GCF of 476/3140, 731/4090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 476/3140, 731/4090 i.e 17/1284260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/3140, 731/4090.
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 476/3140,731/4090?
Given fractions are 476/3140,731/4090
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 476/3140,731/4090, numerators are 476,731
Denominators are 3140,4090
The GCF of 476,731 is 17 .
LCM of 3140,4090 is 1284260.
The greatest common factor of 476/3140,731/4090 = [GCF of 476,731]/[LCM of 3140,4090]= 17/1284260
Therefore, the GCF of 476/3140,731/4090 is 17/1284260.
To find the highest common factor of 476,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The factors of 731 are 1, 17, 43, 731
The HCF of 476,731 is 17.
Lets's calculate GCF of 476,731
| 17 | 476, 731 |
| 28, 43 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 476,731 By Matching Biggest Common Factor Method
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 476,731 . The biggest common factor number is the GCF number.
So the greatest common factor 476,731 is 17.
Lets's calculate LCM of 3140,4090
| 2 | 3140, 4090 |
| 5 | 1570, 2045 |
| 314, 409 |
∴ So the LCM of the given numbers is 2 x 5 x 314 x 409 = 1284260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1284260
Therefore, the GCF of Fractions 476/3140,731/4090 is 17/1284260
Least Common Multiple of 3140,4090 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 3140,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3140,4090) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(3140,4090) x common factors =10 x 1 = 10
LCM(3140,4090) = ( 3140 × 4090 ) / 10
LCM(3140,4090) = 12842600 / 10
LCM(3140,4090) = 1284260
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FAQs on GCF of Fractions of 476/3140, 731/4090
1. What is the HCF of 476,731?
The HCF of 476,731 is 17
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 476/3140, 731/4090?
Answer: GCF of Numerators as per given numbers 476/3140, 731/4090 is
GCF of Numerators i.e. for 476,731 is 17
LCM of denominators i.e. for 3140,4090 is 1284260.
Thus, GCF of Fractions is 17/1284260.Finally, GCF of Fractions for 476/3140, 731/4090 is 17/1284260.