GCF of 741/28, 274/9290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 741/28, 274/9290 i.e 1/130060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/28, 274/9290.
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 741/28,274/9290?
Given fractions are 741/28,274/9290
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 741/28,274/9290, numerators are 741,274
Denominators are 28,9290
The GCF of 741,274 is 1 .
LCM of 28,9290 is 130060.
The greatest common factor of 741/28,274/9290 = [GCF of 741,274]/[LCM of 28,9290]= 1/130060
Therefore, the GCF of 741/28,274/9290 is 1/130060.
To find the highest common factor of 741,274, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 274 are 1, 2, 137, 274
The HCF of 741,274 is 1.
Lets's calculate GCF of 741,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 741,274 By Matching Biggest Common Factor Method
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 274
:1,2,137,274
Greatest Common Factor
We found the factors 741,274 . The biggest common factor number is the GCF number.
So the greatest common factor 741,274 is 1.
Lets's calculate LCM of 28,9290
| 2 | 28, 9290 |
| 14, 4645 |
∴ So the LCM of the given numbers is 2 x 14 x 4645 = 130060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130060
Therefore, the GCF of Fractions 741/28,274/9290 is 1/130060
Least Common Multiple of 28,9290 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 28,9290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,9290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,9290) x common factors =2 x 1 = 2
LCM(28,9290) = ( 28 × 9290 ) / 2
LCM(28,9290) = 260120 / 2
LCM(28,9290) = 130060
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FAQs on GCF of Fractions of 741/28, 274/9290
1. What is the HCF of 741,274?
The HCF of 741,274 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 741/28, 274/9290?
Answer: GCF of Numerators as per given numbers 741/28, 274/9290 is
GCF of Numerators i.e. for 741,274 is 1
LCM of denominators i.e. for 28,9290 is 130060.
Thus, GCF of Fractions is 1/130060.Finally, GCF of Fractions for 741/28, 274/9290 is 1/130060.