How to Find GCF of 435/926, 641/790, 671/780?

GCF of 435/926, 641/790, 671/780

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 435/926, 641/790, 671/780 i.e 1/28530060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/926, 641/790, 671/780.

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 435/926,641/790,671/780?

Given fractions are 435/926,641/790,671/780

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 435/926,641/790,671/780, numerators are 435,641,671

Denominators are 926,790,780

The GCF of 435,641,671 is 1 .

LCM of 926,790,780 is 28530060.

The greatest common factor of 435/926,641/790,671/780 = [GCF of 435,641,671]/[LCM of 926,790,780]= 1/28530060

Therefore, the GCF of 435/926,641/790,671/780 is 1/28530060.

Greatest Common Factor of 435,641,671

To find the highest common factor of 435,641,671, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 641 are 1, 641

The factors of 671 are 1, 11, 61, 671

The HCF of 435,641,671 is 1.

Lets's calculate GCF of 435,641,671

Greatest Common Factor (GCF) of 435,641,671 By Common Division

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

Greatest Common Factor of 435,641,671 By Matching Biggest Common Factor Method

Now, list down the factors of 435

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

Now, list down the factors of 641

1,641

Now, list down the factors of 671

1,11,61,671

Greatest Common Factor

We found the factors 435,641,671 . The biggest common factor number is the GCF number.
So the greatest common factor 435,641,671 is 1.

Lets's calculate LCM of 926,790,780

Lowest Common Multiple of 926,790,780 using Common Division

2	926, 790, 780
5	463, 395, 390
	463, 79, 78

∴ So the LCM of the given numbers is 2 x 5 x 463 x 79 x 78 = 28530060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28530060

Therefore, the GCF of Fractions 435/926,641/790,671/780 is 1/28530060

Least Common Multiple of 926,790,780 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 926,790,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,790,780) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(926,790,780) x common factors =2 x 10 = 20

LCM(926,790,780) = ( 926 × 790 × 780 ) / 20

LCM(926,790,780) = 570601200 / 20

LCM(926,790,780) = 28530060

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 435/926, 641/790, 671/780

1. What is the HCF of 435,641,671?

The HCF of 435,641,671 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 435/926, 641/790, 671/780?

Answer: GCF of Numerators as per given numbers 435/926, 641/790, 671/780 is

GCF of Numerators i.e. for 435,641,671 is 1

LCM of denominators i.e. for 926,790,780 is 28530060.

Thus, GCF of Fractions is 1/28530060.Finally, GCF of Fractions for 435/926, 641/790, 671/780 is 1/28530060.