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GCF of 743/55, 870/205

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 743/55, 870/205 i.e 1/2255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/55, 870/205.

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 743/55,870/205?

Given fractions are 743/55,870/205

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 743/55,870/205, numerators are 743,870

Denominators are 55,205

The GCF of 743,870 is 1 .

LCM of 55,205 is 2255.

The greatest common factor of 743/55,870/205 = [GCF of 743,870]/[LCM of 55,205]= 1/2255

Therefore, the GCF of 743/55,870/205 is 1/2255.

Greatest Common Factor of 743,870

To find the highest common factor of 743,870, we have to find the factors of both numbers and list the highest common factor.

The factors of 743 are 1, 743

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The HCF of 743,870 is 1.

Lets's calculate GCF of 743,870

Greatest Common Factor (GCF) of 743,870 By Common Division

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

Greatest Common Factor of 743,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,870 By Matching Biggest Common Factor Method

Now, list down the factors of 743

:

1,743

Now, list down the factors of 870

:

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 743,870 . The biggest common factor number is the GCF number.
So the greatest common factor 743,870 is 1.

Lets's calculate LCM of 55,205

Lowest Common Multiple of 55,205 using Common Division

5 55, 205
11, 41

∴ So the LCM of the given numbers is 5 x 11 x 41 = 2255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2255

Therefore, the GCF of Fractions 743/55,870/205 is 1/2255

Least Common Multiple of 55,205 with GCF Formula

Least Common Multiple of 55,205 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 55,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,205) = 5

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

GCF(55,205) x common factors =5 x 1 = 5

LCM(55,205) = ( 55 × 205 ) / 5

LCM(55,205) = 11275 / 5

LCM(55,205) = 2255


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FAQs on GCF of Fractions of 743/55, 870/205

1. What is the HCF of 743,870?

The HCF of 743,870 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 743/55, 870/205?

Answer: GCF of Numerators as per given numbers 743/55, 870/205 is

GCF of Numerators i.e. for 743,870 is 1

LCM of denominators i.e. for 55,205 is 2255.

Thus, GCF of Fractions is 1/2255.Finally, GCF of Fractions for 743/55, 870/205 is 1/2255.