How to Find GCF of 11/692, 9453/8358?

GCF of 11/692, 9453/8358

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 11/692, 9453/8358 i.e 1/2891868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/692, 9453/8358.

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 11/692,9453/8358?

Given fractions are 11/692,9453/8358

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 11/692,9453/8358, numerators are 11,9453

Denominators are 692,8358

The GCF of 11,9453 is 1 .

LCM of 692,8358 is 2891868.

The greatest common factor of 11/692,9453/8358 = [GCF of 11,9453]/[LCM of 692,8358]= 1/2891868

Therefore, the GCF of 11/692,9453/8358 is 1/2891868.

Greatest Common Factor of 11,9453

To find the highest common factor of 11,9453, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 9453 are 1, 3, 23, 69, 137, 411, 3151, 9453

The HCF of 11,9453 is 1.

Lets's calculate GCF of 11,9453

Greatest Common Factor (GCF) of 11,9453 By Common Division

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

Greatest Common Factor of 11,9453 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 9453

1,3,23,69,137,411,3151,9453

Greatest Common Factor

We found the factors 11,9453 . The biggest common factor number is the GCF number.
So the greatest common factor 11,9453 is 1.

Lets's calculate LCM of 692,8358

Lowest Common Multiple of 692,8358 using Common Division

2	692, 8358
	346, 4179

∴ So the LCM of the given numbers is 2 x 346 x 4179 = 2891868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2891868

Therefore, the GCF of Fractions 11/692,9453/8358 is 1/2891868

Least Common Multiple of 692,8358 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 692,8358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,8358) = 2

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

GCF(692,8358) x common factors =2 x 1 = 2

LCM(692,8358) = ( 692 × 8358 ) / 2

LCM(692,8358) = 5783736 / 2

LCM(692,8358) = 2891868

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FAQs on GCF of Fractions of 11/692, 9453/8358

1. What is the HCF of 11,9453?

The HCF of 11,9453 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 11/692, 9453/8358?

Answer: GCF of Numerators as per given numbers 11/692, 9453/8358 is

GCF of Numerators i.e. for 11,9453 is 1

LCM of denominators i.e. for 692,8358 is 2891868.

Thus, GCF of Fractions is 1/2891868.Finally, GCF of Fractions for 11/692, 9453/8358 is 1/2891868.