GCF of 7326/262, 1992/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7326/262, 1992/757 i.e 6/198334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7326/262, 1992/757.
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 7326/262,1992/757?
Given fractions are 7326/262,1992/757
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 7326/262,1992/757, numerators are 7326,1992
Denominators are 262,757
The GCF of 7326,1992 is 6 .
LCM of 262,757 is 198334.
The greatest common factor of 7326/262,1992/757 = [GCF of 7326,1992]/[LCM of 262,757]= 6/198334
Therefore, the GCF of 7326/262,1992/757 is 6/198334.
To find the highest common factor of 7326,1992, we have to find the factors of both numbers and list the highest common factor.
The factors of 7326 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992
The HCF of 7326,1992 is 6.
Lets's calculate GCF of 7326,1992
| 2 | 7326, 1992 |
| 3 | 3663, 996 |
| 1221, 332 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7326,1992 By Matching Biggest Common Factor Method
Now, list down the factors of 7326
:1,2,3,6,9,11,18,22,33,37,66,74,99,111,198,222,333,407,666,814,1221,2442,3663,7326
Now, list down the factors of 1992
:1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992
Greatest Common Factor
We found the factors 7326,1992 . The biggest common factor number is the GCF number.
So the greatest common factor 7326,1992 is 6.
Lets's calculate LCM of 262,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 198334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/198334
Therefore, the GCF of Fractions 7326/262,1992/757 is 6/198334
Least Common Multiple of 262,757 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 262,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,757) x common factors =1 x 1 = 1
LCM(262,757) = ( 262 × 757 ) / 1
LCM(262,757) = 198334 / 1
LCM(262,757) = 198334
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FAQs on GCF of Fractions of 7326/262, 1992/757
1. What is the HCF of 7326,1992?
The HCF of 7326,1992 is 6
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 7326/262, 1992/757?
Answer: GCF of Numerators as per given numbers 7326/262, 1992/757 is
GCF of Numerators i.e. for 7326,1992 is 6
LCM of denominators i.e. for 262,757 is 198334.
Thus, GCF of Fractions is 6/198334.Finally, GCF of Fractions for 7326/262, 1992/757 is 6/198334.