GCF of 4622/912, 3087/176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4622/912, 3087/176 i.e 1/10032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4622/912, 3087/176.
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 4622/912,3087/176?
Given fractions are 4622/912,3087/176
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 4622/912,3087/176, numerators are 4622,3087
Denominators are 912,176
The GCF of 4622,3087 is 1 .
LCM of 912,176 is 10032.
The greatest common factor of 4622/912,3087/176 = [GCF of 4622,3087]/[LCM of 912,176]= 1/10032
Therefore, the GCF of 4622/912,3087/176 is 1/10032.
To find the highest common factor of 4622,3087, we have to find the factors of both numbers and list the highest common factor.
The factors of 4622 are 1, 2, 2311, 4622
The factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087
The HCF of 4622,3087 is 1.
Lets's calculate GCF of 4622,3087
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4622,3087 By Matching Biggest Common Factor Method
Now, list down the factors of 4622
:1,2,2311,4622
Now, list down the factors of 3087
:1,3,7,9,21,49,63,147,343,441,1029,3087
Greatest Common Factor
We found the factors 4622,3087 . The biggest common factor number is the GCF number.
So the greatest common factor 4622,3087 is 1.
Lets's calculate LCM of 912,176
| 2 | 912, 176 |
| 2 | 456, 88 |
| 2 | 228, 44 |
| 2 | 114, 22 |
| 57, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 57 x 11 = 10032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10032
Therefore, the GCF of Fractions 4622/912,3087/176 is 1/10032
Least Common Multiple of 912,176 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 912,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,176) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(912,176) x common factors =16 x 1 = 16
LCM(912,176) = ( 912 × 176 ) / 16
LCM(912,176) = 160512 / 16
LCM(912,176) = 10032
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FAQs on GCF of Fractions of 4622/912, 3087/176
1. What is the HCF of 4622,3087?
The HCF of 4622,3087 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 4622/912, 3087/176?
Answer: GCF of Numerators as per given numbers 4622/912, 3087/176 is
GCF of Numerators i.e. for 4622,3087 is 1
LCM of denominators i.e. for 912,176 is 10032.
Thus, GCF of Fractions is 1/10032.Finally, GCF of Fractions for 4622/912, 3087/176 is 1/10032.