GCF of 99/465, 72/182, 314/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/465, 72/182, 314/910 i.e 1/84630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/465, 72/182, 314/910.
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 99/465,72/182,314/910?
Given fractions are 99/465,72/182,314/910
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 99/465,72/182,314/910, numerators are 99,72,314
Denominators are 465,182,910
The GCF of 99,72,314 is 1 .
LCM of 465,182,910 is 84630.
The greatest common factor of 99/465,72/182,314/910 = [GCF of 99,72,314]/[LCM of 465,182,910]= 1/84630
Therefore, the GCF of 99/465,72/182,314/910 is 1/84630.
To find the highest common factor of 99,72,314, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 314 are 1, 2, 157, 314
The HCF of 99,72,314 is 1.
Lets's calculate GCF of 99,72,314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 99,72,314 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 314
:1,2,157,314
Greatest Common Factor
We found the factors 99,72,314 . The biggest common factor number is the GCF number.
So the greatest common factor 99,72,314 is 1.
Lets's calculate LCM of 465,182,910
| 2 | 465, 182, 910 |
| 5 | 465, 91, 455 |
| 7 | 93, 91, 91 |
| 13 | 93, 13, 13 |
| 93, 1, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 93 x 1 x 1 = 84630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84630
Therefore, the GCF of Fractions 99/465,72/182,314/910 is 1/84630
Least Common Multiple of 465,182,910 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 465,182,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,182,910) = 1
common factors(in case of two or more numbers have common factors) = 910
GCF(465,182,910) x common factors =1 x 910 = 910
LCM(465,182,910) = ( 465 × 182 × 910 ) / 910
LCM(465,182,910) = 77013300 / 910
LCM(465,182,910) = 84630
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FAQs on GCF of Fractions of 99/465, 72/182, 314/910
1. What is the HCF of 99,72,314?
The HCF of 99,72,314 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 99/465, 72/182, 314/910?
Answer: GCF of Numerators as per given numbers 99/465, 72/182, 314/910 is
GCF of Numerators i.e. for 99,72,314 is 1
LCM of denominators i.e. for 465,182,910 is 84630.
Thus, GCF of Fractions is 1/84630.Finally, GCF of Fractions for 99/465, 72/182, 314/910 is 1/84630.