GCF of 3252/749, 7836/6612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3252/749, 7836/6612 i.e 12/4952388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3252/749, 7836/6612.
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 3252/749,7836/6612?
Given fractions are 3252/749,7836/6612
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 3252/749,7836/6612, numerators are 3252,7836
Denominators are 749,6612
The GCF of 3252,7836 is 12 .
LCM of 749,6612 is 4952388.
The greatest common factor of 3252/749,7836/6612 = [GCF of 3252,7836]/[LCM of 749,6612]= 12/4952388
Therefore, the GCF of 3252/749,7836/6612 is 12/4952388.
To find the highest common factor of 3252,7836, we have to find the factors of both numbers and list the highest common factor.
The factors of 3252 are 1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252
The factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836
The HCF of 3252,7836 is 12.
Lets's calculate GCF of 3252,7836
| 2 | 3252, 7836 |
| 2 | 1626, 3918 |
| 3 | 813, 1959 |
| 271, 653 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3252,7836 By Matching Biggest Common Factor Method
Now, list down the factors of 3252
:1,2,3,4,6,12,271,542,813,1084,1626,3252
Now, list down the factors of 7836
:1,2,3,4,6,12,653,1306,1959,2612,3918,7836
Greatest Common Factor
We found the factors 3252,7836 . The biggest common factor number is the GCF number.
So the greatest common factor 3252,7836 is 12.
Lets's calculate LCM of 749,6612
Given numbers has no common factors except 1. So, there LCM is their product i.e 4952388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4952388
Therefore, the GCF of Fractions 3252/749,7836/6612 is 12/4952388
Least Common Multiple of 749,6612 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 749,6612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,6612) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,6612) x common factors =1 x 1 = 1
LCM(749,6612) = ( 749 × 6612 ) / 1
LCM(749,6612) = 4952388 / 1
LCM(749,6612) = 4952388
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FAQs on GCF of Fractions of 3252/749, 7836/6612
1. What is the HCF of 3252,7836?
The HCF of 3252,7836 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 3252/749, 7836/6612?
Answer: GCF of Numerators as per given numbers 3252/749, 7836/6612 is
GCF of Numerators i.e. for 3252,7836 is 12
LCM of denominators i.e. for 749,6612 is 4952388.
Thus, GCF of Fractions is 12/4952388.Finally, GCF of Fractions for 3252/749, 7836/6612 is 12/4952388.