GCF of 3957/375, 9630/387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3957/375, 9630/387 i.e 3/48375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3957/375, 9630/387.
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 3957/375,9630/387?
Given fractions are 3957/375,9630/387
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 3957/375,9630/387, numerators are 3957,9630
Denominators are 375,387
The GCF of 3957,9630 is 3 .
LCM of 375,387 is 48375.
The greatest common factor of 3957/375,9630/387 = [GCF of 3957,9630]/[LCM of 375,387]= 3/48375
Therefore, the GCF of 3957/375,9630/387 is 3/48375.
To find the highest common factor of 3957,9630, we have to find the factors of both numbers and list the highest common factor.
The factors of 3957 are 1, 3, 1319, 3957
The factors of 9630 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630
The HCF of 3957,9630 is 3.
Lets's calculate GCF of 3957,9630
| 3 | 3957, 9630 |
| 1319, 3210 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3957,9630 By Matching Biggest Common Factor Method
Now, list down the factors of 3957
:1,3,1319,3957
Now, list down the factors of 9630
:1,2,3,5,6,9,10,15,18,30,45,90,107,214,321,535,642,963,1070,1605,1926,3210,4815,9630
Greatest Common Factor
We found the factors 3957,9630 . The biggest common factor number is the GCF number.
So the greatest common factor 3957,9630 is 3.
Lets's calculate LCM of 375,387
| 3 | 375, 387 |
| 125, 129 |
∴ So the LCM of the given numbers is 3 x 125 x 129 = 48375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48375
Therefore, the GCF of Fractions 3957/375,9630/387 is 3/48375
Least Common Multiple of 375,387 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 375,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,387) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(375,387) x common factors =3 x 1 = 3
LCM(375,387) = ( 375 × 387 ) / 3
LCM(375,387) = 145125 / 3
LCM(375,387) = 48375
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FAQs on GCF of Fractions of 3957/375, 9630/387
1. What is the HCF of 3957,9630?
The HCF of 3957,9630 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 3957/375, 9630/387?
Answer: GCF of Numerators as per given numbers 3957/375, 9630/387 is
GCF of Numerators i.e. for 3957,9630 is 3
LCM of denominators i.e. for 375,387 is 48375.
Thus, GCF of Fractions is 3/48375.Finally, GCF of Fractions for 3957/375, 9630/387 is 3/48375.