How to Find GCF of 8195/285, 8719/4200?

GCF of 8195/285, 8719/4200

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 8195/285, 8719/4200 i.e 1/79800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8195/285, 8719/4200.

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 8195/285,8719/4200?

Given fractions are 8195/285,8719/4200

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 8195/285,8719/4200, numerators are 8195,8719

Denominators are 285,4200

The GCF of 8195,8719 is 1 .

LCM of 285,4200 is 79800.

The greatest common factor of 8195/285,8719/4200 = [GCF of 8195,8719]/[LCM of 285,4200]= 1/79800

Therefore, the GCF of 8195/285,8719/4200 is 1/79800.

Greatest Common Factor of 8195,8719

To find the highest common factor of 8195,8719, we have to find the factors of both numbers and list the highest common factor.

The factors of 8195 are 1, 5, 11, 55, 149, 745, 1639, 8195

The factors of 8719 are 1, 8719

The HCF of 8195,8719 is 1.

Lets's calculate GCF of 8195,8719

Greatest Common Factor (GCF) of 8195,8719 By Common Division

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

Greatest Common Factor of 8195,8719 By Matching Biggest Common Factor Method

Now, list down the factors of 8195

1,5,11,55,149,745,1639,8195

Now, list down the factors of 8719

1,8719

Greatest Common Factor

We found the factors 8195,8719 . The biggest common factor number is the GCF number.
So the greatest common factor 8195,8719 is 1.

Lets's calculate LCM of 285,4200

Lowest Common Multiple of 285,4200 using Common Division

3	285, 4200
5	95, 1400
	19, 280

∴ So the LCM of the given numbers is 3 x 5 x 19 x 280 = 79800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79800

Therefore, the GCF of Fractions 8195/285,8719/4200 is 1/79800

Least Common Multiple of 285,4200 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 285,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,4200) = 15

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

GCF(285,4200) x common factors =15 x 1 = 15

LCM(285,4200) = ( 285 × 4200 ) / 15

LCM(285,4200) = 1197000 / 15

LCM(285,4200) = 79800

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FAQs on GCF of Fractions of 8195/285, 8719/4200

1. What is the HCF of 8195,8719?

The HCF of 8195,8719 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 8195/285, 8719/4200?

Answer: GCF of Numerators as per given numbers 8195/285, 8719/4200 is

GCF of Numerators i.e. for 8195,8719 is 1

LCM of denominators i.e. for 285,4200 is 79800.

Thus, GCF of Fractions is 1/79800.Finally, GCF of Fractions for 8195/285, 8719/4200 is 1/79800.