GCF of 916/46, 347/42, 499/77
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 916/46, 347/42, 499/77 i.e 1/10626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 916/46, 347/42, 499/77.
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 916/46,347/42,499/77?
Given fractions are 916/46,347/42,499/77
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 916/46,347/42,499/77, numerators are 916,347,499
Denominators are 46,42,77
The GCF of 916,347,499 is 1 .
LCM of 46,42,77 is 10626.
The greatest common factor of 916/46,347/42,499/77 = [GCF of 916,347,499]/[LCM of 46,42,77]= 1/10626
Therefore, the GCF of 916/46,347/42,499/77 is 1/10626.
To find the highest common factor of 916,347,499, we have to find the factors of both numbers and list the highest common factor.
The factors of 916 are 1, 2, 4, 229, 458, 916
The factors of 347 are 1, 347
The factors of 499 are 1, 499
The HCF of 916,347,499 is 1.
Lets's calculate GCF of 916,347,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 916,347,499 By Matching Biggest Common Factor Method
Now, list down the factors of 916
:1,2,4,229,458,916
Now, list down the factors of 347
:1,347
Now, list down the factors of 499
:1,499
Greatest Common Factor
We found the factors 916,347,499 . The biggest common factor number is the GCF number.
So the greatest common factor 916,347,499 is 1.
Lets's calculate LCM of 46,42,77
| 2 | 46, 42, 77 |
| 7 | 23, 21, 77 |
| 23, 3, 11 |
∴ So the LCM of the given numbers is 2 x 7 x 23 x 3 x 11 = 10626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10626
Therefore, the GCF of Fractions 916/46,347/42,499/77 is 1/10626
Least Common Multiple of 46,42,77 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 46,42,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,42,77) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(46,42,77) x common factors =1 x 14 = 14
LCM(46,42,77) = ( 46 × 42 × 77 ) / 14
LCM(46,42,77) = 148764 / 14
LCM(46,42,77) = 10626
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FAQs on GCF of Fractions of 916/46, 347/42, 499/77
1. What is the HCF of 916,347,499?
The HCF of 916,347,499 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 916/46, 347/42, 499/77?
Answer: GCF of Numerators as per given numbers 916/46, 347/42, 499/77 is
GCF of Numerators i.e. for 916,347,499 is 1
LCM of denominators i.e. for 46,42,77 is 10626.
Thus, GCF of Fractions is 1/10626.Finally, GCF of Fractions for 916/46, 347/42, 499/77 is 1/10626.