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GCF of 849/66, 505/205

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 849/66, 505/205 i.e 1/13530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/66, 505/205.

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 849/66,505/205?

Given fractions are 849/66,505/205

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 849/66,505/205, numerators are 849,505

Denominators are 66,205

The GCF of 849,505 is 1 .

LCM of 66,205 is 13530.

The greatest common factor of 849/66,505/205 = [GCF of 849,505]/[LCM of 66,205]= 1/13530

Therefore, the GCF of 849/66,505/205 is 1/13530.

Greatest Common Factor of 849,505

To find the highest common factor of 849,505, we have to find the factors of both numbers and list the highest common factor.

The factors of 849 are 1, 3, 283, 849

The factors of 505 are 1, 5, 101, 505

The HCF of 849,505 is 1.

Lets's calculate GCF of 849,505

Greatest Common Factor (GCF) of 849,505 By Common Division

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

Greatest Common Factor of 849,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,505 By Matching Biggest Common Factor Method

Now, list down the factors of 849

:

1,3,283,849

Now, list down the factors of 505

:

1,5,101,505

Greatest Common Factor

We found the factors 849,505 . The biggest common factor number is the GCF number.
So the greatest common factor 849,505 is 1.

Lets's calculate LCM of 66,205

Lowest Common Multiple of 66,205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13530

Therefore, the GCF of Fractions 849/66,505/205 is 1/13530

Least Common Multiple of 66,205 with GCF Formula

Least Common Multiple of 66,205 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 66,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,205) = 1

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

GCF(66,205) x common factors =1 x 1 = 1

LCM(66,205) = ( 66 × 205 ) / 1

LCM(66,205) = 13530 / 1

LCM(66,205) = 13530


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FAQs on GCF of Fractions of 849/66, 505/205

1. What is the HCF of 849,505?

The HCF of 849,505 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 849/66, 505/205?

Answer: GCF of Numerators as per given numbers 849/66, 505/205 is

GCF of Numerators i.e. for 849,505 is 1

LCM of denominators i.e. for 66,205 is 13530.

Thus, GCF of Fractions is 1/13530.Finally, GCF of Fractions for 849/66, 505/205 is 1/13530.