GCF of 3786/372, 6875/1534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3786/372, 6875/1534 i.e 1/285324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3786/372, 6875/1534.
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 3786/372,6875/1534?
Given fractions are 3786/372,6875/1534
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 3786/372,6875/1534, numerators are 3786,6875
Denominators are 372,1534
The GCF of 3786,6875 is 1 .
LCM of 372,1534 is 285324.
The greatest common factor of 3786/372,6875/1534 = [GCF of 3786,6875]/[LCM of 372,1534]= 1/285324
Therefore, the GCF of 3786/372,6875/1534 is 1/285324.
To find the highest common factor of 3786,6875, we have to find the factors of both numbers and list the highest common factor.
The factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786
The factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875
The HCF of 3786,6875 is 1.
Lets's calculate GCF of 3786,6875
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3786,6875 By Matching Biggest Common Factor Method
Now, list down the factors of 3786
:1,2,3,6,631,1262,1893,3786
Now, list down the factors of 6875
:1,5,11,25,55,125,275,625,1375,6875
Greatest Common Factor
We found the factors 3786,6875 . The biggest common factor number is the GCF number.
So the greatest common factor 3786,6875 is 1.
Lets's calculate LCM of 372,1534
| 2 | 372, 1534 |
| 186, 767 |
∴ So the LCM of the given numbers is 2 x 186 x 767 = 285324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285324
Therefore, the GCF of Fractions 3786/372,6875/1534 is 1/285324
Least Common Multiple of 372,1534 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 372,1534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,1534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(372,1534) x common factors =2 x 1 = 2
LCM(372,1534) = ( 372 × 1534 ) / 2
LCM(372,1534) = 570648 / 2
LCM(372,1534) = 285324
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FAQs on GCF of Fractions of 3786/372, 6875/1534
1. What is the HCF of 3786,6875?
The HCF of 3786,6875 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 3786/372, 6875/1534?
Answer: GCF of Numerators as per given numbers 3786/372, 6875/1534 is
GCF of Numerators i.e. for 3786,6875 is 1
LCM of denominators i.e. for 372,1534 is 285324.
Thus, GCF of Fractions is 1/285324.Finally, GCF of Fractions for 3786/372, 6875/1534 is 1/285324.