GCF of 8773/611, 3113/4247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8773/611, 3113/4247 i.e 283/2594917 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8773/611, 3113/4247.
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 8773/611,3113/4247?
Given fractions are 8773/611,3113/4247
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 8773/611,3113/4247, numerators are 8773,3113
Denominators are 611,4247
The GCF of 8773,3113 is 283 .
LCM of 611,4247 is 2594917.
The greatest common factor of 8773/611,3113/4247 = [GCF of 8773,3113]/[LCM of 611,4247]= 283/2594917
Therefore, the GCF of 8773/611,3113/4247 is 283/2594917.
To find the highest common factor of 8773,3113, we have to find the factors of both numbers and list the highest common factor.
The factors of 8773 are 1, 31, 283, 8773
The factors of 3113 are 1, 11, 283, 3113
The HCF of 8773,3113 is 283.
Lets's calculate GCF of 8773,3113
| 283 | 8773, 3113 |
| 31, 11 |
∴ So the GCF of the given numbers is 283 = 283
Greatest Common Factor of 8773,3113 By Matching Biggest Common Factor Method
Now, list down the factors of 8773
:1,31,283,8773
Now, list down the factors of 3113
:1,11,283,3113
Greatest Common Factor
We found the factors 8773,3113 . The biggest common factor number is the GCF number.
So the greatest common factor 8773,3113 is 283.
Lets's calculate LCM of 611,4247
Given numbers has no common factors except 1. So, there LCM is their product i.e 2594917
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 283/2594917
Therefore, the GCF of Fractions 8773/611,3113/4247 is 283/2594917
Least Common Multiple of 611,4247 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 611,4247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,4247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,4247) x common factors =1 x 1 = 1
LCM(611,4247) = ( 611 × 4247 ) / 1
LCM(611,4247) = 2594917 / 1
LCM(611,4247) = 2594917
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FAQs on GCF of Fractions of 8773/611, 3113/4247
1. What is the HCF of 8773,3113?
The HCF of 8773,3113 is 283
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 8773/611, 3113/4247?
Answer: GCF of Numerators as per given numbers 8773/611, 3113/4247 is
GCF of Numerators i.e. for 8773,3113 is 283
LCM of denominators i.e. for 611,4247 is 2594917.
Thus, GCF of Fractions is 283/2594917.Finally, GCF of Fractions for 8773/611, 3113/4247 is 283/2594917.