GCF of 8624/167, 5686/1046
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8624/167, 5686/1046 i.e 2/174682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8624/167, 5686/1046.
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 8624/167,5686/1046?
Given fractions are 8624/167,5686/1046
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 8624/167,5686/1046, numerators are 8624,5686
Denominators are 167,1046
The GCF of 8624,5686 is 2 .
LCM of 167,1046 is 174682.
The greatest common factor of 8624/167,5686/1046 = [GCF of 8624,5686]/[LCM of 167,1046]= 2/174682
Therefore, the GCF of 8624/167,5686/1046 is 2/174682.
To find the highest common factor of 8624,5686, we have to find the factors of both numbers and list the highest common factor.
The factors of 8624 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624
The factors of 5686 are 1, 2, 2843, 5686
The HCF of 8624,5686 is 2.
Lets's calculate GCF of 8624,5686
| 2 | 8624, 5686 |
| 4312, 2843 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8624,5686 By Matching Biggest Common Factor Method
Now, list down the factors of 8624
:1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624
Now, list down the factors of 5686
:1,2,2843,5686
Greatest Common Factor
We found the factors 8624,5686 . The biggest common factor number is the GCF number.
So the greatest common factor 8624,5686 is 2.
Lets's calculate LCM of 167,1046
Given numbers has no common factors except 1. So, there LCM is their product i.e 174682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/174682
Therefore, the GCF of Fractions 8624/167,5686/1046 is 2/174682
Least Common Multiple of 167,1046 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 167,1046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,1046) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,1046) x common factors =1 x 1 = 1
LCM(167,1046) = ( 167 × 1046 ) / 1
LCM(167,1046) = 174682 / 1
LCM(167,1046) = 174682
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8624/167, 5686/1046
1. What is the HCF of 8624,5686?
The HCF of 8624,5686 is 2
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 8624/167, 5686/1046?
Answer: GCF of Numerators as per given numbers 8624/167, 5686/1046 is
GCF of Numerators i.e. for 8624,5686 is 2
LCM of denominators i.e. for 167,1046 is 174682.
Thus, GCF of Fractions is 2/174682.Finally, GCF of Fractions for 8624/167, 5686/1046 is 2/174682.