How to Find GCF of 346/412, 5320/6539?

GCF of 346/412, 5320/6539

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 346/412, 5320/6539 i.e 2/2694068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 346/412, 5320/6539.

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 346/412,5320/6539?

Given fractions are 346/412,5320/6539

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 346/412,5320/6539, numerators are 346,5320

Denominators are 412,6539

The GCF of 346,5320 is 2 .

LCM of 412,6539 is 2694068.

The greatest common factor of 346/412,5320/6539 = [GCF of 346,5320]/[LCM of 412,6539]= 2/2694068

Therefore, the GCF of 346/412,5320/6539 is 2/2694068.

Greatest Common Factor of 346,5320

To find the highest common factor of 346,5320, we have to find the factors of both numbers and list the highest common factor.

The factors of 346 are 1, 2, 173, 346

The factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320

The HCF of 346,5320 is 2.

Lets's calculate GCF of 346,5320

Greatest Common Factor (GCF) of 346,5320 By Common Division

2	346, 5320
	173, 2660

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

Greatest Common Factor of 346,5320 By Matching Biggest Common Factor Method

Now, list down the factors of 346

1,2,173,346

Now, list down the factors of 5320

1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320

Greatest Common Factor

We found the factors 346,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 346,5320 is 2.

Lets's calculate LCM of 412,6539

Lowest Common Multiple of 412,6539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2694068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2694068

Therefore, the GCF of Fractions 346/412,5320/6539 is 2/2694068

Least Common Multiple of 412,6539 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 412,6539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,6539) = 1

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

GCF(412,6539) x common factors =1 x 1 = 1

LCM(412,6539) = ( 412 × 6539 ) / 1

LCM(412,6539) = 2694068 / 1

LCM(412,6539) = 2694068

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FAQs on GCF of Fractions of 346/412, 5320/6539

1. What is the HCF of 346,5320?

The HCF of 346,5320 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 346/412, 5320/6539?

Answer: GCF of Numerators as per given numbers 346/412, 5320/6539 is

GCF of Numerators i.e. for 346,5320 is 2

LCM of denominators i.e. for 412,6539 is 2694068.

Thus, GCF of Fractions is 2/2694068.Finally, GCF of Fractions for 346/412, 5320/6539 is 2/2694068.