GCF of 8077/561, 4316/949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8077/561, 4316/949 i.e 1/532389 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8077/561, 4316/949.
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 8077/561,4316/949?
Given fractions are 8077/561,4316/949
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 8077/561,4316/949, numerators are 8077,4316
Denominators are 561,949
The GCF of 8077,4316 is 1 .
LCM of 561,949 is 532389.
The greatest common factor of 8077/561,4316/949 = [GCF of 8077,4316]/[LCM of 561,949]= 1/532389
Therefore, the GCF of 8077/561,4316/949 is 1/532389.
To find the highest common factor of 8077,4316, we have to find the factors of both numbers and list the highest common factor.
The factors of 8077 are 1, 41, 197, 8077
The factors of 4316 are 1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316
The HCF of 8077,4316 is 1.
Lets's calculate GCF of 8077,4316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8077,4316 By Matching Biggest Common Factor Method
Now, list down the factors of 8077
:1,41,197,8077
Now, list down the factors of 4316
:1,2,4,13,26,52,83,166,332,1079,2158,4316
Greatest Common Factor
We found the factors 8077,4316 . The biggest common factor number is the GCF number.
So the greatest common factor 8077,4316 is 1.
Lets's calculate LCM of 561,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 532389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/532389
Therefore, the GCF of Fractions 8077/561,4316/949 is 1/532389
Least Common Multiple of 561,949 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 561,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,949) x common factors =1 x 1 = 1
LCM(561,949) = ( 561 × 949 ) / 1
LCM(561,949) = 532389 / 1
LCM(561,949) = 532389
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FAQs on GCF of Fractions of 8077/561, 4316/949
1. What is the HCF of 8077,4316?
The HCF of 8077,4316 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 8077/561, 4316/949?
Answer: GCF of Numerators as per given numbers 8077/561, 4316/949 is
GCF of Numerators i.e. for 8077,4316 is 1
LCM of denominators i.e. for 561,949 is 532389.
Thus, GCF of Fractions is 1/532389.Finally, GCF of Fractions for 8077/561, 4316/949 is 1/532389.