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GCF of 899/95, 208/1455

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 899/95, 208/1455 i.e 1/27645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/95, 208/1455.

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 899/95,208/1455?

Given fractions are 899/95,208/1455

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 899/95,208/1455, numerators are 899,208

Denominators are 95,1455

The GCF of 899,208 is 1 .

LCM of 95,1455 is 27645.

The greatest common factor of 899/95,208/1455 = [GCF of 899,208]/[LCM of 95,1455]= 1/27645

Therefore, the GCF of 899/95,208/1455 is 1/27645.

Greatest Common Factor of 899,208

To find the highest common factor of 899,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 899 are 1, 29, 31, 899

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 899,208 is 1.

Lets's calculate GCF of 899,208

Greatest Common Factor (GCF) of 899,208 By Common Division

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

Greatest Common Factor of 899,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,208 By Matching Biggest Common Factor Method

Now, list down the factors of 899

:

1,29,31,899

Now, list down the factors of 208

:

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 899,208 . The biggest common factor number is the GCF number.
So the greatest common factor 899,208 is 1.

Lets's calculate LCM of 95,1455

Lowest Common Multiple of 95,1455 using Common Division

5 95, 1455
19, 291

∴ So the LCM of the given numbers is 5 x 19 x 291 = 27645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27645

Therefore, the GCF of Fractions 899/95,208/1455 is 1/27645

Least Common Multiple of 95,1455 with GCF Formula

Least Common Multiple of 95,1455 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 95,1455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,1455) = 5

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

GCF(95,1455) x common factors =5 x 1 = 5

LCM(95,1455) = ( 95 × 1455 ) / 5

LCM(95,1455) = 138225 / 5

LCM(95,1455) = 27645


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FAQs on GCF of Fractions of 899/95, 208/1455

1. What is the HCF of 899,208?

The HCF of 899,208 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 899/95, 208/1455?

Answer: GCF of Numerators as per given numbers 899/95, 208/1455 is

GCF of Numerators i.e. for 899,208 is 1

LCM of denominators i.e. for 95,1455 is 27645.

Thus, GCF of Fractions is 1/27645.Finally, GCF of Fractions for 899/95, 208/1455 is 1/27645.