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GCF of 1087/403, 3559/8174

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 1087/403, 3559/8174 i.e 1/3294122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1087/403, 3559/8174.

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 1087/403,3559/8174?

Given fractions are 1087/403,3559/8174

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 1087/403,3559/8174, numerators are 1087,3559

Denominators are 403,8174

The GCF of 1087,3559 is 1 .

LCM of 403,8174 is 3294122.

The greatest common factor of 1087/403,3559/8174 = [GCF of 1087,3559]/[LCM of 403,8174]= 1/3294122

Therefore, the GCF of 1087/403,3559/8174 is 1/3294122.

Greatest Common Factor of 1087,3559

To find the highest common factor of 1087,3559, we have to find the factors of both numbers and list the highest common factor.

The factors of 1087 are 1, 1087

The factors of 3559 are 1, 3559

The HCF of 1087,3559 is 1.

Lets's calculate GCF of 1087,3559

Greatest Common Factor (GCF) of 1087,3559 By Common Division

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

Greatest Common Factor of 1087,3559 By Matching Biggest Common Factor Method

Greatest Common Factor of 1087,3559 By Matching Biggest Common Factor Method

Now, list down the factors of 1087

:

1,1087

Now, list down the factors of 3559

:

1,3559

Greatest Common Factor

We found the factors 1087,3559 . The biggest common factor number is the GCF number.
So the greatest common factor 1087,3559 is 1.

Lets's calculate LCM of 403,8174

Lowest Common Multiple of 403,8174 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3294122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3294122

Therefore, the GCF of Fractions 1087/403,3559/8174 is 1/3294122

Least Common Multiple of 403,8174 with GCF Formula

Least Common Multiple of 403,8174 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 403,8174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,8174) = 1

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

GCF(403,8174) x common factors =1 x 1 = 1

LCM(403,8174) = ( 403 × 8174 ) / 1

LCM(403,8174) = 3294122 / 1

LCM(403,8174) = 3294122


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FAQs on GCF of Fractions of 1087/403, 3559/8174

1. What is the HCF of 1087,3559?

The HCF of 1087,3559 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 1087/403, 3559/8174?

Answer: GCF of Numerators as per given numbers 1087/403, 3559/8174 is

GCF of Numerators i.e. for 1087,3559 is 1

LCM of denominators i.e. for 403,8174 is 3294122.

Thus, GCF of Fractions is 1/3294122.Finally, GCF of Fractions for 1087/403, 3559/8174 is 1/3294122.