GCF of 956/274, 309/340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 956/274, 309/340 i.e 1/46580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 956/274, 309/340.
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 956/274,309/340?
Given fractions are 956/274,309/340
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 956/274,309/340, numerators are 956,309
Denominators are 274,340
The GCF of 956,309 is 1 .
LCM of 274,340 is 46580.
The greatest common factor of 956/274,309/340 = [GCF of 956,309]/[LCM of 274,340]= 1/46580
Therefore, the GCF of 956/274,309/340 is 1/46580.
To find the highest common factor of 956,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 956 are 1, 2, 4, 239, 478, 956
The factors of 309 are 1, 3, 103, 309
The HCF of 956,309 is 1.
Lets's calculate GCF of 956,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 956,309 By Matching Biggest Common Factor Method
Now, list down the factors of 956
:1,2,4,239,478,956
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 956,309 . The biggest common factor number is the GCF number.
So the greatest common factor 956,309 is 1.
Lets's calculate LCM of 274,340
| 2 | 274, 340 |
| 137, 170 |
∴ So the LCM of the given numbers is 2 x 137 x 170 = 46580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46580
Therefore, the GCF of Fractions 956/274,309/340 is 1/46580
Least Common Multiple of 274,340 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 274,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,340) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,340) x common factors =2 x 1 = 2
LCM(274,340) = ( 274 × 340 ) / 2
LCM(274,340) = 93160 / 2
LCM(274,340) = 46580
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FAQs on GCF of Fractions of 956/274, 309/340
1. What is the HCF of 956,309?
The HCF of 956,309 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 956/274, 309/340?
Answer: GCF of Numerators as per given numbers 956/274, 309/340 is
GCF of Numerators i.e. for 956,309 is 1
LCM of denominators i.e. for 274,340 is 46580.
Thus, GCF of Fractions is 1/46580.Finally, GCF of Fractions for 956/274, 309/340 is 1/46580.