GCF of 9570/875, 6840/1976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9570/875, 6840/1976 i.e 30/1729000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9570/875, 6840/1976.
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 9570/875,6840/1976?
Given fractions are 9570/875,6840/1976
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 9570/875,6840/1976, numerators are 9570,6840
Denominators are 875,1976
The GCF of 9570,6840 is 30 .
LCM of 875,1976 is 1729000.
The greatest common factor of 9570/875,6840/1976 = [GCF of 9570,6840]/[LCM of 875,1976]= 30/1729000
Therefore, the GCF of 9570/875,6840/1976 is 30/1729000.
To find the highest common factor of 9570,6840, we have to find the factors of both numbers and list the highest common factor.
The factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570
The factors of 6840 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420, 6840
The HCF of 9570,6840 is 30.
Lets's calculate GCF of 9570,6840
| 2 | 9570, 6840 |
| 3 | 4785, 3420 |
| 5 | 1595, 1140 |
| 319, 228 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 9570,6840 By Matching Biggest Common Factor Method
Now, list down the factors of 9570
:1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570
Now, list down the factors of 6840
:1,2,3,4,5,6,8,9,10,12,15,18,19,20,24,30,36,38,40,45,57,60,72,76,90,95,114,120,152,171,180,190,228,285,342,360,380,456,570,684,760,855,1140,1368,1710,2280,3420,6840
Greatest Common Factor
We found the factors 9570,6840 . The biggest common factor number is the GCF number.
So the greatest common factor 9570,6840 is 30.
Lets's calculate LCM of 875,1976
Given numbers has no common factors except 1. So, there LCM is their product i.e 1729000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1729000
Therefore, the GCF of Fractions 9570/875,6840/1976 is 30/1729000
Least Common Multiple of 875,1976 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 875,1976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,1976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,1976) x common factors =1 x 1 = 1
LCM(875,1976) = ( 875 × 1976 ) / 1
LCM(875,1976) = 1729000 / 1
LCM(875,1976) = 1729000
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FAQs on GCF of Fractions of 9570/875, 6840/1976
1. What is the HCF of 9570,6840?
The HCF of 9570,6840 is 30
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 9570/875, 6840/1976?
Answer: GCF of Numerators as per given numbers 9570/875, 6840/1976 is
GCF of Numerators i.e. for 9570,6840 is 30
LCM of denominators i.e. for 875,1976 is 1729000.
Thus, GCF of Fractions is 30/1729000.Finally, GCF of Fractions for 9570/875, 6840/1976 is 30/1729000.