GCF of 8665/630, 4672/4788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8665/630, 4672/4788 i.e 1/23940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8665/630, 4672/4788.
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 8665/630,4672/4788?
Given fractions are 8665/630,4672/4788
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 8665/630,4672/4788, numerators are 8665,4672
Denominators are 630,4788
The GCF of 8665,4672 is 1 .
LCM of 630,4788 is 23940.
The greatest common factor of 8665/630,4672/4788 = [GCF of 8665,4672]/[LCM of 630,4788]= 1/23940
Therefore, the GCF of 8665/630,4672/4788 is 1/23940.
To find the highest common factor of 8665,4672, we have to find the factors of both numbers and list the highest common factor.
The factors of 8665 are 1, 5, 1733, 8665
The factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672
The HCF of 8665,4672 is 1.
Lets's calculate GCF of 8665,4672
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8665,4672 By Matching Biggest Common Factor Method
Now, list down the factors of 8665
:1,5,1733,8665
Now, list down the factors of 4672
:1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672
Greatest Common Factor
We found the factors 8665,4672 . The biggest common factor number is the GCF number.
So the greatest common factor 8665,4672 is 1.
Lets's calculate LCM of 630,4788
| 2 | 630, 4788 |
| 3 | 315, 2394 |
| 3 | 105, 798 |
| 7 | 35, 266 |
| 5, 38 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 38 = 23940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23940
Therefore, the GCF of Fractions 8665/630,4672/4788 is 1/23940
Least Common Multiple of 630,4788 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 630,4788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,4788) = 126
common factors(in case of two or more numbers have common factors) = 1
GCF(630,4788) x common factors =126 x 1 = 126
LCM(630,4788) = ( 630 × 4788 ) / 126
LCM(630,4788) = 3016440 / 126
LCM(630,4788) = 23940
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FAQs on GCF of Fractions of 8665/630, 4672/4788
1. What is the HCF of 8665,4672?
The HCF of 8665,4672 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 8665/630, 4672/4788?
Answer: GCF of Numerators as per given numbers 8665/630, 4672/4788 is
GCF of Numerators i.e. for 8665,4672 is 1
LCM of denominators i.e. for 630,4788 is 23940.
Thus, GCF of Fractions is 1/23940.Finally, GCF of Fractions for 8665/630, 4672/4788 is 1/23940.