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GCF of 4325/263, 8059/1878

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 4325/263, 8059/1878 i.e 1/493914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4325/263, 8059/1878.

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 4325/263,8059/1878?

Given fractions are 4325/263,8059/1878

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 4325/263,8059/1878, numerators are 4325,8059

Denominators are 263,1878

The GCF of 4325,8059 is 1 .

LCM of 263,1878 is 493914.

The greatest common factor of 4325/263,8059/1878 = [GCF of 4325,8059]/[LCM of 263,1878]= 1/493914

Therefore, the GCF of 4325/263,8059/1878 is 1/493914.

Greatest Common Factor of 4325,8059

To find the highest common factor of 4325,8059, we have to find the factors of both numbers and list the highest common factor.

The factors of 4325 are 1, 5, 25, 173, 865, 4325

The factors of 8059 are 1, 8059

The HCF of 4325,8059 is 1.

Lets's calculate GCF of 4325,8059

Greatest Common Factor (GCF) of 4325,8059 By Common Division

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

Greatest Common Factor of 4325,8059 By Matching Biggest Common Factor Method

Greatest Common Factor of 4325,8059 By Matching Biggest Common Factor Method

Now, list down the factors of 4325

:

1,5,25,173,865,4325

Now, list down the factors of 8059

:

1,8059

Greatest Common Factor

We found the factors 4325,8059 . The biggest common factor number is the GCF number.
So the greatest common factor 4325,8059 is 1.

Lets's calculate LCM of 263,1878

Lowest Common Multiple of 263,1878 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 493914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493914

Therefore, the GCF of Fractions 4325/263,8059/1878 is 1/493914

Least Common Multiple of 263,1878 with GCF Formula

Least Common Multiple of 263,1878 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 263,1878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,1878) = 1

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

GCF(263,1878) x common factors =1 x 1 = 1

LCM(263,1878) = ( 263 × 1878 ) / 1

LCM(263,1878) = 493914 / 1

LCM(263,1878) = 493914


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FAQs on GCF of Fractions of 4325/263, 8059/1878

1. What is the HCF of 4325,8059?

The HCF of 4325,8059 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 4325/263, 8059/1878?

Answer: GCF of Numerators as per given numbers 4325/263, 8059/1878 is

GCF of Numerators i.e. for 4325,8059 is 1

LCM of denominators i.e. for 263,1878 is 493914.

Thus, GCF of Fractions is 1/493914.Finally, GCF of Fractions for 4325/263, 8059/1878 is 1/493914.