GCF of 4704/623, 9267/8707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4704/623, 9267/8707 i.e 3/5424461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4704/623, 9267/8707.
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 4704/623,9267/8707?
Given fractions are 4704/623,9267/8707
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 4704/623,9267/8707, numerators are 4704,9267
Denominators are 623,8707
The GCF of 4704,9267 is 3 .
LCM of 623,8707 is 5424461.
The greatest common factor of 4704/623,9267/8707 = [GCF of 4704,9267]/[LCM of 623,8707]= 3/5424461
Therefore, the GCF of 4704/623,9267/8707 is 3/5424461.
To find the highest common factor of 4704,9267, we have to find the factors of both numbers and list the highest common factor.
The factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704
The factors of 9267 are 1, 3, 3089, 9267
The HCF of 4704,9267 is 3.
Lets's calculate GCF of 4704,9267
| 3 | 4704, 9267 |
| 1568, 3089 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4704,9267 By Matching Biggest Common Factor Method
Now, list down the factors of 4704
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704
Now, list down the factors of 9267
:1,3,3089,9267
Greatest Common Factor
We found the factors 4704,9267 . The biggest common factor number is the GCF number.
So the greatest common factor 4704,9267 is 3.
Lets's calculate LCM of 623,8707
Given numbers has no common factors except 1. So, there LCM is their product i.e 5424461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5424461
Therefore, the GCF of Fractions 4704/623,9267/8707 is 3/5424461
Least Common Multiple of 623,8707 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 623,8707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,8707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,8707) x common factors =1 x 1 = 1
LCM(623,8707) = ( 623 × 8707 ) / 1
LCM(623,8707) = 5424461 / 1
LCM(623,8707) = 5424461
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4704/623, 9267/8707
1. What is the HCF of 4704,9267?
The HCF of 4704,9267 is 3
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 4704/623, 9267/8707?
Answer: GCF of Numerators as per given numbers 4704/623, 9267/8707 is
GCF of Numerators i.e. for 4704,9267 is 3
LCM of denominators i.e. for 623,8707 is 5424461.
Thus, GCF of Fractions is 3/5424461.Finally, GCF of Fractions for 4704/623, 9267/8707 is 3/5424461.