GCF of 4412/561, 3150/9032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4412/561, 3150/9032 i.e 2/5066952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4412/561, 3150/9032.
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 4412/561,3150/9032?
Given fractions are 4412/561,3150/9032
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 4412/561,3150/9032, numerators are 4412,3150
Denominators are 561,9032
The GCF of 4412,3150 is 2 .
LCM of 561,9032 is 5066952.
The greatest common factor of 4412/561,3150/9032 = [GCF of 4412,3150]/[LCM of 561,9032]= 2/5066952
Therefore, the GCF of 4412/561,3150/9032 is 2/5066952.
To find the highest common factor of 4412,3150, we have to find the factors of both numbers and list the highest common factor.
The factors of 4412 are 1, 2, 4, 1103, 2206, 4412
The factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
The HCF of 4412,3150 is 2.
Lets's calculate GCF of 4412,3150
| 2 | 4412, 3150 |
| 2206, 1575 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4412,3150 By Matching Biggest Common Factor Method
Now, list down the factors of 4412
:1,2,4,1103,2206,4412
Now, list down the factors of 3150
:1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Greatest Common Factor
We found the factors 4412,3150 . The biggest common factor number is the GCF number.
So the greatest common factor 4412,3150 is 2.
Lets's calculate LCM of 561,9032
Given numbers has no common factors except 1. So, there LCM is their product i.e 5066952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5066952
Therefore, the GCF of Fractions 4412/561,3150/9032 is 2/5066952
Least Common Multiple of 561,9032 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 561,9032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,9032) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,9032) x common factors =1 x 1 = 1
LCM(561,9032) = ( 561 × 9032 ) / 1
LCM(561,9032) = 5066952 / 1
LCM(561,9032) = 5066952
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FAQs on GCF of Fractions of 4412/561, 3150/9032
1. What is the HCF of 4412,3150?
The HCF of 4412,3150 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 4412/561, 3150/9032?
Answer: GCF of Numerators as per given numbers 4412/561, 3150/9032 is
GCF of Numerators i.e. for 4412,3150 is 2
LCM of denominators i.e. for 561,9032 is 5066952.
Thus, GCF of Fractions is 2/5066952.Finally, GCF of Fractions for 4412/561, 3150/9032 is 2/5066952.