Greatest Common Factor of 56/33, 526/68, 950/55

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 56/33, 526/68, 950/55

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 56/33,526/68,950/55

Given fractions are 56/33,526/68,950/55

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 56,526,950

Greatest Common Factor of Numerators i.e. GCF of 56,526,950 is 2 .

LCM of Denominators means LCM of 33,68,55 as per the given fractions.

LCM of 33,68,55 is 11220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,526,950

GCF of Fractions 56/33,526/68,950/55 is 2/11220

2 56, 526, 950
28, 263, 475

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

Greatest Common Factor of 56,526,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,526,950 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 526

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

1,2,263,526

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 56,526,950 . The biggest common factor number is the GCF number.
So the greatest common factor 56,526,950 is 2.


Lets's calculate LCM of 33,68,55

11 33, 68, 55
3, 68, 5

∴ So the LCM of the given numbers is 11 x 3 x 68 x 5 = 11220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11220

Therefore, the GCF of Fractions 56/33,526/68,950/55 is 2/11220

Least Common Multiple of 33,68,55 with GCF Formula

Least Common Multiple of 33,68,55 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 33,68,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,68,55) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(33,68,55) x common factors =1 x 11 = 11

LCM(33,68,55) = ( 33 × 68 × 55 ) / 11

LCM(33,68,55) = 123420 / 11

LCM(33,68,55) = 11220


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 56/33, 526/68, 950/55

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 56/33, 526/68, 950/55?

Answer: GCF of Numerators as per given numbers 56/33, 526/68, 950/55 is

GCF of Numerators i.e. for 56,526,950 is 2

LCM of denominators i.e. for 33,68,55 is 11220.

Thus, GCF of Fractions is 2/11220.Finally, GCF of Fractions for 56/33, 526/68, 950/55 is 2/11220.