How to Find GCF of 853/221, 1898/3705?

GCF of 853/221, 1898/3705

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 853/221, 1898/3705 i.e 1/62985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 853/221, 1898/3705.

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 853/221,1898/3705?

Given fractions are 853/221,1898/3705

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 853/221,1898/3705, numerators are 853,1898

Denominators are 221,3705

The GCF of 853,1898 is 1 .

LCM of 221,3705 is 62985.

The greatest common factor of 853/221,1898/3705 = [GCF of 853,1898]/[LCM of 221,3705]= 1/62985

Therefore, the GCF of 853/221,1898/3705 is 1/62985.

Greatest Common Factor of 853,1898

To find the highest common factor of 853,1898, we have to find the factors of both numbers and list the highest common factor.

The factors of 853 are 1, 853

The factors of 1898 are 1, 2, 13, 26, 73, 146, 949, 1898

The HCF of 853,1898 is 1.

Lets's calculate GCF of 853,1898

Greatest Common Factor (GCF) of 853,1898 By Common Division

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

Greatest Common Factor of 853,1898 By Matching Biggest Common Factor Method

Now, list down the factors of 853

1,853

Now, list down the factors of 1898

1,2,13,26,73,146,949,1898

Greatest Common Factor

We found the factors 853,1898 . The biggest common factor number is the GCF number.
So the greatest common factor 853,1898 is 1.

Lets's calculate LCM of 221,3705

Lowest Common Multiple of 221,3705 using Common Division

13	221, 3705
	17, 285

∴ So the LCM of the given numbers is 13 x 17 x 285 = 62985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62985

Therefore, the GCF of Fractions 853/221,1898/3705 is 1/62985

Least Common Multiple of 221,3705 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 221,3705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,3705) = 13

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

GCF(221,3705) x common factors =13 x 1 = 13

LCM(221,3705) = ( 221 × 3705 ) / 13

LCM(221,3705) = 818805 / 13

LCM(221,3705) = 62985

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FAQs on GCF of Fractions of 853/221, 1898/3705

1. What is the HCF of 853,1898?

The HCF of 853,1898 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 853/221, 1898/3705?

Answer: GCF of Numerators as per given numbers 853/221, 1898/3705 is

GCF of Numerators i.e. for 853,1898 is 1

LCM of denominators i.e. for 221,3705 is 62985.

Thus, GCF of Fractions is 1/62985.Finally, GCF of Fractions for 853/221, 1898/3705 is 1/62985.