How to Find GCF of 923/12, 657/67, 653/98?

GCF of 923/12, 657/67, 653/98

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 923/12, 657/67, 653/98 i.e 1/39396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/12, 657/67, 653/98.

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 923/12,657/67,653/98?

Given fractions are 923/12,657/67,653/98

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 923/12,657/67,653/98, numerators are 923,657,653

Denominators are 12,67,98

The GCF of 923,657,653 is 1 .

LCM of 12,67,98 is 39396.

The greatest common factor of 923/12,657/67,653/98 = [GCF of 923,657,653]/[LCM of 12,67,98]= 1/39396

Therefore, the GCF of 923/12,657/67,653/98 is 1/39396.

Greatest Common Factor of 923,657,653

To find the highest common factor of 923,657,653, we have to find the factors of both numbers and list the highest common factor.

The factors of 923 are 1, 13, 71, 923

The factors of 657 are 1, 3, 9, 73, 219, 657

The factors of 653 are 1, 653

The HCF of 923,657,653 is 1.

Lets's calculate GCF of 923,657,653

Greatest Common Factor (GCF) of 923,657,653 By Common Division

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

Greatest Common Factor of 923,657,653 By Matching Biggest Common Factor Method

Now, list down the factors of 923

1,13,71,923

Now, list down the factors of 657

1,3,9,73,219,657

Now, list down the factors of 653

1,653

Greatest Common Factor

We found the factors 923,657,653 . The biggest common factor number is the GCF number.
So the greatest common factor 923,657,653 is 1.

Lets's calculate LCM of 12,67,98

Lowest Common Multiple of 12,67,98 using Common Division

2	12, 67, 98
	6, 67, 49

∴ So the LCM of the given numbers is 2 x 6 x 67 x 49 = 39396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39396

Therefore, the GCF of Fractions 923/12,657/67,653/98 is 1/39396

Least Common Multiple of 12,67,98 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 12,67,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,67,98) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,67,98) x common factors =1 x 2 = 2

LCM(12,67,98) = ( 12 × 67 × 98 ) / 2

LCM(12,67,98) = 78792 / 2

LCM(12,67,98) = 39396

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 923/12, 657/67, 653/98

1. What is the HCF of 923,657,653?

The HCF of 923,657,653 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 923/12, 657/67, 653/98?

Answer: GCF of Numerators as per given numbers 923/12, 657/67, 653/98 is

GCF of Numerators i.e. for 923,657,653 is 1

LCM of denominators i.e. for 12,67,98 is 39396.

Thus, GCF of Fractions is 1/39396.Finally, GCF of Fractions for 923/12, 657/67, 653/98 is 1/39396.