GCF of 7512/442, 3234/6803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7512/442, 3234/6803 i.e 6/3006926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7512/442, 3234/6803.
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 7512/442,3234/6803?
Given fractions are 7512/442,3234/6803
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 7512/442,3234/6803, numerators are 7512,3234
Denominators are 442,6803
The GCF of 7512,3234 is 6 .
LCM of 442,6803 is 3006926.
The greatest common factor of 7512/442,3234/6803 = [GCF of 7512,3234]/[LCM of 442,6803]= 6/3006926
Therefore, the GCF of 7512/442,3234/6803 is 6/3006926.
To find the highest common factor of 7512,3234, we have to find the factors of both numbers and list the highest common factor.
The factors of 7512 are 1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756, 7512
The factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234
The HCF of 7512,3234 is 6.
Lets's calculate GCF of 7512,3234
| 2 | 7512, 3234 |
| 3 | 3756, 1617 |
| 1252, 539 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7512,3234 By Matching Biggest Common Factor Method
Now, list down the factors of 7512
:1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512
Now, list down the factors of 3234
:1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234
Greatest Common Factor
We found the factors 7512,3234 . The biggest common factor number is the GCF number.
So the greatest common factor 7512,3234 is 6.
Lets's calculate LCM of 442,6803
Given numbers has no common factors except 1. So, there LCM is their product i.e 3006926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3006926
Therefore, the GCF of Fractions 7512/442,3234/6803 is 6/3006926
Least Common Multiple of 442,6803 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 442,6803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,6803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(442,6803) x common factors =1 x 1 = 1
LCM(442,6803) = ( 442 × 6803 ) / 1
LCM(442,6803) = 3006926 / 1
LCM(442,6803) = 3006926
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FAQs on GCF of Fractions of 7512/442, 3234/6803
1. What is the HCF of 7512,3234?
The HCF of 7512,3234 is 6
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 7512/442, 3234/6803?
Answer: GCF of Numerators as per given numbers 7512/442, 3234/6803 is
GCF of Numerators i.e. for 7512,3234 is 6
LCM of denominators i.e. for 442,6803 is 3006926.
Thus, GCF of Fractions is 6/3006926.Finally, GCF of Fractions for 7512/442, 3234/6803 is 6/3006926.