GCF of 3752/132, 7084/7513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3752/132, 7084/7513 i.e 28/90156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3752/132, 7084/7513.
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 3752/132,7084/7513?
Given fractions are 3752/132,7084/7513
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 3752/132,7084/7513, numerators are 3752,7084
Denominators are 132,7513
The GCF of 3752,7084 is 28 .
LCM of 132,7513 is 90156.
The greatest common factor of 3752/132,7084/7513 = [GCF of 3752,7084]/[LCM of 132,7513]= 28/90156
Therefore, the GCF of 3752/132,7084/7513 is 28/90156.
To find the highest common factor of 3752,7084, we have to find the factors of both numbers and list the highest common factor.
The factors of 3752 are 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752
The factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084
The HCF of 3752,7084 is 28.
Lets's calculate GCF of 3752,7084
| 2 | 3752, 7084 |
| 2 | 1876, 3542 |
| 7 | 938, 1771 |
| 134, 253 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 3752,7084 By Matching Biggest Common Factor Method
Now, list down the factors of 3752
:1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752
Now, list down the factors of 7084
:1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084
Greatest Common Factor
We found the factors 3752,7084 . The biggest common factor number is the GCF number.
So the greatest common factor 3752,7084 is 28.
Lets's calculate LCM of 132,7513
| 11 | 132, 7513 |
| 12, 683 |
∴ So the LCM of the given numbers is 11 x 12 x 683 = 90156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/90156
Therefore, the GCF of Fractions 3752/132,7084/7513 is 28/90156
Least Common Multiple of 132,7513 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 132,7513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,7513) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(132,7513) x common factors =11 x 1 = 11
LCM(132,7513) = ( 132 × 7513 ) / 11
LCM(132,7513) = 991716 / 11
LCM(132,7513) = 90156
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FAQs on GCF of Fractions of 3752/132, 7084/7513
1. What is the HCF of 3752,7084?
The HCF of 3752,7084 is 28
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 3752/132, 7084/7513?
Answer: GCF of Numerators as per given numbers 3752/132, 7084/7513 is
GCF of Numerators i.e. for 3752,7084 is 28
LCM of denominators i.e. for 132,7513 is 90156.
Thus, GCF of Fractions is 28/90156.Finally, GCF of Fractions for 3752/132, 7084/7513 is 28/90156.