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GCF of 605/28, 874/358

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 605/28, 874/358 i.e 1/5012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 605/28, 874/358.

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 605/28,874/358?

Given fractions are 605/28,874/358

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 605/28,874/358, numerators are 605,874

Denominators are 28,358

The GCF of 605,874 is 1 .

LCM of 28,358 is 5012.

The greatest common factor of 605/28,874/358 = [GCF of 605,874]/[LCM of 28,358]= 1/5012

Therefore, the GCF of 605/28,874/358 is 1/5012.

Greatest Common Factor of 605,874

To find the highest common factor of 605,874, we have to find the factors of both numbers and list the highest common factor.

The factors of 605 are 1, 5, 11, 55, 121, 605

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The HCF of 605,874 is 1.

Lets's calculate GCF of 605,874

Greatest Common Factor (GCF) of 605,874 By Common Division

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

Greatest Common Factor of 605,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,874 By Matching Biggest Common Factor Method

Now, list down the factors of 605

:

1,5,11,55,121,605

Now, list down the factors of 874

:

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 605,874 . The biggest common factor number is the GCF number.
So the greatest common factor 605,874 is 1.

Lets's calculate LCM of 28,358

Lowest Common Multiple of 28,358 using Common Division

2 28, 358
14, 179

∴ So the LCM of the given numbers is 2 x 14 x 179 = 5012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5012

Therefore, the GCF of Fractions 605/28,874/358 is 1/5012

Least Common Multiple of 28,358 with GCF Formula

Least Common Multiple of 28,358 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 28,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,358) = 2

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

GCF(28,358) x common factors =2 x 1 = 2

LCM(28,358) = ( 28 × 358 ) / 2

LCM(28,358) = 10024 / 2

LCM(28,358) = 5012


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FAQs on GCF of Fractions of 605/28, 874/358

1. What is the HCF of 605,874?

The HCF of 605,874 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 605/28, 874/358?

Answer: GCF of Numerators as per given numbers 605/28, 874/358 is

GCF of Numerators i.e. for 605,874 is 1

LCM of denominators i.e. for 28,358 is 5012.

Thus, GCF of Fractions is 1/5012.Finally, GCF of Fractions for 605/28, 874/358 is 1/5012.