GCF of 355/460, 686/752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 355/460, 686/752 i.e 1/86480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/460, 686/752.
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 355/460,686/752?
Given fractions are 355/460,686/752
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 355/460,686/752, numerators are 355,686
Denominators are 460,752
The GCF of 355,686 is 1 .
LCM of 460,752 is 86480.
The greatest common factor of 355/460,686/752 = [GCF of 355,686]/[LCM of 460,752]= 1/86480
Therefore, the GCF of 355/460,686/752 is 1/86480.
To find the highest common factor of 355,686, we have to find the factors of both numbers and list the highest common factor.
The factors of 355 are 1, 5, 71, 355
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The HCF of 355,686 is 1.
Lets's calculate GCF of 355,686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 355,686 By Matching Biggest Common Factor Method
Now, list down the factors of 355
:1,5,71,355
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 355,686 . The biggest common factor number is the GCF number.
So the greatest common factor 355,686 is 1.
Lets's calculate LCM of 460,752
| 2 | 460, 752 |
| 2 | 230, 376 |
| 115, 188 |
∴ So the LCM of the given numbers is 2 x 2 x 115 x 188 = 86480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86480
Therefore, the GCF of Fractions 355/460,686/752 is 1/86480
Least Common Multiple of 460,752 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 460,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,752) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(460,752) x common factors =4 x 1 = 4
LCM(460,752) = ( 460 × 752 ) / 4
LCM(460,752) = 345920 / 4
LCM(460,752) = 86480
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FAQs on GCF of Fractions of 355/460, 686/752
1. What is the HCF of 355,686?
The HCF of 355,686 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 355/460, 686/752?
Answer: GCF of Numerators as per given numbers 355/460, 686/752 is
GCF of Numerators i.e. for 355,686 is 1
LCM of denominators i.e. for 460,752 is 86480.
Thus, GCF of Fractions is 1/86480.Finally, GCF of Fractions for 355/460, 686/752 is 1/86480.