GCF of 8711/443, 6076/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8711/443, 6076/164 i.e 31/72652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8711/443, 6076/164.
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 8711/443,6076/164?
Given fractions are 8711/443,6076/164
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 8711/443,6076/164, numerators are 8711,6076
Denominators are 443,164
The GCF of 8711,6076 is 31 .
LCM of 443,164 is 72652.
The greatest common factor of 8711/443,6076/164 = [GCF of 8711,6076]/[LCM of 443,164]= 31/72652
Therefore, the GCF of 8711/443,6076/164 is 31/72652.
To find the highest common factor of 8711,6076, we have to find the factors of both numbers and list the highest common factor.
The factors of 8711 are 1, 31, 281, 8711
The factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076
The HCF of 8711,6076 is 31.
Lets's calculate GCF of 8711,6076
| 31 | 8711, 6076 |
| 281, 196 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 8711,6076 By Matching Biggest Common Factor Method
Now, list down the factors of 8711
:1,31,281,8711
Now, list down the factors of 6076
:1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076
Greatest Common Factor
We found the factors 8711,6076 . The biggest common factor number is the GCF number.
So the greatest common factor 8711,6076 is 31.
Lets's calculate LCM of 443,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 72652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/72652
Therefore, the GCF of Fractions 8711/443,6076/164 is 31/72652
Least Common Multiple of 443,164 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 443,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,164) x common factors =1 x 1 = 1
LCM(443,164) = ( 443 × 164 ) / 1
LCM(443,164) = 72652 / 1
LCM(443,164) = 72652
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FAQs on GCF of Fractions of 8711/443, 6076/164
1. What is the HCF of 8711,6076?
The HCF of 8711,6076 is 31
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 8711/443, 6076/164?
Answer: GCF of Numerators as per given numbers 8711/443, 6076/164 is
GCF of Numerators i.e. for 8711,6076 is 31
LCM of denominators i.e. for 443,164 is 72652.
Thus, GCF of Fractions is 31/72652.Finally, GCF of Fractions for 8711/443, 6076/164 is 31/72652.