How to Find GCF of 532/343, 3126/206?

GCF of 532/343, 3126/206

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 532/343, 3126/206 i.e 2/70658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/343, 3126/206.

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 532/343,3126/206?

Given fractions are 532/343,3126/206

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 532/343,3126/206, numerators are 532,3126

Denominators are 343,206

The GCF of 532,3126 is 2 .

LCM of 343,206 is 70658.

The greatest common factor of 532/343,3126/206 = [GCF of 532,3126]/[LCM of 343,206]= 2/70658

Therefore, the GCF of 532/343,3126/206 is 2/70658.

Greatest Common Factor of 532,3126

To find the highest common factor of 532,3126, we have to find the factors of both numbers and list the highest common factor.

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126

The HCF of 532,3126 is 2.

Lets's calculate GCF of 532,3126

Greatest Common Factor (GCF) of 532,3126 By Common Division

2	532, 3126
	266, 1563

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

Greatest Common Factor of 532,3126 By Matching Biggest Common Factor Method

Now, list down the factors of 532

1,2,4,7,14,19,28,38,76,133,266,532

Now, list down the factors of 3126

1,2,3,6,521,1042,1563,3126

Greatest Common Factor

We found the factors 532,3126 . The biggest common factor number is the GCF number.
So the greatest common factor 532,3126 is 2.

Lets's calculate LCM of 343,206

Lowest Common Multiple of 343,206 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 70658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70658

Therefore, the GCF of Fractions 532/343,3126/206 is 2/70658

Least Common Multiple of 343,206 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 343,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,206) = 1

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

GCF(343,206) x common factors =1 x 1 = 1

LCM(343,206) = ( 343 × 206 ) / 1

LCM(343,206) = 70658 / 1

LCM(343,206) = 70658

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 532/343, 3126/206

1. What is the HCF of 532,3126?

The HCF of 532,3126 is 2

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 532/343, 3126/206?

Answer: GCF of Numerators as per given numbers 532/343, 3126/206 is

GCF of Numerators i.e. for 532,3126 is 2

LCM of denominators i.e. for 343,206 is 70658.

Thus, GCF of Fractions is 2/70658.Finally, GCF of Fractions for 532/343, 3126/206 is 2/70658.