How to Find GCF of 922/795, 853/626, 452/909?

GCF of 922/795, 853/626, 452/909

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 922/795, 853/626, 452/909 i.e 1/150794010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/795, 853/626, 452/909.

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 922/795,853/626,452/909?

Given fractions are 922/795,853/626,452/909

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 922/795,853/626,452/909, numerators are 922,853,452

Denominators are 795,626,909

The GCF of 922,853,452 is 1 .

LCM of 795,626,909 is 150794010.

The greatest common factor of 922/795,853/626,452/909 = [GCF of 922,853,452]/[LCM of 795,626,909]= 1/150794010

Therefore, the GCF of 922/795,853/626,452/909 is 1/150794010.

Greatest Common Factor of 922,853,452

To find the highest common factor of 922,853,452, we have to find the factors of both numbers and list the highest common factor.

The factors of 922 are 1, 2, 461, 922

The factors of 853 are 1, 853

The factors of 452 are 1, 2, 4, 113, 226, 452

The HCF of 922,853,452 is 1.

Lets's calculate GCF of 922,853,452

Greatest Common Factor (GCF) of 922,853,452 By Common Division

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

Greatest Common Factor of 922,853,452 By Matching Biggest Common Factor Method

Now, list down the factors of 922

1,2,461,922

Now, list down the factors of 853

1,853

Now, list down the factors of 452

1,2,4,113,226,452

Greatest Common Factor

We found the factors 922,853,452 . The biggest common factor number is the GCF number.
So the greatest common factor 922,853,452 is 1.

Lets's calculate LCM of 795,626,909

Lowest Common Multiple of 795,626,909 using Common Division

3	795, 626, 909
	265, 626, 303

∴ So the LCM of the given numbers is 3 x 265 x 626 x 303 = 150794010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150794010

Therefore, the GCF of Fractions 922/795,853/626,452/909 is 1/150794010

Least Common Multiple of 795,626,909 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 795,626,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,626,909) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(795,626,909) x common factors =1 x 3 = 3

LCM(795,626,909) = ( 795 × 626 × 909 ) / 3

LCM(795,626,909) = 452382030 / 3

LCM(795,626,909) = 150794010

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 922/795, 853/626, 452/909

1. What is the HCF of 922,853,452?

The HCF of 922,853,452 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 922/795, 853/626, 452/909?

Answer: GCF of Numerators as per given numbers 922/795, 853/626, 452/909 is

GCF of Numerators i.e. for 922,853,452 is 1

LCM of denominators i.e. for 795,626,909 is 150794010.

Thus, GCF of Fractions is 1/150794010.Finally, GCF of Fractions for 922/795, 853/626, 452/909 is 1/150794010.