GCF of 35/169, 664/348, 150/620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/169, 664/348, 150/620 i.e 1/9115860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/169, 664/348, 150/620.
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 35/169,664/348,150/620?
Given fractions are 35/169,664/348,150/620
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 35/169,664/348,150/620, numerators are 35,664,150
Denominators are 169,348,620
The GCF of 35,664,150 is 1 .
LCM of 169,348,620 is 9115860.
The greatest common factor of 35/169,664/348,150/620 = [GCF of 35,664,150]/[LCM of 169,348,620]= 1/9115860
Therefore, the GCF of 35/169,664/348,150/620 is 1/9115860.
To find the highest common factor of 35,664,150, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 35,664,150 is 1.
Lets's calculate GCF of 35,664,150
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 35,664,150 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 35,664,150 . The biggest common factor number is the GCF number.
So the greatest common factor 35,664,150 is 1.
Lets's calculate LCM of 169,348,620
| 2 | 169, 348, 620 |
| 2 | 169, 174, 310 |
| 169, 87, 155 |
∴ So the LCM of the given numbers is 2 x 2 x 169 x 87 x 155 = 9115860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9115860
Therefore, the GCF of Fractions 35/169,664/348,150/620 is 1/9115860
Least Common Multiple of 169,348,620 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 169,348,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,348,620) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(169,348,620) x common factors =1 x 4 = 4
LCM(169,348,620) = ( 169 × 348 × 620 ) / 4
LCM(169,348,620) = 36463440 / 4
LCM(169,348,620) = 9115860
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FAQs on GCF of Fractions of 35/169, 664/348, 150/620
1. What is the HCF of 35,664,150?
The HCF of 35,664,150 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 35/169, 664/348, 150/620?
Answer: GCF of Numerators as per given numbers 35/169, 664/348, 150/620 is
GCF of Numerators i.e. for 35,664,150 is 1
LCM of denominators i.e. for 169,348,620 is 9115860.
Thus, GCF of Fractions is 1/9115860.Finally, GCF of Fractions for 35/169, 664/348, 150/620 is 1/9115860.