GCF of 930/977, 6165/5867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 930/977, 6165/5867 i.e 15/5732059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 930/977, 6165/5867.
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 930/977,6165/5867?
Given fractions are 930/977,6165/5867
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 930/977,6165/5867, numerators are 930,6165
Denominators are 977,5867
The GCF of 930,6165 is 15 .
LCM of 977,5867 is 5732059.
The greatest common factor of 930/977,6165/5867 = [GCF of 930,6165]/[LCM of 977,5867]= 15/5732059
Therefore, the GCF of 930/977,6165/5867 is 15/5732059.
To find the highest common factor of 930,6165, we have to find the factors of both numbers and list the highest common factor.
The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
The factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165
The HCF of 930,6165 is 15.
Lets's calculate GCF of 930,6165
| 3 | 930, 6165 |
| 5 | 310, 2055 |
| 62, 411 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 930,6165 By Matching Biggest Common Factor Method
Now, list down the factors of 930
:1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Now, list down the factors of 6165
:1,3,5,9,15,45,137,411,685,1233,2055,6165
Greatest Common Factor
We found the factors 930,6165 . The biggest common factor number is the GCF number.
So the greatest common factor 930,6165 is 15.
Lets's calculate LCM of 977,5867
Given numbers has no common factors except 1. So, there LCM is their product i.e 5732059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/5732059
Therefore, the GCF of Fractions 930/977,6165/5867 is 15/5732059
Least Common Multiple of 977,5867 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 977,5867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,5867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,5867) x common factors =1 x 1 = 1
LCM(977,5867) = ( 977 × 5867 ) / 1
LCM(977,5867) = 5732059 / 1
LCM(977,5867) = 5732059
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FAQs on GCF of Fractions of 930/977, 6165/5867
1. What is the HCF of 930,6165?
The HCF of 930,6165 is 15
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 930/977, 6165/5867?
Answer: GCF of Numerators as per given numbers 930/977, 6165/5867 is
GCF of Numerators i.e. for 930,6165 is 15
LCM of denominators i.e. for 977,5867 is 5732059.
Thus, GCF of Fractions is 15/5732059.Finally, GCF of Fractions for 930/977, 6165/5867 is 15/5732059.