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GCF of 355/404, 996/818

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 355/404, 996/818 i.e 1/165236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/404, 996/818.

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 355/404,996/818?

Given fractions are 355/404,996/818

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 355/404,996/818, numerators are 355,996

Denominators are 404,818

The GCF of 355,996 is 1 .

LCM of 404,818 is 165236.

The greatest common factor of 355/404,996/818 = [GCF of 355,996]/[LCM of 404,818]= 1/165236

Therefore, the GCF of 355/404,996/818 is 1/165236.

Greatest Common Factor of 355,996

To find the highest common factor of 355,996, we have to find the factors of both numbers and list the highest common factor.

The factors of 355 are 1, 5, 71, 355

The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

The HCF of 355,996 is 1.

Lets's calculate GCF of 355,996

Greatest Common Factor (GCF) of 355,996 By Common Division

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

Greatest Common Factor of 355,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,996 By Matching Biggest Common Factor Method

Now, list down the factors of 355

:

1,5,71,355

Now, list down the factors of 996

:

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 355,996 . The biggest common factor number is the GCF number.
So the greatest common factor 355,996 is 1.

Lets's calculate LCM of 404,818

Lowest Common Multiple of 404,818 using Common Division

2 404, 818
202, 409

∴ So the LCM of the given numbers is 2 x 202 x 409 = 165236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165236

Therefore, the GCF of Fractions 355/404,996/818 is 1/165236

Least Common Multiple of 404,818 with GCF Formula

Least Common Multiple of 404,818 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 404,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,818) = 2

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

GCF(404,818) x common factors =2 x 1 = 2

LCM(404,818) = ( 404 × 818 ) / 2

LCM(404,818) = 330472 / 2

LCM(404,818) = 165236


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FAQs on GCF of Fractions of 355/404, 996/818

1. What is the HCF of 355,996?

The HCF of 355,996 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 355/404, 996/818?

Answer: GCF of Numerators as per given numbers 355/404, 996/818 is

GCF of Numerators i.e. for 355,996 is 1

LCM of denominators i.e. for 404,818 is 165236.

Thus, GCF of Fractions is 1/165236.Finally, GCF of Fractions for 355/404, 996/818 is 1/165236.