GCF of 4326/212, 3584/620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4326/212, 3584/620 i.e 14/32860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4326/212, 3584/620.
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 4326/212,3584/620?
Given fractions are 4326/212,3584/620
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 4326/212,3584/620, numerators are 4326,3584
Denominators are 212,620
The GCF of 4326,3584 is 14 .
LCM of 212,620 is 32860.
The greatest common factor of 4326/212,3584/620 = [GCF of 4326,3584]/[LCM of 212,620]= 14/32860
Therefore, the GCF of 4326/212,3584/620 is 14/32860.
To find the highest common factor of 4326,3584, we have to find the factors of both numbers and list the highest common factor.
The factors of 4326 are 1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163, 4326
The factors of 3584 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584
The HCF of 4326,3584 is 14.
Lets's calculate GCF of 4326,3584
| 2 | 4326, 3584 |
| 7 | 2163, 1792 |
| 309, 256 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4326,3584 By Matching Biggest Common Factor Method
Now, list down the factors of 4326
:1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326
Now, list down the factors of 3584
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584
Greatest Common Factor
We found the factors 4326,3584 . The biggest common factor number is the GCF number.
So the greatest common factor 4326,3584 is 14.
Lets's calculate LCM of 212,620
| 2 | 212, 620 |
| 2 | 106, 310 |
| 53, 155 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 155 = 32860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/32860
Therefore, the GCF of Fractions 4326/212,3584/620 is 14/32860
Least Common Multiple of 212,620 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 212,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,620) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,620) x common factors =4 x 1 = 4
LCM(212,620) = ( 212 × 620 ) / 4
LCM(212,620) = 131440 / 4
LCM(212,620) = 32860
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FAQs on GCF of Fractions of 4326/212, 3584/620
1. What is the HCF of 4326,3584?
The HCF of 4326,3584 is 14
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 4326/212, 3584/620?
Answer: GCF of Numerators as per given numbers 4326/212, 3584/620 is
GCF of Numerators i.e. for 4326,3584 is 14
LCM of denominators i.e. for 212,620 is 32860.
Thus, GCF of Fractions is 14/32860.Finally, GCF of Fractions for 4326/212, 3584/620 is 14/32860.