GCF of 3136/506, 8277/9843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3136/506, 8277/9843 i.e 1/4980558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3136/506, 8277/9843.
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 3136/506,8277/9843?
Given fractions are 3136/506,8277/9843
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 3136/506,8277/9843, numerators are 3136,8277
Denominators are 506,9843
The GCF of 3136,8277 is 1 .
LCM of 506,9843 is 4980558.
The greatest common factor of 3136/506,8277/9843 = [GCF of 3136,8277]/[LCM of 506,9843]= 1/4980558
Therefore, the GCF of 3136/506,8277/9843 is 1/4980558.
To find the highest common factor of 3136,8277, we have to find the factors of both numbers and list the highest common factor.
The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136
The factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277
The HCF of 3136,8277 is 1.
Lets's calculate GCF of 3136,8277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3136,8277 By Matching Biggest Common Factor Method
Now, list down the factors of 3136
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136
Now, list down the factors of 8277
:1,3,31,89,93,267,2759,8277
Greatest Common Factor
We found the factors 3136,8277 . The biggest common factor number is the GCF number.
So the greatest common factor 3136,8277 is 1.
Lets's calculate LCM of 506,9843
Given numbers has no common factors except 1. So, there LCM is their product i.e 4980558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4980558
Therefore, the GCF of Fractions 3136/506,8277/9843 is 1/4980558
Least Common Multiple of 506,9843 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 506,9843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,9843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,9843) x common factors =1 x 1 = 1
LCM(506,9843) = ( 506 × 9843 ) / 1
LCM(506,9843) = 4980558 / 1
LCM(506,9843) = 4980558
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3136/506, 8277/9843
1. What is the HCF of 3136,8277?
The HCF of 3136,8277 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 3136/506, 8277/9843?
Answer: GCF of Numerators as per given numbers 3136/506, 8277/9843 is
GCF of Numerators i.e. for 3136,8277 is 1
LCM of denominators i.e. for 506,9843 is 4980558.
Thus, GCF of Fractions is 1/4980558.Finally, GCF of Fractions for 3136/506, 8277/9843 is 1/4980558.