How to Find GCF of 238/689, 9309/661?

GCF of 238/689, 9309/661

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 238/689, 9309/661 i.e 1/455429 easily. The following is the detailed procedure to determine the greatest common factor of fractions 238/689, 9309/661.

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 238/689,9309/661?

Given fractions are 238/689,9309/661

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 238/689,9309/661, numerators are 238,9309

Denominators are 689,661

The GCF of 238,9309 is 1 .

LCM of 689,661 is 455429.

The greatest common factor of 238/689,9309/661 = [GCF of 238,9309]/[LCM of 689,661]= 1/455429

Therefore, the GCF of 238/689,9309/661 is 1/455429.

Greatest Common Factor of 238,9309

To find the highest common factor of 238,9309, we have to find the factors of both numbers and list the highest common factor.

The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238

The factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309

The HCF of 238,9309 is 1.

Lets's calculate GCF of 238,9309

Greatest Common Factor (GCF) of 238,9309 By Common Division

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

Greatest Common Factor of 238,9309 By Matching Biggest Common Factor Method

Now, list down the factors of 238

1,2,7,14,17,34,119,238

Now, list down the factors of 9309

1,3,29,87,107,321,3103,9309

Greatest Common Factor

We found the factors 238,9309 . The biggest common factor number is the GCF number.
So the greatest common factor 238,9309 is 1.

Lets's calculate LCM of 689,661

Lowest Common Multiple of 689,661 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 455429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455429

Therefore, the GCF of Fractions 238/689,9309/661 is 1/455429

Least Common Multiple of 689,661 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 689,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,661) = 1

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

GCF(689,661) x common factors =1 x 1 = 1

LCM(689,661) = ( 689 × 661 ) / 1

LCM(689,661) = 455429 / 1

LCM(689,661) = 455429

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FAQs on GCF of Fractions of 238/689, 9309/661

1. What is the HCF of 238,9309?

The HCF of 238,9309 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 238/689, 9309/661?

Answer: GCF of Numerators as per given numbers 238/689, 9309/661 is

GCF of Numerators i.e. for 238,9309 is 1

LCM of denominators i.e. for 689,661 is 455429.

Thus, GCF of Fractions is 1/455429.Finally, GCF of Fractions for 238/689, 9309/661 is 1/455429.