Greatest Common Factor of 526/14, 543/88, 219/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 526/14, 543/88, 219/248

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 526/14,543/88,219/248

Given fractions are 526/14,543/88,219/248

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 526,543,219

Greatest Common Factor of Numerators i.e. GCF of 526,543,219 is 1 .

LCM of Denominators means LCM of 14,88,248 as per the given fractions.

LCM of 14,88,248 is 19096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 526,543,219

GCF of Fractions 526/14,543/88,219/248 is 1/19096

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 526,543,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,543,219 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 526,543,219 . The biggest common factor number is the GCF number.
So the greatest common factor 526,543,219 is 1.

Lets's calculate LCM of 14,88,248

2 14, 88, 248
2 7, 44, 124
2 7, 22, 62
7, 11, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 11 x 31 = 19096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19096

Therefore, the GCF of Fractions 526/14,543/88,219/248 is 1/19096

Least Common Multiple of 14,88,248 with GCF Formula

Least Common Multiple of 14,88,248 with GCF Formula

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

We need to calculate greatest common factor of 14,88,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,88,248) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(14,88,248) x common factors =2 x 8 = 16

LCM(14,88,248) = ( 14 × 88 × 248 ) / 16

LCM(14,88,248) = 305536 / 16

LCM(14,88,248) = 19096


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 526/14, 543/88, 219/248

1. 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.

2. What is the GCF of Fractions for 526/14, 543/88, 219/248?

Answer: GCF of Numerators as per given numbers 526/14, 543/88, 219/248 is

GCF of Numerators i.e. for 526,543,219 is 1

LCM of denominators i.e. for 14,88,248 is 19096.

Thus, GCF of Fractions is 1/19096.Finally, GCF of Fractions for 526/14, 543/88, 219/248 is 1/19096.