GCF of 6751/210, 9120/4026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6751/210, 9120/4026 i.e 1/140910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6751/210, 9120/4026.
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 6751/210,9120/4026?
Given fractions are 6751/210,9120/4026
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 6751/210,9120/4026, numerators are 6751,9120
Denominators are 210,4026
The GCF of 6751,9120 is 1 .
LCM of 210,4026 is 140910.
The greatest common factor of 6751/210,9120/4026 = [GCF of 6751,9120]/[LCM of 210,4026]= 1/140910
Therefore, the GCF of 6751/210,9120/4026 is 1/140910.
To find the highest common factor of 6751,9120, we have to find the factors of both numbers and list the highest common factor.
The factors of 6751 are 1, 43, 157, 6751
The factors of 9120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120
The HCF of 6751,9120 is 1.
Lets's calculate GCF of 6751,9120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6751,9120 By Matching Biggest Common Factor Method
Now, list down the factors of 6751
:1,43,157,6751
Now, list down the factors of 9120
:1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120
Greatest Common Factor
We found the factors 6751,9120 . The biggest common factor number is the GCF number.
So the greatest common factor 6751,9120 is 1.
Lets's calculate LCM of 210,4026
| 2 | 210, 4026 |
| 3 | 105, 2013 |
| 35, 671 |
∴ So the LCM of the given numbers is 2 x 3 x 35 x 671 = 140910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140910
Therefore, the GCF of Fractions 6751/210,9120/4026 is 1/140910
Least Common Multiple of 210,4026 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 210,4026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,4026) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(210,4026) x common factors =6 x 1 = 6
LCM(210,4026) = ( 210 × 4026 ) / 6
LCM(210,4026) = 845460 / 6
LCM(210,4026) = 140910
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FAQs on GCF of Fractions of 6751/210, 9120/4026
1. What is the HCF of 6751,9120?
The HCF of 6751,9120 is 1
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 6751/210, 9120/4026?
Answer: GCF of Numerators as per given numbers 6751/210, 9120/4026 is
GCF of Numerators i.e. for 6751,9120 is 1
LCM of denominators i.e. for 210,4026 is 140910.
Thus, GCF of Fractions is 1/140910.Finally, GCF of Fractions for 6751/210, 9120/4026 is 1/140910.