How to Find GCF of 1282/923, 6154/853?

GCF of 1282/923, 6154/853

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 1282/923, 6154/853 i.e 2/787319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1282/923, 6154/853.

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 1282/923,6154/853?

Given fractions are 1282/923,6154/853

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 1282/923,6154/853, numerators are 1282,6154

Denominators are 923,853

The GCF of 1282,6154 is 2 .

LCM of 923,853 is 787319.

The greatest common factor of 1282/923,6154/853 = [GCF of 1282,6154]/[LCM of 923,853]= 2/787319

Therefore, the GCF of 1282/923,6154/853 is 2/787319.

Greatest Common Factor of 1282,6154

To find the highest common factor of 1282,6154, we have to find the factors of both numbers and list the highest common factor.

The factors of 1282 are 1, 2, 641, 1282

The factors of 6154 are 1, 2, 17, 34, 181, 362, 3077, 6154

The HCF of 1282,6154 is 2.

Lets's calculate GCF of 1282,6154

Greatest Common Factor (GCF) of 1282,6154 By Common Division

2	1282, 6154
	641, 3077

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1282,6154 By Matching Biggest Common Factor Method

Now, list down the factors of 1282

1,2,641,1282

Now, list down the factors of 6154

1,2,17,34,181,362,3077,6154

Greatest Common Factor

We found the factors 1282,6154 . The biggest common factor number is the GCF number.
So the greatest common factor 1282,6154 is 2.

Lets's calculate LCM of 923,853

Lowest Common Multiple of 923,853 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 787319

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/787319

Therefore, the GCF of Fractions 1282/923,6154/853 is 2/787319

Least Common Multiple of 923,853 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 923,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,853) = 1

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

GCF(923,853) x common factors =1 x 1 = 1

LCM(923,853) = ( 923 × 853 ) / 1

LCM(923,853) = 787319 / 1

LCM(923,853) = 787319

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FAQs on GCF of Fractions of 1282/923, 6154/853

1. What is the HCF of 1282,6154?

The HCF of 1282,6154 is 2

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 1282/923, 6154/853?

Answer: GCF of Numerators as per given numbers 1282/923, 6154/853 is

GCF of Numerators i.e. for 1282,6154 is 2

LCM of denominators i.e. for 923,853 is 787319.

Thus, GCF of Fractions is 2/787319.Finally, GCF of Fractions for 1282/923, 6154/853 is 2/787319.