GCF of 965/388, 9750/5310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 965/388, 9750/5310 i.e 5/1030140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 965/388, 9750/5310.
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 965/388,9750/5310?
Given fractions are 965/388,9750/5310
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 965/388,9750/5310, numerators are 965,9750
Denominators are 388,5310
The GCF of 965,9750 is 5 .
LCM of 388,5310 is 1030140.
The greatest common factor of 965/388,9750/5310 = [GCF of 965,9750]/[LCM of 388,5310]= 5/1030140
Therefore, the GCF of 965/388,9750/5310 is 5/1030140.
To find the highest common factor of 965,9750, we have to find the factors of both numbers and list the highest common factor.
The factors of 965 are 1, 5, 193, 965
The factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750
The HCF of 965,9750 is 5.
Lets's calculate GCF of 965,9750
| 5 | 965, 9750 |
| 193, 1950 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 965,9750 By Matching Biggest Common Factor Method
Now, list down the factors of 965
:1,5,193,965
Now, list down the factors of 9750
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750
Greatest Common Factor
We found the factors 965,9750 . The biggest common factor number is the GCF number.
So the greatest common factor 965,9750 is 5.
Lets's calculate LCM of 388,5310
| 2 | 388, 5310 |
| 194, 2655 |
∴ So the LCM of the given numbers is 2 x 194 x 2655 = 1030140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1030140
Therefore, the GCF of Fractions 965/388,9750/5310 is 5/1030140
Least Common Multiple of 388,5310 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 388,5310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,5310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,5310) x common factors =2 x 1 = 2
LCM(388,5310) = ( 388 × 5310 ) / 2
LCM(388,5310) = 2060280 / 2
LCM(388,5310) = 1030140
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FAQs on GCF of Fractions of 965/388, 9750/5310
1. What is the HCF of 965,9750?
The HCF of 965,9750 is 5
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 965/388, 9750/5310?
Answer: GCF of Numerators as per given numbers 965/388, 9750/5310 is
GCF of Numerators i.e. for 965,9750 is 5
LCM of denominators i.e. for 388,5310 is 1030140.
Thus, GCF of Fractions is 5/1030140.Finally, GCF of Fractions for 965/388, 9750/5310 is 5/1030140.