GCF of 8634/148, 4785/3588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8634/148, 4785/3588 i.e 3/132756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8634/148, 4785/3588.
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 8634/148,4785/3588?
Given fractions are 8634/148,4785/3588
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 8634/148,4785/3588, numerators are 8634,4785
Denominators are 148,3588
The GCF of 8634,4785 is 3 .
LCM of 148,3588 is 132756.
The greatest common factor of 8634/148,4785/3588 = [GCF of 8634,4785]/[LCM of 148,3588]= 3/132756
Therefore, the GCF of 8634/148,4785/3588 is 3/132756.
To find the highest common factor of 8634,4785, we have to find the factors of both numbers and list the highest common factor.
The factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634
The factors of 4785 are 1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785
The HCF of 8634,4785 is 3.
Lets's calculate GCF of 8634,4785
| 3 | 8634, 4785 |
| 2878, 1595 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8634,4785 By Matching Biggest Common Factor Method
Now, list down the factors of 8634
:1,2,3,6,1439,2878,4317,8634
Now, list down the factors of 4785
:1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785
Greatest Common Factor
We found the factors 8634,4785 . The biggest common factor number is the GCF number.
So the greatest common factor 8634,4785 is 3.
Lets's calculate LCM of 148,3588
| 2 | 148, 3588 |
| 2 | 74, 1794 |
| 37, 897 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 897 = 132756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/132756
Therefore, the GCF of Fractions 8634/148,4785/3588 is 3/132756
Least Common Multiple of 148,3588 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 148,3588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,3588) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(148,3588) x common factors =4 x 1 = 4
LCM(148,3588) = ( 148 × 3588 ) / 4
LCM(148,3588) = 531024 / 4
LCM(148,3588) = 132756
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FAQs on GCF of Fractions of 8634/148, 4785/3588
1. What is the HCF of 8634,4785?
The HCF of 8634,4785 is 3
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 8634/148, 4785/3588?
Answer: GCF of Numerators as per given numbers 8634/148, 4785/3588 is
GCF of Numerators i.e. for 8634,4785 is 3
LCM of denominators i.e. for 148,3588 is 132756.
Thus, GCF of Fractions is 3/132756.Finally, GCF of Fractions for 8634/148, 4785/3588 is 3/132756.