GCF of 108/785, 930/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 108/785, 930/149 i.e 6/116965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 108/785, 930/149.
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 108/785,930/149?
Given fractions are 108/785,930/149
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 108/785,930/149, numerators are 108,930
Denominators are 785,149
The GCF of 108,930 is 6 .
LCM of 785,149 is 116965.
The greatest common factor of 108/785,930/149 = [GCF of 108,930]/[LCM of 785,149]= 6/116965
Therefore, the GCF of 108/785,930/149 is 6/116965.
To find the highest common factor of 108,930, we have to find the factors of both numbers and list the highest common factor.
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
The HCF of 108,930 is 6.
Lets's calculate GCF of 108,930
| 2 | 108, 930 |
| 3 | 54, 465 |
| 18, 155 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 108,930 By Matching Biggest Common Factor Method
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Now, list down the factors of 930
:1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 108,930 . The biggest common factor number is the GCF number.
So the greatest common factor 108,930 is 6.
Lets's calculate LCM of 785,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 116965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/116965
Therefore, the GCF of Fractions 108/785,930/149 is 6/116965
Least Common Multiple of 785,149 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 785,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,149) x common factors =1 x 1 = 1
LCM(785,149) = ( 785 × 149 ) / 1
LCM(785,149) = 116965 / 1
LCM(785,149) = 116965
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FAQs on GCF of Fractions of 108/785, 930/149
1. What is the HCF of 108,930?
The HCF of 108,930 is 6
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 108/785, 930/149?
Answer: GCF of Numerators as per given numbers 108/785, 930/149 is
GCF of Numerators i.e. for 108,930 is 6
LCM of denominators i.e. for 785,149 is 116965.
Thus, GCF of Fractions is 6/116965.Finally, GCF of Fractions for 108/785, 930/149 is 6/116965.