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GCF of 574/40, 865/358

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 574/40, 865/358 i.e 1/7160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/40, 865/358.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 574/40,865/358?

Given fractions are 574/40,865/358

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 574/40,865/358, numerators are 574,865

Denominators are 40,358

The GCF of 574,865 is 1 .

LCM of 40,358 is 7160.

The greatest common factor of 574/40,865/358 = [GCF of 574,865]/[LCM of 40,358]= 1/7160

Therefore, the GCF of 574/40,865/358 is 1/7160.

Greatest Common Factor of 574,865

To find the highest common factor of 574,865, we have to find the factors of both numbers and list the highest common factor.

The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574

The factors of 865 are 1, 5, 173, 865

The HCF of 574,865 is 1.

Lets's calculate GCF of 574,865

Greatest Common Factor (GCF) of 574,865 By Common Division

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

Greatest Common Factor of 574,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,865 By Matching Biggest Common Factor Method

Now, list down the factors of 574

:

1,2,7,14,41,82,287,574

Now, list down the factors of 865

:

1,5,173,865

Greatest Common Factor

We found the factors 574,865 . The biggest common factor number is the GCF number.
So the greatest common factor 574,865 is 1.

Lets's calculate LCM of 40,358

Lowest Common Multiple of 40,358 using Common Division

2 40, 358
20, 179

∴ So the LCM of the given numbers is 2 x 20 x 179 = 7160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7160

Therefore, the GCF of Fractions 574/40,865/358 is 1/7160

Least Common Multiple of 40,358 with GCF Formula

Least Common Multiple of 40,358 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 40,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,358) = 2

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

GCF(40,358) x common factors =2 x 1 = 2

LCM(40,358) = ( 40 × 358 ) / 2

LCM(40,358) = 14320 / 2

LCM(40,358) = 7160


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FAQs on GCF of Fractions of 574/40, 865/358

1. What is the HCF of 574,865?

The HCF of 574,865 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 574/40, 865/358?

Answer: GCF of Numerators as per given numbers 574/40, 865/358 is

GCF of Numerators i.e. for 574,865 is 1

LCM of denominators i.e. for 40,358 is 7160.

Thus, GCF of Fractions is 1/7160.Finally, GCF of Fractions for 574/40, 865/358 is 1/7160.