GCF of 3764/990, 1276/338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3764/990, 1276/338 i.e 4/167310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3764/990, 1276/338.
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 3764/990,1276/338?
Given fractions are 3764/990,1276/338
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 3764/990,1276/338, numerators are 3764,1276
Denominators are 990,338
The GCF of 3764,1276 is 4 .
LCM of 990,338 is 167310.
The greatest common factor of 3764/990,1276/338 = [GCF of 3764,1276]/[LCM of 990,338]= 4/167310
Therefore, the GCF of 3764/990,1276/338 is 4/167310.
To find the highest common factor of 3764,1276, 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 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276
The HCF of 3764,1276 is 4.
Lets's calculate GCF of 3764,1276
| 2 | 3764, 1276 |
| 2 | 1882, 638 |
| 941, 319 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3764,1276 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 1276
:1,2,4,11,22,29,44,58,116,319,638,1276
Greatest Common Factor
We found the factors 3764,1276 . The biggest common factor number is the GCF number.
So the greatest common factor 3764,1276 is 4.
Lets's calculate LCM of 990,338
| 2 | 990, 338 |
| 495, 169 |
∴ So the LCM of the given numbers is 2 x 495 x 169 = 167310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/167310
Therefore, the GCF of Fractions 3764/990,1276/338 is 4/167310
Least Common Multiple of 990,338 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 990,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(990,338) x common factors =2 x 1 = 2
LCM(990,338) = ( 990 × 338 ) / 2
LCM(990,338) = 334620 / 2
LCM(990,338) = 167310
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FAQs on GCF of Fractions of 3764/990, 1276/338
1. What is the HCF of 3764,1276?
The HCF of 3764,1276 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 3764/990, 1276/338?
Answer: GCF of Numerators as per given numbers 3764/990, 1276/338 is
GCF of Numerators i.e. for 3764,1276 is 4
LCM of denominators i.e. for 990,338 is 167310.
Thus, GCF of Fractions is 4/167310.Finally, GCF of Fractions for 3764/990, 1276/338 is 4/167310.