GCF of 9750/864, 6800/9607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9750/864, 6800/9607 i.e 50/8300448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9750/864, 6800/9607.
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 9750/864,6800/9607?
Given fractions are 9750/864,6800/9607
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 9750/864,6800/9607, numerators are 9750,6800
Denominators are 864,9607
The GCF of 9750,6800 is 50 .
LCM of 864,9607 is 8300448.
The greatest common factor of 9750/864,6800/9607 = [GCF of 9750,6800]/[LCM of 864,9607]= 50/8300448
Therefore, the GCF of 9750/864,6800/9607 is 50/8300448.
To find the highest common factor of 9750,6800, we have to find the factors of both numbers and list the highest common factor.
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 factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800
The HCF of 9750,6800 is 50.
Lets's calculate GCF of 9750,6800
| 2 | 9750, 6800 |
| 5 | 4875, 3400 |
| 5 | 975, 680 |
| 195, 136 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 9750,6800 By Matching Biggest Common Factor Method
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
Now, list down the factors of 6800
:1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800
Greatest Common Factor
We found the factors 9750,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 9750,6800 is 50.
Lets's calculate LCM of 864,9607
Given numbers has no common factors except 1. So, there LCM is their product i.e 8300448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/8300448
Therefore, the GCF of Fractions 9750/864,6800/9607 is 50/8300448
Least Common Multiple of 864,9607 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 864,9607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,9607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(864,9607) x common factors =1 x 1 = 1
LCM(864,9607) = ( 864 × 9607 ) / 1
LCM(864,9607) = 8300448 / 1
LCM(864,9607) = 8300448
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9750/864, 6800/9607
1. What is the HCF of 9750,6800?
The HCF of 9750,6800 is 50
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 9750/864, 6800/9607?
Answer: GCF of Numerators as per given numbers 9750/864, 6800/9607 is
GCF of Numerators i.e. for 9750,6800 is 50
LCM of denominators i.e. for 864,9607 is 8300448.
Thus, GCF of Fractions is 50/8300448.Finally, GCF of Fractions for 9750/864, 6800/9607 is 50/8300448.