GCF of 946/417, 274/306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 946/417, 274/306 i.e 2/42534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 946/417, 274/306.
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 946/417,274/306?
Given fractions are 946/417,274/306
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 946/417,274/306, numerators are 946,274
Denominators are 417,306
The GCF of 946,274 is 2 .
LCM of 417,306 is 42534.
The greatest common factor of 946/417,274/306 = [GCF of 946,274]/[LCM of 417,306]= 2/42534
Therefore, the GCF of 946/417,274/306 is 2/42534.
To find the highest common factor of 946,274, we have to find the factors of both numbers and list the highest common factor.
The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946
The factors of 274 are 1, 2, 137, 274
The HCF of 946,274 is 2.
Lets's calculate GCF of 946,274
| 2 | 946, 274 |
| 473, 137 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 946,274 By Matching Biggest Common Factor Method
Now, list down the factors of 946
:1,2,11,22,43,86,473,946
Now, list down the factors of 274
:1,2,137,274
Greatest Common Factor
We found the factors 946,274 . The biggest common factor number is the GCF number.
So the greatest common factor 946,274 is 2.
Lets's calculate LCM of 417,306
| 3 | 417, 306 |
| 139, 102 |
∴ So the LCM of the given numbers is 3 x 139 x 102 = 42534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42534
Therefore, the GCF of Fractions 946/417,274/306 is 2/42534
Least Common Multiple of 417,306 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 417,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,306) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,306) x common factors =3 x 1 = 3
LCM(417,306) = ( 417 × 306 ) / 3
LCM(417,306) = 127602 / 3
LCM(417,306) = 42534
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FAQs on GCF of Fractions of 946/417, 274/306
1. What is the HCF of 946,274?
The HCF of 946,274 is 2
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 946/417, 274/306?
Answer: GCF of Numerators as per given numbers 946/417, 274/306 is
GCF of Numerators i.e. for 946,274 is 2
LCM of denominators i.e. for 417,306 is 42534.
Thus, GCF of Fractions is 2/42534.Finally, GCF of Fractions for 946/417, 274/306 is 2/42534.