How to Find GCF of 5854/293, 1582/766?

GCF of 5854/293, 1582/766

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 5854/293, 1582/766 i.e 2/224438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5854/293, 1582/766.

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 5854/293,1582/766?

Given fractions are 5854/293,1582/766

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 5854/293,1582/766, numerators are 5854,1582

Denominators are 293,766

The GCF of 5854,1582 is 2 .

LCM of 293,766 is 224438.

The greatest common factor of 5854/293,1582/766 = [GCF of 5854,1582]/[LCM of 293,766]= 2/224438

Therefore, the GCF of 5854/293,1582/766 is 2/224438.

Greatest Common Factor of 5854,1582

To find the highest common factor of 5854,1582, we have to find the factors of both numbers and list the highest common factor.

The factors of 5854 are 1, 2, 2927, 5854

The factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582

The HCF of 5854,1582 is 2.

Lets's calculate GCF of 5854,1582

Greatest Common Factor (GCF) of 5854,1582 By Common Division

2	5854, 1582
	2927, 791

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

Greatest Common Factor of 5854,1582 By Matching Biggest Common Factor Method

Now, list down the factors of 5854

1,2,2927,5854

Now, list down the factors of 1582

1,2,7,14,113,226,791,1582

Greatest Common Factor

We found the factors 5854,1582 . The biggest common factor number is the GCF number.
So the greatest common factor 5854,1582 is 2.

Lets's calculate LCM of 293,766

Lowest Common Multiple of 293,766 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 224438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224438

Therefore, the GCF of Fractions 5854/293,1582/766 is 2/224438

Least Common Multiple of 293,766 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 293,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,766) = 1

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

GCF(293,766) x common factors =1 x 1 = 1

LCM(293,766) = ( 293 × 766 ) / 1

LCM(293,766) = 224438 / 1

LCM(293,766) = 224438

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FAQs on GCF of Fractions of 5854/293, 1582/766

1. What is the HCF of 5854,1582?

The HCF of 5854,1582 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 5854/293, 1582/766?

Answer: GCF of Numerators as per given numbers 5854/293, 1582/766 is

GCF of Numerators i.e. for 5854,1582 is 2

LCM of denominators i.e. for 293,766 is 224438.

Thus, GCF of Fractions is 2/224438.Finally, GCF of Fractions for 5854/293, 1582/766 is 2/224438.