How to Find GCF of 78/879, 435/274, 935/329?

GCF of 78/879, 435/274, 935/329

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 78/879, 435/274, 935/329 i.e 1/79238334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/879, 435/274, 935/329.

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 78/879,435/274,935/329?

Given fractions are 78/879,435/274,935/329

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 78/879,435/274,935/329, numerators are 78,435,935

Denominators are 879,274,329

The GCF of 78,435,935 is 1 .

LCM of 879,274,329 is 79238334.

The greatest common factor of 78/879,435/274,935/329 = [GCF of 78,435,935]/[LCM of 879,274,329]= 1/79238334

Therefore, the GCF of 78/879,435/274,935/329 is 1/79238334.

Greatest Common Factor of 78,435,935

To find the highest common factor of 78,435,935, we have to find the factors of both numbers and list the highest common factor.

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435

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

The HCF of 78,435,935 is 1.

Lets's calculate GCF of 78,435,935

Greatest Common Factor (GCF) of 78,435,935 By Common Division

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

Greatest Common Factor of 78,435,935 By Matching Biggest Common Factor Method

Now, list down the factors of 78

1,2,3,6,13,26,39,78

Now, list down the factors of 435

1,3,5,15,29,87,145,435

Now, list down the factors of 935

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

Greatest Common Factor

We found the factors 78,435,935 . The biggest common factor number is the GCF number.
So the greatest common factor 78,435,935 is 1.

Lets's calculate LCM of 879,274,329

Lowest Common Multiple of 879,274,329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 79238334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79238334

Therefore, the GCF of Fractions 78/879,435/274,935/329 is 1/79238334

Least Common Multiple of 879,274,329 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 879,274,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,274,329) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(879,274,329) x common factors =1 x 1 = 1

LCM(879,274,329) = ( 879 × 274 × 329 ) / 1

LCM(879,274,329) = 79238334 / 1

LCM(879,274,329) = 79238334

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 78/879, 435/274, 935/329

1. What is the HCF of 78,435,935?

The HCF of 78,435,935 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 78/879, 435/274, 935/329?

Answer: GCF of Numerators as per given numbers 78/879, 435/274, 935/329 is

GCF of Numerators i.e. for 78,435,935 is 1

LCM of denominators i.e. for 879,274,329 is 79238334.

Thus, GCF of Fractions is 1/79238334.Finally, GCF of Fractions for 78/879, 435/274, 935/329 is 1/79238334.