GCF of 3875/636, 6612/9684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3875/636, 6612/9684 i.e 1/513252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3875/636, 6612/9684.
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 3875/636,6612/9684?
Given fractions are 3875/636,6612/9684
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 3875/636,6612/9684, numerators are 3875,6612
Denominators are 636,9684
The GCF of 3875,6612 is 1 .
LCM of 636,9684 is 513252.
The greatest common factor of 3875/636,6612/9684 = [GCF of 3875,6612]/[LCM of 636,9684]= 1/513252
Therefore, the GCF of 3875/636,6612/9684 is 1/513252.
To find the highest common factor of 3875,6612, we have to find the factors of both numbers and list the highest common factor.
The factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875
The factors of 6612 are 1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612
The HCF of 3875,6612 is 1.
Lets's calculate GCF of 3875,6612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3875,6612 By Matching Biggest Common Factor Method
Now, list down the factors of 3875
:1,5,25,31,125,155,775,3875
Now, list down the factors of 6612
:1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612
Greatest Common Factor
We found the factors 3875,6612 . The biggest common factor number is the GCF number.
So the greatest common factor 3875,6612 is 1.
Lets's calculate LCM of 636,9684
| 2 | 636, 9684 |
| 2 | 318, 4842 |
| 3 | 159, 2421 |
| 53, 807 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 807 = 513252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/513252
Therefore, the GCF of Fractions 3875/636,6612/9684 is 1/513252
Least Common Multiple of 636,9684 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 636,9684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,9684) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(636,9684) x common factors =12 x 1 = 12
LCM(636,9684) = ( 636 × 9684 ) / 12
LCM(636,9684) = 6159024 / 12
LCM(636,9684) = 513252
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FAQs on GCF of Fractions of 3875/636, 6612/9684
1. What is the HCF of 3875,6612?
The HCF of 3875,6612 is 1
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 3875/636, 6612/9684?
Answer: GCF of Numerators as per given numbers 3875/636, 6612/9684 is
GCF of Numerators i.e. for 3875,6612 is 1
LCM of denominators i.e. for 636,9684 is 513252.
Thus, GCF of Fractions is 1/513252.Finally, GCF of Fractions for 3875/636, 6612/9684 is 1/513252.