GCF of 34/299, 351/360, 654/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/299, 351/360, 654/274 i.e 1/14746680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/299, 351/360, 654/274.
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 34/299,351/360,654/274?
Given fractions are 34/299,351/360,654/274
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 34/299,351/360,654/274, numerators are 34,351,654
Denominators are 299,360,274
The GCF of 34,351,654 is 1 .
LCM of 299,360,274 is 14746680.
The greatest common factor of 34/299,351/360,654/274 = [GCF of 34,351,654]/[LCM of 299,360,274]= 1/14746680
Therefore, the GCF of 34/299,351/360,654/274 is 1/14746680.
To find the highest common factor of 34,351,654, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The HCF of 34,351,654 is 1.
Lets's calculate GCF of 34,351,654
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,351,654 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 34,351,654 . The biggest common factor number is the GCF number.
So the greatest common factor 34,351,654 is 1.
Lets's calculate LCM of 299,360,274
| 2 | 299, 360, 274 |
| 299, 180, 137 |
∴ So the LCM of the given numbers is 2 x 299 x 180 x 137 = 14746680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14746680
Therefore, the GCF of Fractions 34/299,351/360,654/274 is 1/14746680
Least Common Multiple of 299,360,274 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 299,360,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,360,274) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(299,360,274) x common factors =1 x 2 = 2
LCM(299,360,274) = ( 299 × 360 × 274 ) / 2
LCM(299,360,274) = 29493360 / 2
LCM(299,360,274) = 14746680
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FAQs on GCF of Fractions of 34/299, 351/360, 654/274
1. What is the HCF of 34,351,654?
The HCF of 34,351,654 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 34/299, 351/360, 654/274?
Answer: GCF of Numerators as per given numbers 34/299, 351/360, 654/274 is
GCF of Numerators i.e. for 34,351,654 is 1
LCM of denominators i.e. for 299,360,274 is 14746680.
Thus, GCF of Fractions is 1/14746680.Finally, GCF of Fractions for 34/299, 351/360, 654/274 is 1/14746680.