How to Find GCF of 536/215, 352/179?

GCF of 536/215, 352/179

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 536/215, 352/179 i.e 8/38485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/215, 352/179.

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 536/215,352/179?

Given fractions are 536/215,352/179

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 536/215,352/179, numerators are 536,352

Denominators are 215,179

The GCF of 536,352 is 8 .

LCM of 215,179 is 38485.

The greatest common factor of 536/215,352/179 = [GCF of 536,352]/[LCM of 215,179]= 8/38485

Therefore, the GCF of 536/215,352/179 is 8/38485.

Greatest Common Factor of 536,352

To find the highest common factor of 536,352, we have to find the factors of both numbers and list the highest common factor.

The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The HCF of 536,352 is 8.

Lets's calculate GCF of 536,352

Greatest Common Factor (GCF) of 536,352 By Common Division

2	536, 352
2	268, 176
2	134, 88
	67, 44

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

Greatest Common Factor of 536,352 By Matching Biggest Common Factor Method

Now, list down the factors of 536

1,2,4,8,67,134,268,536

Now, list down the factors of 352

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 536,352 . The biggest common factor number is the GCF number.
So the greatest common factor 536,352 is 8.

Lets's calculate LCM of 215,179

Lowest Common Multiple of 215,179 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/38485

Therefore, the GCF of Fractions 536/215,352/179 is 8/38485

Least Common Multiple of 215,179 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 215,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,179) = 1

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

GCF(215,179) x common factors =1 x 1 = 1

LCM(215,179) = ( 215 × 179 ) / 1

LCM(215,179) = 38485 / 1

LCM(215,179) = 38485

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FAQs on GCF of Fractions of 536/215, 352/179

1. What is the HCF of 536,352?

The HCF of 536,352 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 536/215, 352/179?

Answer: GCF of Numerators as per given numbers 536/215, 352/179 is

GCF of Numerators i.e. for 536,352 is 8

LCM of denominators i.e. for 215,179 is 38485.

Thus, GCF of Fractions is 8/38485.Finally, GCF of Fractions for 536/215, 352/179 is 8/38485.