GCF of 17/408, 13/952, 702/520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/408, 13/952, 702/520 i.e 1/185640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/408, 13/952, 702/520.
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 17/408,13/952,702/520?
Given fractions are 17/408,13/952,702/520
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 17/408,13/952,702/520, numerators are 17,13,702
Denominators are 408,952,520
The GCF of 17,13,702 is 1 .
LCM of 408,952,520 is 185640.
The greatest common factor of 17/408,13/952,702/520 = [GCF of 17,13,702]/[LCM of 408,952,520]= 1/185640
Therefore, the GCF of 17/408,13/952,702/520 is 1/185640.
To find the highest common factor of 17,13,702, 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 13 are 1, 13
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The HCF of 17,13,702 is 1.
Lets's calculate GCF of 17,13,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,13,702 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 13
:1,13
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 17,13,702 . The biggest common factor number is the GCF number.
So the greatest common factor 17,13,702 is 1.
Lets's calculate LCM of 408,952,520
| 2 | 408, 952, 520 |
| 2 | 204, 476, 260 |
| 2 | 102, 238, 130 |
| 17 | 51, 119, 65 |
| 3, 7, 65 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 3 x 7 x 65 = 185640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185640
Therefore, the GCF of Fractions 17/408,13/952,702/520 is 1/185640
Least Common Multiple of 408,952,520 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 408,952,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,952,520) = 8
common factors(in case of two or more numbers have common factors) = 136
GCF(408,952,520) x common factors =8 x 136 = 1088
LCM(408,952,520) = ( 408 × 952 × 520 ) / 1088
LCM(408,952,520) = 201976320 / 1088
LCM(408,952,520) = 185640
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FAQs on GCF of Fractions of 17/408, 13/952, 702/520
1. What is the HCF of 17,13,702?
The HCF of 17,13,702 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 17/408, 13/952, 702/520?
Answer: GCF of Numerators as per given numbers 17/408, 13/952, 702/520 is
GCF of Numerators i.e. for 17,13,702 is 1
LCM of denominators i.e. for 408,952,520 is 185640.
Thus, GCF of Fractions is 1/185640.Finally, GCF of Fractions for 17/408, 13/952, 702/520 is 1/185640.