GCF of 3764/136, 9676/4006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3764/136, 9676/4006 i.e 4/272408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3764/136, 9676/4006.
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 3764/136,9676/4006?
Given fractions are 3764/136,9676/4006
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 3764/136,9676/4006, numerators are 3764,9676
Denominators are 136,4006
The GCF of 3764,9676 is 4 .
LCM of 136,4006 is 272408.
The greatest common factor of 3764/136,9676/4006 = [GCF of 3764,9676]/[LCM of 136,4006]= 4/272408
Therefore, the GCF of 3764/136,9676/4006 is 4/272408.
To find the highest common factor of 3764,9676, we have to find the factors of both numbers and list the highest common factor.
The factors of 3764 are 1, 2, 4, 941, 1882, 3764
The factors of 9676 are 1, 2, 4, 41, 59, 82, 118, 164, 236, 2419, 4838, 9676
The HCF of 3764,9676 is 4.
Lets's calculate GCF of 3764,9676
| 2 | 3764, 9676 |
| 2 | 1882, 4838 |
| 941, 2419 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3764,9676 By Matching Biggest Common Factor Method
Now, list down the factors of 3764
:1,2,4,941,1882,3764
Now, list down the factors of 9676
:1,2,4,41,59,82,118,164,236,2419,4838,9676
Greatest Common Factor
We found the factors 3764,9676 . The biggest common factor number is the GCF number.
So the greatest common factor 3764,9676 is 4.
Lets's calculate LCM of 136,4006
| 2 | 136, 4006 |
| 68, 2003 |
∴ So the LCM of the given numbers is 2 x 68 x 2003 = 272408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/272408
Therefore, the GCF of Fractions 3764/136,9676/4006 is 4/272408
Least Common Multiple of 136,4006 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 136,4006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,4006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(136,4006) x common factors =2 x 1 = 2
LCM(136,4006) = ( 136 × 4006 ) / 2
LCM(136,4006) = 544816 / 2
LCM(136,4006) = 272408
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FAQs on GCF of Fractions of 3764/136, 9676/4006
1. What is the HCF of 3764,9676?
The HCF of 3764,9676 is 4
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 3764/136, 9676/4006?
Answer: GCF of Numerators as per given numbers 3764/136, 9676/4006 is
GCF of Numerators i.e. for 3764,9676 is 4
LCM of denominators i.e. for 136,4006 is 272408.
Thus, GCF of Fractions is 4/272408.Finally, GCF of Fractions for 3764/136, 9676/4006 is 4/272408.