GCF of 4412/712, 9200/8348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4412/712, 9200/8348 i.e 4/1485944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4412/712, 9200/8348.
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 4412/712,9200/8348?
Given fractions are 4412/712,9200/8348
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 4412/712,9200/8348, numerators are 4412,9200
Denominators are 712,8348
The GCF of 4412,9200 is 4 .
LCM of 712,8348 is 1485944.
The greatest common factor of 4412/712,9200/8348 = [GCF of 4412,9200]/[LCM of 712,8348]= 4/1485944
Therefore, the GCF of 4412/712,9200/8348 is 4/1485944.
To find the highest common factor of 4412,9200, 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 9200 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600, 9200
The HCF of 4412,9200 is 4.
Lets's calculate GCF of 4412,9200
| 2 | 4412, 9200 |
| 2 | 2206, 4600 |
| 1103, 2300 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4412,9200 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 9200
:1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200
Greatest Common Factor
We found the factors 4412,9200 . The biggest common factor number is the GCF number.
So the greatest common factor 4412,9200 is 4.
Lets's calculate LCM of 712,8348
| 2 | 712, 8348 |
| 2 | 356, 4174 |
| 178, 2087 |
∴ So the LCM of the given numbers is 2 x 2 x 178 x 2087 = 1485944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1485944
Therefore, the GCF of Fractions 4412/712,9200/8348 is 4/1485944
Least Common Multiple of 712,8348 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 712,8348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,8348) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(712,8348) x common factors =4 x 1 = 4
LCM(712,8348) = ( 712 × 8348 ) / 4
LCM(712,8348) = 5943776 / 4
LCM(712,8348) = 1485944
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FAQs on GCF of Fractions of 4412/712, 9200/8348
1. What is the HCF of 4412,9200?
The HCF of 4412,9200 is 4
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 4412/712, 9200/8348?
Answer: GCF of Numerators as per given numbers 4412/712, 9200/8348 is
GCF of Numerators i.e. for 4412,9200 is 4
LCM of denominators i.e. for 712,8348 is 1485944.
Thus, GCF of Fractions is 4/1485944.Finally, GCF of Fractions for 4412/712, 9200/8348 is 4/1485944.