GCF of 7469/988, 5766/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7469/988, 5766/722 i.e 1/18772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7469/988, 5766/722.
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 7469/988,5766/722?
Given fractions are 7469/988,5766/722
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 7469/988,5766/722, numerators are 7469,5766
Denominators are 988,722
The GCF of 7469,5766 is 1 .
LCM of 988,722 is 18772.
The greatest common factor of 7469/988,5766/722 = [GCF of 7469,5766]/[LCM of 988,722]= 1/18772
Therefore, the GCF of 7469/988,5766/722 is 1/18772.
To find the highest common factor of 7469,5766, we have to find the factors of both numbers and list the highest common factor.
The factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469
The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766
The HCF of 7469,5766 is 1.
Lets's calculate GCF of 7469,5766
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7469,5766 By Matching Biggest Common Factor Method
Now, list down the factors of 7469
:1,7,11,77,97,679,1067,7469
Now, list down the factors of 5766
:1,2,3,6,31,62,93,186,961,1922,2883,5766
Greatest Common Factor
We found the factors 7469,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 7469,5766 is 1.
Lets's calculate LCM of 988,722
| 2 | 988, 722 |
| 19 | 494, 361 |
| 26, 19 |
∴ So the LCM of the given numbers is 2 x 19 x 26 x 19 = 18772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18772
Therefore, the GCF of Fractions 7469/988,5766/722 is 1/18772
Least Common Multiple of 988,722 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 988,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,722) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(988,722) x common factors =38 x 1 = 38
LCM(988,722) = ( 988 × 722 ) / 38
LCM(988,722) = 713336 / 38
LCM(988,722) = 18772
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FAQs on GCF of Fractions of 7469/988, 5766/722
1. What is the HCF of 7469,5766?
The HCF of 7469,5766 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 7469/988, 5766/722?
Answer: GCF of Numerators as per given numbers 7469/988, 5766/722 is
GCF of Numerators i.e. for 7469,5766 is 1
LCM of denominators i.e. for 988,722 is 18772.
Thus, GCF of Fractions is 1/18772.Finally, GCF of Fractions for 7469/988, 5766/722 is 1/18772.