How to Find GCF of 368/531, 560/494?

GCF of 368/531, 560/494

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 368/531, 560/494 i.e 16/262314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 368/531, 560/494.

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 368/531,560/494?

Given fractions are 368/531,560/494

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 368/531,560/494, numerators are 368,560

Denominators are 531,494

The GCF of 368,560 is 16 .

LCM of 531,494 is 262314.

The greatest common factor of 368/531,560/494 = [GCF of 368,560]/[LCM of 531,494]= 16/262314

Therefore, the GCF of 368/531,560/494 is 16/262314.

Greatest Common Factor of 368,560

To find the highest common factor of 368,560, we have to find the factors of both numbers and list the highest common factor.

The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

The HCF of 368,560 is 16.

Lets's calculate GCF of 368,560

Greatest Common Factor (GCF) of 368,560 By Common Division

2	368, 560
2	184, 280
2	92, 140
2	46, 70
	23, 35

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 368,560 By Matching Biggest Common Factor Method

Now, list down the factors of 368

1,2,4,8,16,23,46,92,184,368

Now, list down the factors of 560

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 368,560 . The biggest common factor number is the GCF number.
So the greatest common factor 368,560 is 16.

Lets's calculate LCM of 531,494

Lowest Common Multiple of 531,494 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 262314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/262314

Therefore, the GCF of Fractions 368/531,560/494 is 16/262314

Least Common Multiple of 531,494 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 531,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,494) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(531,494) x common factors =1 x 1 = 1

LCM(531,494) = ( 531 × 494 ) / 1

LCM(531,494) = 262314 / 1

LCM(531,494) = 262314

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FAQs on GCF of Fractions of 368/531, 560/494

1. What is the HCF of 368,560?

The HCF of 368,560 is 16

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 368/531, 560/494?

Answer: GCF of Numerators as per given numbers 368/531, 560/494 is

GCF of Numerators i.e. for 368,560 is 16

LCM of denominators i.e. for 531,494 is 262314.

Thus, GCF of Fractions is 16/262314.Finally, GCF of Fractions for 368/531, 560/494 is 16/262314.