Greatest Common Factor of 68/14, 526/11, 363/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/14, 526/11, 363/882

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 68/14,526/11,363/882

Given fractions are 68/14,526/11,363/882

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 68,526,363

Greatest Common Factor of Numerators i.e. GCF of 68,526,363 is 1 .

LCM of Denominators means LCM of 14,11,882 as per the given fractions.

LCM of 14,11,882 is 9702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,526,363

GCF of Fractions 68/14,526/11,363/882 is 1/9702

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

Greatest Common Factor of 68,526,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,526,363 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 526

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

1,2,263,526

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 68,526,363 . The biggest common factor number is the GCF number.
So the greatest common factor 68,526,363 is 1.

Lets's calculate LCM of 14,11,882

2 14, 11, 882
7 7, 11, 441
1, 11, 63

∴ So the LCM of the given numbers is 2 x 7 x 1 x 11 x 63 = 9702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9702

Therefore, the GCF of Fractions 68/14,526/11,363/882 is 1/9702

Least Common Multiple of 14,11,882 with GCF Formula

Least Common Multiple of 14,11,882 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 14,11,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,11,882) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,11,882) x common factors =1 x 14 = 14

LCM(14,11,882) = ( 14 × 11 × 882 ) / 14

LCM(14,11,882) = 135828 / 14

LCM(14,11,882) = 9702


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 68/14, 526/11, 363/882

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 68/14, 526/11, 363/882?

Answer: GCF of Numerators as per given numbers 68/14, 526/11, 363/882 is

GCF of Numerators i.e. for 68,526,363 is 1

LCM of denominators i.e. for 14,11,882 is 9702.

Thus, GCF of Fractions is 1/9702.Finally, GCF of Fractions for 68/14, 526/11, 363/882 is 1/9702.