GCF of 168/645, 5089/290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 168/645, 5089/290 i.e 7/37410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 168/645, 5089/290.
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 168/645,5089/290?
Given fractions are 168/645,5089/290
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 168/645,5089/290, numerators are 168,5089
Denominators are 645,290
The GCF of 168,5089 is 7 .
LCM of 645,290 is 37410.
The greatest common factor of 168/645,5089/290 = [GCF of 168,5089]/[LCM of 645,290]= 7/37410
Therefore, the GCF of 168/645,5089/290 is 7/37410.
To find the highest common factor of 168,5089, we have to find the factors of both numbers and list the highest common factor.
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 5089 are 1, 7, 727, 5089
The HCF of 168,5089 is 7.
Lets's calculate GCF of 168,5089
| 7 | 168, 5089 |
| 24, 727 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 168,5089 By Matching Biggest Common Factor Method
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Now, list down the factors of 5089
:1,7,727,5089
Greatest Common Factor
We found the factors 168,5089 . The biggest common factor number is the GCF number.
So the greatest common factor 168,5089 is 7.
Lets's calculate LCM of 645,290
| 5 | 645, 290 |
| 129, 58 |
∴ So the LCM of the given numbers is 5 x 129 x 58 = 37410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/37410
Therefore, the GCF of Fractions 168/645,5089/290 is 7/37410
Least Common Multiple of 645,290 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 645,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,290) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(645,290) x common factors =5 x 1 = 5
LCM(645,290) = ( 645 × 290 ) / 5
LCM(645,290) = 187050 / 5
LCM(645,290) = 37410
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FAQs on GCF of Fractions of 168/645, 5089/290
1. What is the HCF of 168,5089?
The HCF of 168,5089 is 7
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 168/645, 5089/290?
Answer: GCF of Numerators as per given numbers 168/645, 5089/290 is
GCF of Numerators i.e. for 168,5089 is 7
LCM of denominators i.e. for 645,290 is 37410.
Thus, GCF of Fractions is 7/37410.Finally, GCF of Fractions for 168/645, 5089/290 is 7/37410.