How to Find GCF of 941/569, 2823/495?

GCF of 941/569, 2823/495

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 941/569, 2823/495 i.e 941/281655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/569, 2823/495.

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 941/569,2823/495?

Given fractions are 941/569,2823/495

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 941/569,2823/495, numerators are 941,2823

Denominators are 569,495

The GCF of 941,2823 is 941 .

LCM of 569,495 is 281655.

The greatest common factor of 941/569,2823/495 = [GCF of 941,2823]/[LCM of 569,495]= 941/281655

Therefore, the GCF of 941/569,2823/495 is 941/281655.

Greatest Common Factor of 941,2823

To find the highest common factor of 941,2823, we have to find the factors of both numbers and list the highest common factor.

The factors of 941 are 1, 941

The factors of 2823 are 1, 3, 941, 2823

The HCF of 941,2823 is 941.

Lets's calculate GCF of 941,2823

Greatest Common Factor (GCF) of 941,2823 By Common Division

941	941, 2823
	1, 3

∴ So the GCF of the given numbers is 941 = 941

Greatest Common Factor of 941,2823 By Matching Biggest Common Factor Method

Now, list down the factors of 941

1,941

Now, list down the factors of 2823

1,3,941,2823

Greatest Common Factor

We found the factors 941,2823 . The biggest common factor number is the GCF number.
So the greatest common factor 941,2823 is 941.

Lets's calculate LCM of 569,495

Lowest Common Multiple of 569,495 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 281655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 941/281655

Therefore, the GCF of Fractions 941/569,2823/495 is 941/281655

Least Common Multiple of 569,495 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 569,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,495) = 1

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

GCF(569,495) x common factors =1 x 1 = 1

LCM(569,495) = ( 569 × 495 ) / 1

LCM(569,495) = 281655 / 1

LCM(569,495) = 281655

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FAQs on GCF of Fractions of 941/569, 2823/495

1. What is the HCF of 941,2823?

The HCF of 941,2823 is 941

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 941/569, 2823/495?

Answer: GCF of Numerators as per given numbers 941/569, 2823/495 is

GCF of Numerators i.e. for 941,2823 is 941

LCM of denominators i.e. for 569,495 is 281655.

Thus, GCF of Fractions is 941/281655.Finally, GCF of Fractions for 941/569, 2823/495 is 941/281655.