GCF of 17/126, 67/166, 528/830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/126, 67/166, 528/830 i.e 1/52290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/126, 67/166, 528/830.
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 17/126,67/166,528/830?
Given fractions are 17/126,67/166,528/830
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 17/126,67/166,528/830, numerators are 17,67,528
Denominators are 126,166,830
The GCF of 17,67,528 is 1 .
LCM of 126,166,830 is 52290.
The greatest common factor of 17/126,67/166,528/830 = [GCF of 17,67,528]/[LCM of 126,166,830]= 1/52290
Therefore, the GCF of 17/126,67/166,528/830 is 1/52290.
To find the highest common factor of 17,67,528, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 67 are 1, 67
The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
The HCF of 17,67,528 is 1.
Lets's calculate GCF of 17,67,528
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,67,528 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 67
:1,67
Now, list down the factors of 528
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 17,67,528 . The biggest common factor number is the GCF number.
So the greatest common factor 17,67,528 is 1.
Lets's calculate LCM of 126,166,830
| 2 | 126, 166, 830 |
| 83 | 63, 83, 415 |
| 63, 1, 5 |
∴ So the LCM of the given numbers is 2 x 83 x 63 x 1 x 5 = 52290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52290
Therefore, the GCF of Fractions 17/126,67/166,528/830 is 1/52290
Least Common Multiple of 126,166,830 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 126,166,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,166,830) = 2
common factors(in case of two or more numbers have common factors) = 166
GCF(126,166,830) x common factors =2 x 166 = 332
LCM(126,166,830) = ( 126 × 166 × 830 ) / 332
LCM(126,166,830) = 17360280 / 332
LCM(126,166,830) = 52290
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FAQs on GCF of Fractions of 17/126, 67/166, 528/830
1. What is the HCF of 17,67,528?
The HCF of 17,67,528 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 17/126, 67/166, 528/830?
Answer: GCF of Numerators as per given numbers 17/126, 67/166, 528/830 is
GCF of Numerators i.e. for 17,67,528 is 1
LCM of denominators i.e. for 126,166,830 is 52290.
Thus, GCF of Fractions is 1/52290.Finally, GCF of Fractions for 17/126, 67/166, 528/830 is 1/52290.