GCF of 3552/362, 6844/9492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3552/362, 6844/9492 i.e 4/1718052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3552/362, 6844/9492.
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 3552/362,6844/9492?
Given fractions are 3552/362,6844/9492
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 3552/362,6844/9492, numerators are 3552,6844
Denominators are 362,9492
The GCF of 3552,6844 is 4 .
LCM of 362,9492 is 1718052.
The greatest common factor of 3552/362,6844/9492 = [GCF of 3552,6844]/[LCM of 362,9492]= 4/1718052
Therefore, the GCF of 3552/362,6844/9492 is 4/1718052.
To find the highest common factor of 3552,6844, we have to find the factors of both numbers and list the highest common factor.
The factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552
The factors of 6844 are 1, 2, 4, 29, 58, 59, 116, 118, 236, 1711, 3422, 6844
The HCF of 3552,6844 is 4.
Lets's calculate GCF of 3552,6844
| 2 | 3552, 6844 |
| 2 | 1776, 3422 |
| 888, 1711 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3552,6844 By Matching Biggest Common Factor Method
Now, list down the factors of 3552
:1,2,3,4,6,8,12,16,24,32,37,48,74,96,111,148,222,296,444,592,888,1184,1776,3552
Now, list down the factors of 6844
:1,2,4,29,58,59,116,118,236,1711,3422,6844
Greatest Common Factor
We found the factors 3552,6844 . The biggest common factor number is the GCF number.
So the greatest common factor 3552,6844 is 4.
Lets's calculate LCM of 362,9492
| 2 | 362, 9492 |
| 181, 4746 |
∴ So the LCM of the given numbers is 2 x 181 x 4746 = 1718052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1718052
Therefore, the GCF of Fractions 3552/362,6844/9492 is 4/1718052
Least Common Multiple of 362,9492 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 362,9492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,9492) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,9492) x common factors =2 x 1 = 2
LCM(362,9492) = ( 362 × 9492 ) / 2
LCM(362,9492) = 3436104 / 2
LCM(362,9492) = 1718052
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FAQs on GCF of Fractions of 3552/362, 6844/9492
1. What is the HCF of 3552,6844?
The HCF of 3552,6844 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 3552/362, 6844/9492?
Answer: GCF of Numerators as per given numbers 3552/362, 6844/9492 is
GCF of Numerators i.e. for 3552,6844 is 4
LCM of denominators i.e. for 362,9492 is 1718052.
Thus, GCF of Fractions is 4/1718052.Finally, GCF of Fractions for 3552/362, 6844/9492 is 4/1718052.