How to Find GCF of 5069/289, 4295/619?

GCF of 5069/289, 4295/619

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 5069/289, 4295/619 i.e 1/178891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5069/289, 4295/619.

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 5069/289,4295/619?

Given fractions are 5069/289,4295/619

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 5069/289,4295/619, numerators are 5069,4295

Denominators are 289,619

The GCF of 5069,4295 is 1 .

LCM of 289,619 is 178891.

The greatest common factor of 5069/289,4295/619 = [GCF of 5069,4295]/[LCM of 289,619]= 1/178891

Therefore, the GCF of 5069/289,4295/619 is 1/178891.

Greatest Common Factor of 5069,4295

To find the highest common factor of 5069,4295, we have to find the factors of both numbers and list the highest common factor.

The factors of 5069 are 1, 37, 137, 5069

The factors of 4295 are 1, 5, 859, 4295

The HCF of 5069,4295 is 1.

Lets's calculate GCF of 5069,4295

Greatest Common Factor (GCF) of 5069,4295 By Common Division

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

Greatest Common Factor of 5069,4295 By Matching Biggest Common Factor Method

Now, list down the factors of 5069

1,37,137,5069

Now, list down the factors of 4295

1,5,859,4295

Greatest Common Factor

We found the factors 5069,4295 . The biggest common factor number is the GCF number.
So the greatest common factor 5069,4295 is 1.

Lets's calculate LCM of 289,619

Lowest Common Multiple of 289,619 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 178891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178891

Therefore, the GCF of Fractions 5069/289,4295/619 is 1/178891

Least Common Multiple of 289,619 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 289,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,619) = 1

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

GCF(289,619) x common factors =1 x 1 = 1

LCM(289,619) = ( 289 × 619 ) / 1

LCM(289,619) = 178891 / 1

LCM(289,619) = 178891

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FAQs on GCF of Fractions of 5069/289, 4295/619

1. What is the HCF of 5069,4295?

The HCF of 5069,4295 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 5069/289, 4295/619?

Answer: GCF of Numerators as per given numbers 5069/289, 4295/619 is

GCF of Numerators i.e. for 5069,4295 is 1

LCM of denominators i.e. for 289,619 is 178891.

Thus, GCF of Fractions is 1/178891.Finally, GCF of Fractions for 5069/289, 4295/619 is 1/178891.