LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 445/826, 619/378

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 445/826, 619/378 i.e 1/22302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/826, 619/378.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 445/826,619/378?

Given fractions are 445/826,619/378

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 445/826,619/378, numerators are 445,619

Denominators are 826,378

The GCF of 445,619 is 1 .

LCM of 826,378 is 22302.

The greatest common factor of 445/826,619/378 = [GCF of 445,619]/[LCM of 826,378]= 1/22302

Therefore, the GCF of 445/826,619/378 is 1/22302.

Greatest Common Factor of 445,619

To find the highest common factor of 445,619, we have to find the factors of both numbers and list the highest common factor.

The factors of 445 are 1, 5, 89, 445

The factors of 619 are 1, 619

The HCF of 445,619 is 1.

Lets's calculate GCF of 445,619

Greatest Common Factor (GCF) of 445,619 By Common Division

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

Greatest Common Factor of 445,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,619 By Matching Biggest Common Factor Method

Now, list down the factors of 445

:

1,5,89,445

Now, list down the factors of 619

:

1,619

Greatest Common Factor

We found the factors 445,619 . The biggest common factor number is the GCF number.
So the greatest common factor 445,619 is 1.

Lets's calculate LCM of 826,378

Lowest Common Multiple of 826,378 using Common Division

2 826, 378
7 413, 189
59, 27

∴ So the LCM of the given numbers is 2 x 7 x 59 x 27 = 22302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22302

Therefore, the GCF of Fractions 445/826,619/378 is 1/22302

Least Common Multiple of 826,378 with GCF Formula

Least Common Multiple of 826,378 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 826,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,378) = 14

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

GCF(826,378) x common factors =14 x 1 = 14

LCM(826,378) = ( 826 × 378 ) / 14

LCM(826,378) = 312228 / 14

LCM(826,378) = 22302


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 445/826, 619/378

1. What is the HCF of 445,619?

The HCF of 445,619 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 445/826, 619/378?

Answer: GCF of Numerators as per given numbers 445/826, 619/378 is

GCF of Numerators i.e. for 445,619 is 1

LCM of denominators i.e. for 826,378 is 22302.

Thus, GCF of Fractions is 1/22302.Finally, GCF of Fractions for 445/826, 619/378 is 1/22302.