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GCF of 854/44, 574/500

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 854/44, 574/500 i.e 14/5500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 854/44, 574/500.

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 854/44,574/500?

Given fractions are 854/44,574/500

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 854/44,574/500, numerators are 854,574

Denominators are 44,500

The GCF of 854,574 is 14 .

LCM of 44,500 is 5500.

The greatest common factor of 854/44,574/500 = [GCF of 854,574]/[LCM of 44,500]= 14/5500

Therefore, the GCF of 854/44,574/500 is 14/5500.

Greatest Common Factor of 854,574

To find the highest common factor of 854,574, we have to find the factors of both numbers and list the highest common factor.

The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854

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

The HCF of 854,574 is 14.

Lets's calculate GCF of 854,574

Greatest Common Factor (GCF) of 854,574 By Common Division

2 854, 574
7 427, 287
61, 41

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 854,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,574 By Matching Biggest Common Factor Method

Now, list down the factors of 854

:

1,2,7,14,61,122,427,854

Now, list down the factors of 574

:

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

Greatest Common Factor

We found the factors 854,574 . The biggest common factor number is the GCF number.
So the greatest common factor 854,574 is 14.

Lets's calculate LCM of 44,500

Lowest Common Multiple of 44,500 using Common Division

2 44, 500
2 22, 250
11, 125

∴ So the LCM of the given numbers is 2 x 2 x 11 x 125 = 5500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/5500

Therefore, the GCF of Fractions 854/44,574/500 is 14/5500

Least Common Multiple of 44,500 with GCF Formula

Least Common Multiple of 44,500 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 44,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,500) = 4

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

GCF(44,500) x common factors =4 x 1 = 4

LCM(44,500) = ( 44 × 500 ) / 4

LCM(44,500) = 22000 / 4

LCM(44,500) = 5500


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FAQs on GCF of Fractions of 854/44, 574/500

1. What is the HCF of 854,574?

The HCF of 854,574 is 14

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 854/44, 574/500?

Answer: GCF of Numerators as per given numbers 854/44, 574/500 is

GCF of Numerators i.e. for 854,574 is 14

LCM of denominators i.e. for 44,500 is 5500.

Thus, GCF of Fractions is 14/5500.Finally, GCF of Fractions for 854/44, 574/500 is 14/5500.