GCF of 3372/972, 5724/1423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3372/972, 5724/1423 i.e 12/1383156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3372/972, 5724/1423.
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 3372/972,5724/1423?
Given fractions are 3372/972,5724/1423
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 3372/972,5724/1423, numerators are 3372,5724
Denominators are 972,1423
The GCF of 3372,5724 is 12 .
LCM of 972,1423 is 1383156.
The greatest common factor of 3372/972,5724/1423 = [GCF of 3372,5724]/[LCM of 972,1423]= 12/1383156
Therefore, the GCF of 3372/972,5724/1423 is 12/1383156.
To find the highest common factor of 3372,5724, we have to find the factors of both numbers and list the highest common factor.
The factors of 3372 are 1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372
The factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724
The HCF of 3372,5724 is 12.
Lets's calculate GCF of 3372,5724
| 2 | 3372, 5724 |
| 2 | 1686, 2862 |
| 3 | 843, 1431 |
| 281, 477 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3372,5724 By Matching Biggest Common Factor Method
Now, list down the factors of 3372
:1,2,3,4,6,12,281,562,843,1124,1686,3372
Now, list down the factors of 5724
:1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724
Greatest Common Factor
We found the factors 3372,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 3372,5724 is 12.
Lets's calculate LCM of 972,1423
Given numbers has no common factors except 1. So, there LCM is their product i.e 1383156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1383156
Therefore, the GCF of Fractions 3372/972,5724/1423 is 12/1383156
Least Common Multiple of 972,1423 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 972,1423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,1423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,1423) x common factors =1 x 1 = 1
LCM(972,1423) = ( 972 × 1423 ) / 1
LCM(972,1423) = 1383156 / 1
LCM(972,1423) = 1383156
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FAQs on GCF of Fractions of 3372/972, 5724/1423
1. What is the HCF of 3372,5724?
The HCF of 3372,5724 is 12
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 3372/972, 5724/1423?
Answer: GCF of Numerators as per given numbers 3372/972, 5724/1423 is
GCF of Numerators i.e. for 3372,5724 is 12
LCM of denominators i.e. for 972,1423 is 1383156.
Thus, GCF of Fractions is 12/1383156.Finally, GCF of Fractions for 3372/972, 5724/1423 is 12/1383156.