How to Find GCF of 9969/137, 2062/2253?

GCF of 9969/137, 2062/2253

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 9969/137, 2062/2253 i.e 1/308661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9969/137, 2062/2253.

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 9969/137,2062/2253?

Given fractions are 9969/137,2062/2253

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 9969/137,2062/2253, numerators are 9969,2062

Denominators are 137,2253

The GCF of 9969,2062 is 1 .

LCM of 137,2253 is 308661.

The greatest common factor of 9969/137,2062/2253 = [GCF of 9969,2062]/[LCM of 137,2253]= 1/308661

Therefore, the GCF of 9969/137,2062/2253 is 1/308661.

Greatest Common Factor of 9969,2062

To find the highest common factor of 9969,2062, we have to find the factors of both numbers and list the highest common factor.

The factors of 9969 are 1, 3, 3323, 9969

The factors of 2062 are 1, 2, 1031, 2062

The HCF of 9969,2062 is 1.

Lets's calculate GCF of 9969,2062

Greatest Common Factor (GCF) of 9969,2062 By Common Division

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

Greatest Common Factor of 9969,2062 By Matching Biggest Common Factor Method

Now, list down the factors of 9969

1,3,3323,9969

Now, list down the factors of 2062

1,2,1031,2062

Greatest Common Factor

We found the factors 9969,2062 . The biggest common factor number is the GCF number.
So the greatest common factor 9969,2062 is 1.

Lets's calculate LCM of 137,2253

Lowest Common Multiple of 137,2253 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 308661

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308661

Therefore, the GCF of Fractions 9969/137,2062/2253 is 1/308661

Least Common Multiple of 137,2253 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 137,2253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,2253) = 1

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

GCF(137,2253) x common factors =1 x 1 = 1

LCM(137,2253) = ( 137 × 2253 ) / 1

LCM(137,2253) = 308661 / 1

LCM(137,2253) = 308661

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FAQs on GCF of Fractions of 9969/137, 2062/2253

1. What is the HCF of 9969,2062?

The HCF of 9969,2062 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 9969/137, 2062/2253?

Answer: GCF of Numerators as per given numbers 9969/137, 2062/2253 is

GCF of Numerators i.e. for 9969,2062 is 1

LCM of denominators i.e. for 137,2253 is 308661.

Thus, GCF of Fractions is 1/308661.Finally, GCF of Fractions for 9969/137, 2062/2253 is 1/308661.