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GCF of 895/95, 819/5995

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 895/95, 819/5995 i.e 1/113905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/95, 819/5995.

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 895/95,819/5995?

Given fractions are 895/95,819/5995

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 895/95,819/5995, numerators are 895,819

Denominators are 95,5995

The GCF of 895,819 is 1 .

LCM of 95,5995 is 113905.

The greatest common factor of 895/95,819/5995 = [GCF of 895,819]/[LCM of 95,5995]= 1/113905

Therefore, the GCF of 895/95,819/5995 is 1/113905.

Greatest Common Factor of 895,819

To find the highest common factor of 895,819, we have to find the factors of both numbers and list the highest common factor.

The factors of 895 are 1, 5, 179, 895

The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

The HCF of 895,819 is 1.

Lets's calculate GCF of 895,819

Greatest Common Factor (GCF) of 895,819 By Common Division

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

Greatest Common Factor of 895,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,819 By Matching Biggest Common Factor Method

Now, list down the factors of 895

:

1,5,179,895

Now, list down the factors of 819

:

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 895,819 . The biggest common factor number is the GCF number.
So the greatest common factor 895,819 is 1.

Lets's calculate LCM of 95,5995

Lowest Common Multiple of 95,5995 using Common Division

5 95, 5995
19, 1199

∴ So the LCM of the given numbers is 5 x 19 x 1199 = 113905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113905

Therefore, the GCF of Fractions 895/95,819/5995 is 1/113905

Least Common Multiple of 95,5995 with GCF Formula

Least Common Multiple of 95,5995 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 95,5995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,5995) = 5

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

GCF(95,5995) x common factors =5 x 1 = 5

LCM(95,5995) = ( 95 × 5995 ) / 5

LCM(95,5995) = 569525 / 5

LCM(95,5995) = 113905


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FAQs on GCF of Fractions of 895/95, 819/5995

1. What is the HCF of 895,819?

The HCF of 895,819 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 895/95, 819/5995?

Answer: GCF of Numerators as per given numbers 895/95, 819/5995 is

GCF of Numerators i.e. for 895,819 is 1

LCM of denominators i.e. for 95,5995 is 113905.

Thus, GCF of Fractions is 1/113905.Finally, GCF of Fractions for 895/95, 819/5995 is 1/113905.