GCF of 169/282, 655/350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 169/282, 655/350 i.e 1/49350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 169/282, 655/350.
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 169/282,655/350?
Given fractions are 169/282,655/350
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 169/282,655/350, numerators are 169,655
Denominators are 282,350
The GCF of 169,655 is 1 .
LCM of 282,350 is 49350.
The greatest common factor of 169/282,655/350 = [GCF of 169,655]/[LCM of 282,350]= 1/49350
Therefore, the GCF of 169/282,655/350 is 1/49350.
To find the highest common factor of 169,655, we have to find the factors of both numbers and list the highest common factor.
The factors of 169 are 1, 13, 169
The factors of 655 are 1, 5, 131, 655
The HCF of 169,655 is 1.
Lets's calculate GCF of 169,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 169,655 By Matching Biggest Common Factor Method
Now, list down the factors of 169
:1,13,169
Now, list down the factors of 655
:1,5,131,655
Greatest Common Factor
We found the factors 169,655 . The biggest common factor number is the GCF number.
So the greatest common factor 169,655 is 1.
Lets's calculate LCM of 282,350
| 2 | 282, 350 |
| 141, 175 |
∴ So the LCM of the given numbers is 2 x 141 x 175 = 49350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49350
Therefore, the GCF of Fractions 169/282,655/350 is 1/49350
Least Common Multiple of 282,350 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 282,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,350) x common factors =2 x 1 = 2
LCM(282,350) = ( 282 × 350 ) / 2
LCM(282,350) = 98700 / 2
LCM(282,350) = 49350
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FAQs on GCF of Fractions of 169/282, 655/350
1. What is the HCF of 169,655?
The HCF of 169,655 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 169/282, 655/350?
Answer: GCF of Numerators as per given numbers 169/282, 655/350 is
GCF of Numerators i.e. for 169,655 is 1
LCM of denominators i.e. for 282,350 is 49350.
Thus, GCF of Fractions is 1/49350.Finally, GCF of Fractions for 169/282, 655/350 is 1/49350.