GCF of 930/968, 5890/5075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 930/968, 5890/5075 i.e 310/4912600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 930/968, 5890/5075.
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 930/968,5890/5075?
Given fractions are 930/968,5890/5075
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 930/968,5890/5075, numerators are 930,5890
Denominators are 968,5075
The GCF of 930,5890 is 310 .
LCM of 968,5075 is 4912600.
The greatest common factor of 930/968,5890/5075 = [GCF of 930,5890]/[LCM of 968,5075]= 310/4912600
Therefore, the GCF of 930/968,5890/5075 is 310/4912600.
To find the highest common factor of 930,5890, 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 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890
The HCF of 930,5890 is 310.
Lets's calculate GCF of 930,5890
| 2 | 930, 5890 |
| 5 | 465, 2945 |
| 31 | 93, 589 |
| 3, 19 |
∴ So the GCF of the given numbers is 2 x 5 x 31 = 310
Greatest Common Factor of 930,5890 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 5890
:1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890
Greatest Common Factor
We found the factors 930,5890 . The biggest common factor number is the GCF number.
So the greatest common factor 930,5890 is 310.
Lets's calculate LCM of 968,5075
Given numbers has no common factors except 1. So, there LCM is their product i.e 4912600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 310/4912600
Therefore, the GCF of Fractions 930/968,5890/5075 is 310/4912600
Least Common Multiple of 968,5075 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 968,5075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,5075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,5075) x common factors =1 x 1 = 1
LCM(968,5075) = ( 968 × 5075 ) / 1
LCM(968,5075) = 4912600 / 1
LCM(968,5075) = 4912600
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 930/968, 5890/5075
1. What is the HCF of 930,5890?
The HCF of 930,5890 is 310
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 930/968, 5890/5075?
Answer: GCF of Numerators as per given numbers 930/968, 5890/5075 is
GCF of Numerators i.e. for 930,5890 is 310
LCM of denominators i.e. for 968,5075 is 4912600.
Thus, GCF of Fractions is 310/4912600.Finally, GCF of Fractions for 930/968, 5890/5075 is 310/4912600.