GCF of 4708/132, 6527/4144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4708/132, 6527/4144 i.e 107/136752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4708/132, 6527/4144.
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 4708/132,6527/4144?
Given fractions are 4708/132,6527/4144
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 4708/132,6527/4144, numerators are 4708,6527
Denominators are 132,4144
The GCF of 4708,6527 is 107 .
LCM of 132,4144 is 136752.
The greatest common factor of 4708/132,6527/4144 = [GCF of 4708,6527]/[LCM of 132,4144]= 107/136752
Therefore, the GCF of 4708/132,6527/4144 is 107/136752.
To find the highest common factor of 4708,6527, we have to find the factors of both numbers and list the highest common factor.
The factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708
The factors of 6527 are 1, 61, 107, 6527
The HCF of 4708,6527 is 107.
Lets's calculate GCF of 4708,6527
| 107 | 4708, 6527 |
| 44, 61 |
∴ So the GCF of the given numbers is 107 = 107
Greatest Common Factor of 4708,6527 By Matching Biggest Common Factor Method
Now, list down the factors of 4708
:1,2,4,11,22,44,107,214,428,1177,2354,4708
Now, list down the factors of 6527
:1,61,107,6527
Greatest Common Factor
We found the factors 4708,6527 . The biggest common factor number is the GCF number.
So the greatest common factor 4708,6527 is 107.
Lets's calculate LCM of 132,4144
| 2 | 132, 4144 |
| 2 | 66, 2072 |
| 33, 1036 |
∴ So the LCM of the given numbers is 2 x 2 x 33 x 1036 = 136752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 107/136752
Therefore, the GCF of Fractions 4708/132,6527/4144 is 107/136752
Least Common Multiple of 132,4144 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 132,4144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,4144) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(132,4144) x common factors =4 x 1 = 4
LCM(132,4144) = ( 132 × 4144 ) / 4
LCM(132,4144) = 547008 / 4
LCM(132,4144) = 136752
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FAQs on GCF of Fractions of 4708/132, 6527/4144
1. What is the HCF of 4708,6527?
The HCF of 4708,6527 is 107
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 4708/132, 6527/4144?
Answer: GCF of Numerators as per given numbers 4708/132, 6527/4144 is
GCF of Numerators i.e. for 4708,6527 is 107
LCM of denominators i.e. for 132,4144 is 136752.
Thus, GCF of Fractions is 107/136752.Finally, GCF of Fractions for 4708/132, 6527/4144 is 107/136752.