GCF of 307/490, 394/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 307/490, 394/506 i.e 1/123970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 307/490, 394/506.
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 307/490,394/506?
Given fractions are 307/490,394/506
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 307/490,394/506, numerators are 307,394
Denominators are 490,506
The GCF of 307,394 is 1 .
LCM of 490,506 is 123970.
The greatest common factor of 307/490,394/506 = [GCF of 307,394]/[LCM of 490,506]= 1/123970
Therefore, the GCF of 307/490,394/506 is 1/123970.
To find the highest common factor of 307,394, we have to find the factors of both numbers and list the highest common factor.
The factors of 307 are 1, 307
The factors of 394 are 1, 2, 197, 394
The HCF of 307,394 is 1.
Lets's calculate GCF of 307,394
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 307,394 By Matching Biggest Common Factor Method
Now, list down the factors of 307
:1,307
Now, list down the factors of 394
:1,2,197,394
Greatest Common Factor
We found the factors 307,394 . The biggest common factor number is the GCF number.
So the greatest common factor 307,394 is 1.
Lets's calculate LCM of 490,506
| 2 | 490, 506 |
| 245, 253 |
∴ So the LCM of the given numbers is 2 x 245 x 253 = 123970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123970
Therefore, the GCF of Fractions 307/490,394/506 is 1/123970
Least Common Multiple of 490,506 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 490,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,506) x common factors =2 x 1 = 2
LCM(490,506) = ( 490 × 506 ) / 2
LCM(490,506) = 247940 / 2
LCM(490,506) = 123970
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FAQs on GCF of Fractions of 307/490, 394/506
1. What is the HCF of 307,394?
The HCF of 307,394 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 307/490, 394/506?
Answer: GCF of Numerators as per given numbers 307/490, 394/506 is
GCF of Numerators i.e. for 307,394 is 1
LCM of denominators i.e. for 490,506 is 123970.
Thus, GCF of Fractions is 1/123970.Finally, GCF of Fractions for 307/490, 394/506 is 1/123970.