GCF of 34/11, 185/28, 351/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/11, 185/28, 351/410 i.e 1/63140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/11, 185/28, 351/410.
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 34/11,185/28,351/410?
Given fractions are 34/11,185/28,351/410
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 34/11,185/28,351/410, numerators are 34,185,351
Denominators are 11,28,410
The GCF of 34,185,351 is 1 .
LCM of 11,28,410 is 63140.
The greatest common factor of 34/11,185/28,351/410 = [GCF of 34,185,351]/[LCM of 11,28,410]= 1/63140
Therefore, the GCF of 34/11,185/28,351/410 is 1/63140.
To find the highest common factor of 34,185,351, 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 185 are 1, 5, 37, 185
The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351
The HCF of 34,185,351 is 1.
Lets's calculate GCF of 34,185,351
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,185,351 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 185
:1,5,37,185
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 34,185,351 . The biggest common factor number is the GCF number.
So the greatest common factor 34,185,351 is 1.
Lets's calculate LCM of 11,28,410
| 2 | 11, 28, 410 |
| 11, 14, 205 |
∴ So the LCM of the given numbers is 2 x 11 x 14 x 205 = 63140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63140
Therefore, the GCF of Fractions 34/11,185/28,351/410 is 1/63140
Least Common Multiple of 11,28,410 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 11,28,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,28,410) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(11,28,410) x common factors =1 x 2 = 2
LCM(11,28,410) = ( 11 × 28 × 410 ) / 2
LCM(11,28,410) = 126280 / 2
LCM(11,28,410) = 63140
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FAQs on GCF of Fractions of 34/11, 185/28, 351/410
1. What is the HCF of 34,185,351?
The HCF of 34,185,351 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 34/11, 185/28, 351/410?
Answer: GCF of Numerators as per given numbers 34/11, 185/28, 351/410 is
GCF of Numerators i.e. for 34,185,351 is 1
LCM of denominators i.e. for 11,28,410 is 63140.
Thus, GCF of Fractions is 1/63140.Finally, GCF of Fractions for 34/11, 185/28, 351/410 is 1/63140.