GCF of 7226/159, 2100/7767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7226/159, 2100/7767 i.e 2/411651 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7226/159, 2100/7767.
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 7226/159,2100/7767?
Given fractions are 7226/159,2100/7767
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 7226/159,2100/7767, numerators are 7226,2100
Denominators are 159,7767
The GCF of 7226,2100 is 2 .
LCM of 159,7767 is 411651.
The greatest common factor of 7226/159,2100/7767 = [GCF of 7226,2100]/[LCM of 159,7767]= 2/411651
Therefore, the GCF of 7226/159,2100/7767 is 2/411651.
To find the highest common factor of 7226,2100, we have to find the factors of both numbers and list the highest common factor.
The factors of 7226 are 1, 2, 3613, 7226
The factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100
The HCF of 7226,2100 is 2.
Lets's calculate GCF of 7226,2100
| 2 | 7226, 2100 |
| 3613, 1050 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7226,2100 By Matching Biggest Common Factor Method
Now, list down the factors of 7226
:1,2,3613,7226
Now, list down the factors of 2100
:1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100
Greatest Common Factor
We found the factors 7226,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 7226,2100 is 2.
Lets's calculate LCM of 159,7767
| 3 | 159, 7767 |
| 53, 2589 |
∴ So the LCM of the given numbers is 3 x 53 x 2589 = 411651
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/411651
Therefore, the GCF of Fractions 7226/159,2100/7767 is 2/411651
Least Common Multiple of 159,7767 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 159,7767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,7767) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,7767) x common factors =3 x 1 = 3
LCM(159,7767) = ( 159 × 7767 ) / 3
LCM(159,7767) = 1234953 / 3
LCM(159,7767) = 411651
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FAQs on GCF of Fractions of 7226/159, 2100/7767
1. What is the HCF of 7226,2100?
The HCF of 7226,2100 is 2
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 7226/159, 2100/7767?
Answer: GCF of Numerators as per given numbers 7226/159, 2100/7767 is
GCF of Numerators i.e. for 7226,2100 is 2
LCM of denominators i.e. for 159,7767 is 411651.
Thus, GCF of Fractions is 2/411651.Finally, GCF of Fractions for 7226/159, 2100/7767 is 2/411651.