How to Find GCF of 5087/685, 7869/6484?

GCF of 5087/685, 7869/6484

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 5087/685, 7869/6484 i.e 1/4441540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5087/685, 7869/6484.

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 5087/685,7869/6484?

Given fractions are 5087/685,7869/6484

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 5087/685,7869/6484, numerators are 5087,7869

Denominators are 685,6484

The GCF of 5087,7869 is 1 .

LCM of 685,6484 is 4441540.

The greatest common factor of 5087/685,7869/6484 = [GCF of 5087,7869]/[LCM of 685,6484]= 1/4441540

Therefore, the GCF of 5087/685,7869/6484 is 1/4441540.

Greatest Common Factor of 5087,7869

To find the highest common factor of 5087,7869, we have to find the factors of both numbers and list the highest common factor.

The factors of 5087 are 1, 5087

The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869

The HCF of 5087,7869 is 1.

Lets's calculate GCF of 5087,7869

Greatest Common Factor (GCF) of 5087,7869 By Common Division

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

Greatest Common Factor of 5087,7869 By Matching Biggest Common Factor Method

Now, list down the factors of 5087

1,5087

Now, list down the factors of 7869

1,3,43,61,129,183,2623,7869

Greatest Common Factor

We found the factors 5087,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 5087,7869 is 1.

Lets's calculate LCM of 685,6484

Lowest Common Multiple of 685,6484 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4441540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4441540

Therefore, the GCF of Fractions 5087/685,7869/6484 is 1/4441540

Least Common Multiple of 685,6484 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 685,6484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,6484) = 1

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

GCF(685,6484) x common factors =1 x 1 = 1

LCM(685,6484) = ( 685 × 6484 ) / 1

LCM(685,6484) = 4441540 / 1

LCM(685,6484) = 4441540

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FAQs on GCF of Fractions of 5087/685, 7869/6484

1. What is the HCF of 5087,7869?

The HCF of 5087,7869 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 5087/685, 7869/6484?

Answer: GCF of Numerators as per given numbers 5087/685, 7869/6484 is

GCF of Numerators i.e. for 5087,7869 is 1

LCM of denominators i.e. for 685,6484 is 4441540.

Thus, GCF of Fractions is 1/4441540.Finally, GCF of Fractions for 5087/685, 7869/6484 is 1/4441540.