The factors of 4977 are 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977
The factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944
The HCF of 4977,8944 is 1.
Lets's calculate GCF of 4977,8944
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4977,8944 By Matching Biggest Common Factor Method
Now, list down the factors of 4977
:1,3,7,9,21,63,79,237,553,711,1659,4977
Now, list down the factors of 8944
:1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944
Greatest Common Factor
We found the factors 4977,8944 . The biggest common factor number is the GCF number.
So the greatest common factor 4977,8944 is 1.
Lets's calculate LCM of 101,8537
Given numbers has no common factors except 1. So, there LCM is their product i.e 862237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/862237
Therefore, the GCF of Fractions 4977/101,8944/8537 is 1/862237
Least Common Multiple of 101,8537 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 101,8537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,8537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,8537) x common factors =1 x 1 = 1
LCM(101,8537) = ( 101 × 8537 ) / 1
LCM(101,8537) = 862237 / 1
LCM(101,8537) = 862237
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4977/101, 8944/8537
1. What is the HCF of 4977,8944?
The HCF of 4977,8944 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 4977/101, 8944/8537?
Answer: GCF of Numerators as per given numbers 4977/101, 8944/8537 is
GCF of Numerators i.e. for 4977,8944 is 1
LCM of denominators i.e. for 101,8537 is 862237.
Thus, GCF of Fractions is 1/862237.Finally, GCF of Fractions for 4977/101, 8944/8537 is 1/862237.