How to Find GCF of 9994/223, 6639/402?

GCF of 9994/223, 6639/402

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 9994/223, 6639/402 i.e 1/89646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9994/223, 6639/402.

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 9994/223,6639/402?

Given fractions are 9994/223,6639/402

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 9994/223,6639/402, numerators are 9994,6639

Denominators are 223,402

The GCF of 9994,6639 is 1 .

LCM of 223,402 is 89646.

The greatest common factor of 9994/223,6639/402 = [GCF of 9994,6639]/[LCM of 223,402]= 1/89646

Therefore, the GCF of 9994/223,6639/402 is 1/89646.

Greatest Common Factor of 9994,6639

To find the highest common factor of 9994,6639, we have to find the factors of both numbers and list the highest common factor.

The factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994

The factors of 6639 are 1, 3, 2213, 6639

The HCF of 9994,6639 is 1.

Lets's calculate GCF of 9994,6639

Greatest Common Factor (GCF) of 9994,6639 By Common Division

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

Greatest Common Factor of 9994,6639 By Matching Biggest Common Factor Method

Now, list down the factors of 9994

1,2,19,38,263,526,4997,9994

Now, list down the factors of 6639

1,3,2213,6639

Greatest Common Factor

We found the factors 9994,6639 . The biggest common factor number is the GCF number.
So the greatest common factor 9994,6639 is 1.

Lets's calculate LCM of 223,402

Lowest Common Multiple of 223,402 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 89646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89646

Therefore, the GCF of Fractions 9994/223,6639/402 is 1/89646

Least Common Multiple of 223,402 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 223,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,402) = 1

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

GCF(223,402) x common factors =1 x 1 = 1

LCM(223,402) = ( 223 × 402 ) / 1

LCM(223,402) = 89646 / 1

LCM(223,402) = 89646

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FAQs on GCF of Fractions of 9994/223, 6639/402

1. What is the HCF of 9994,6639?

The HCF of 9994,6639 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 9994/223, 6639/402?

Answer: GCF of Numerators as per given numbers 9994/223, 6639/402 is

GCF of Numerators i.e. for 9994,6639 is 1

LCM of denominators i.e. for 223,402 is 89646.

Thus, GCF of Fractions is 1/89646.Finally, GCF of Fractions for 9994/223, 6639/402 is 1/89646.