Greatest Common Factor of 126/16, 548/64, 214/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 126/16, 548/64, 214/586

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 126/16,548/64,214/586

Given fractions are 126/16,548/64,214/586

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 126,548,214

Greatest Common Factor of Numerators i.e. GCF of 126,548,214 is 2 .

LCM of Denominators means LCM of 16,64,586 as per the given fractions.

LCM of 16,64,586 is 18752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 126,548,214

GCF of Fractions 126/16,548/64,214/586 is 2/18752

2 126, 548, 214
63, 274, 107

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

Greatest Common Factor of 126,548,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,548,214 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 126,548,214 . The biggest common factor number is the GCF number.
So the greatest common factor 126,548,214 is 2.

Lets's calculate LCM of 16,64,586

2 16, 64, 586
2 8, 32, 293
2 4, 16, 293
2 2, 8, 293
1, 4, 293

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 4 x 293 = 18752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18752

Therefore, the GCF of Fractions 126/16,548/64,214/586 is 2/18752

Least Common Multiple of 16,64,586 with GCF Formula

Least Common Multiple of 16,64,586 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 16,64,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,64,586) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(16,64,586) x common factors =2 x 16 = 32

LCM(16,64,586) = ( 16 × 64 × 586 ) / 32

LCM(16,64,586) = 600064 / 32

LCM(16,64,586) = 18752


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 126/16, 548/64, 214/586

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 126/16, 548/64, 214/586?

Answer: GCF of Numerators as per given numbers 126/16, 548/64, 214/586 is

GCF of Numerators i.e. for 126,548,214 is 2

LCM of denominators i.e. for 16,64,586 is 18752.

Thus, GCF of Fractions is 2/18752.Finally, GCF of Fractions for 126/16, 548/64, 214/586 is 2/18752.