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GCF of 9956/450, 3205/1283

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 9956/450, 3205/1283 i.e 1/577350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9956/450, 3205/1283.

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 9956/450,3205/1283?

Given fractions are 9956/450,3205/1283

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 9956/450,3205/1283, numerators are 9956,3205

Denominators are 450,1283

The GCF of 9956,3205 is 1 .

LCM of 450,1283 is 577350.

The greatest common factor of 9956/450,3205/1283 = [GCF of 9956,3205]/[LCM of 450,1283]= 1/577350

Therefore, the GCF of 9956/450,3205/1283 is 1/577350.

Greatest Common Factor of 9956,3205

To find the highest common factor of 9956,3205, we have to find the factors of both numbers and list the highest common factor.

The factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956

The factors of 3205 are 1, 5, 641, 3205

The HCF of 9956,3205 is 1.

Lets's calculate GCF of 9956,3205

Greatest Common Factor (GCF) of 9956,3205 By Common Division

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

Greatest Common Factor of 9956,3205 By Matching Biggest Common Factor Method

Greatest Common Factor of 9956,3205 By Matching Biggest Common Factor Method

Now, list down the factors of 9956

:

1,2,4,19,38,76,131,262,524,2489,4978,9956

Now, list down the factors of 3205

:

1,5,641,3205

Greatest Common Factor

We found the factors 9956,3205 . The biggest common factor number is the GCF number.
So the greatest common factor 9956,3205 is 1.


Lets's calculate LCM of 450,1283

Lowest Common Multiple of 450,1283 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 577350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577350

Therefore, the GCF of Fractions 9956/450,3205/1283 is 1/577350

Least Common Multiple of 450,1283 with GCF Formula

Least Common Multiple of 450,1283 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 450,1283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,1283) = 1

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

GCF(450,1283) x common factors =1 x 1 = 1

LCM(450,1283) = ( 450 × 1283 ) / 1

LCM(450,1283) = 577350 / 1

LCM(450,1283) = 577350


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9956/450, 3205/1283

1. What is the HCF of 9956,3205?

The HCF of 9956,3205 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 9956/450, 3205/1283?

Answer: GCF of Numerators as per given numbers 9956/450, 3205/1283 is

GCF of Numerators i.e. for 9956,3205 is 1

LCM of denominators i.e. for 450,1283 is 577350.

Thus, GCF of Fractions is 1/577350.Finally, GCF of Fractions for 9956/450, 3205/1283 is 1/577350.