How to Find GCF of 424/535, 336/213?

GCF of 424/535, 336/213

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 424/535, 336/213 i.e 8/113955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/535, 336/213.

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 424/535,336/213?

Given fractions are 424/535,336/213

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 424/535,336/213, numerators are 424,336

Denominators are 535,213

The GCF of 424,336 is 8 .

LCM of 535,213 is 113955.

The greatest common factor of 424/535,336/213 = [GCF of 424,336]/[LCM of 535,213]= 8/113955

Therefore, the GCF of 424/535,336/213 is 8/113955.

Greatest Common Factor of 424,336

To find the highest common factor of 424,336, we have to find the factors of both numbers and list the highest common factor.

The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424

The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

The HCF of 424,336 is 8.

Lets's calculate GCF of 424,336

Greatest Common Factor (GCF) of 424,336 By Common Division

2	424, 336
2	212, 168
2	106, 84
	53, 42

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 424,336 By Matching Biggest Common Factor Method

Now, list down the factors of 424

1,2,4,8,53,106,212,424

Now, list down the factors of 336

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 424,336 . The biggest common factor number is the GCF number.
So the greatest common factor 424,336 is 8.

Lets's calculate LCM of 535,213

Lowest Common Multiple of 535,213 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 113955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/113955

Therefore, the GCF of Fractions 424/535,336/213 is 8/113955

Least Common Multiple of 535,213 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 535,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,213) = 1

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

GCF(535,213) x common factors =1 x 1 = 1

LCM(535,213) = ( 535 × 213 ) / 1

LCM(535,213) = 113955 / 1

LCM(535,213) = 113955

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FAQs on GCF of Fractions of 424/535, 336/213

1. What is the HCF of 424,336?

The HCF of 424,336 is 8

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 424/535, 336/213?

Answer: GCF of Numerators as per given numbers 424/535, 336/213 is

GCF of Numerators i.e. for 424,336 is 8

LCM of denominators i.e. for 535,213 is 113955.

Thus, GCF of Fractions is 8/113955.Finally, GCF of Fractions for 424/535, 336/213 is 8/113955.