How to Find GCF of 66/778, 29/225, 935/932?

GCF of 66/778, 29/225, 935/932

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 66/778, 29/225, 935/932 i.e 1/81573300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/778, 29/225, 935/932.

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 66/778,29/225,935/932?

Given fractions are 66/778,29/225,935/932

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 66/778,29/225,935/932, numerators are 66,29,935

Denominators are 778,225,932

The GCF of 66,29,935 is 1 .

LCM of 778,225,932 is 81573300.

The greatest common factor of 66/778,29/225,935/932 = [GCF of 66,29,935]/[LCM of 778,225,932]= 1/81573300

Therefore, the GCF of 66/778,29/225,935/932 is 1/81573300.

Greatest Common Factor of 66,29,935

To find the highest common factor of 66,29,935, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 29 are 1, 29

The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935

The HCF of 66,29,935 is 1.

Lets's calculate GCF of 66,29,935

Greatest Common Factor (GCF) of 66,29,935 By Common Division

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

Greatest Common Factor of 66,29,935 By Matching Biggest Common Factor Method

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 29

1,29

Now, list down the factors of 935

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 66,29,935 . The biggest common factor number is the GCF number.
So the greatest common factor 66,29,935 is 1.

Lets's calculate LCM of 778,225,932

Lowest Common Multiple of 778,225,932 using Common Division

2	778, 225, 932
	389, 225, 466

∴ So the LCM of the given numbers is 2 x 389 x 225 x 466 = 81573300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81573300

Therefore, the GCF of Fractions 66/778,29/225,935/932 is 1/81573300

Least Common Multiple of 778,225,932 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 778,225,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,225,932) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(778,225,932) x common factors =1 x 2 = 2

LCM(778,225,932) = ( 778 × 225 × 932 ) / 2

LCM(778,225,932) = 163146600 / 2

LCM(778,225,932) = 81573300

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 66/778, 29/225, 935/932

1. What is the HCF of 66,29,935?

The HCF of 66,29,935 is 1

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 66/778, 29/225, 935/932?

Answer: GCF of Numerators as per given numbers 66/778, 29/225, 935/932 is

GCF of Numerators i.e. for 66,29,935 is 1

LCM of denominators i.e. for 778,225,932 is 81573300.

Thus, GCF of Fractions is 1/81573300.Finally, GCF of Fractions for 66/778, 29/225, 935/932 is 1/81573300.