How to Find GCF of 3403/987, 4714/1882?

GCF of 3403/987, 4714/1882

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 3403/987, 4714/1882 i.e 1/1857534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3403/987, 4714/1882.

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 3403/987,4714/1882?

Given fractions are 3403/987,4714/1882

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 3403/987,4714/1882, numerators are 3403,4714

Denominators are 987,1882

The GCF of 3403,4714 is 1 .

LCM of 987,1882 is 1857534.

The greatest common factor of 3403/987,4714/1882 = [GCF of 3403,4714]/[LCM of 987,1882]= 1/1857534

Therefore, the GCF of 3403/987,4714/1882 is 1/1857534.

Greatest Common Factor of 3403,4714

To find the highest common factor of 3403,4714, we have to find the factors of both numbers and list the highest common factor.

The factors of 3403 are 1, 41, 83, 3403

The factors of 4714 are 1, 2, 2357, 4714

The HCF of 3403,4714 is 1.

Lets's calculate GCF of 3403,4714

Greatest Common Factor (GCF) of 3403,4714 By Common Division

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

Greatest Common Factor of 3403,4714 By Matching Biggest Common Factor Method

Now, list down the factors of 3403

1,41,83,3403

Now, list down the factors of 4714

1,2,2357,4714

Greatest Common Factor

We found the factors 3403,4714 . The biggest common factor number is the GCF number.
So the greatest common factor 3403,4714 is 1.

Lets's calculate LCM of 987,1882

Lowest Common Multiple of 987,1882 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1857534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1857534

Therefore, the GCF of Fractions 3403/987,4714/1882 is 1/1857534

Least Common Multiple of 987,1882 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 987,1882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,1882) = 1

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

GCF(987,1882) x common factors =1 x 1 = 1

LCM(987,1882) = ( 987 × 1882 ) / 1

LCM(987,1882) = 1857534 / 1

LCM(987,1882) = 1857534

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FAQs on GCF of Fractions of 3403/987, 4714/1882

1. What is the HCF of 3403,4714?

The HCF of 3403,4714 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 3403/987, 4714/1882?

Answer: GCF of Numerators as per given numbers 3403/987, 4714/1882 is

GCF of Numerators i.e. for 3403,4714 is 1

LCM of denominators i.e. for 987,1882 is 1857534.

Thus, GCF of Fractions is 1/1857534.Finally, GCF of Fractions for 3403/987, 4714/1882 is 1/1857534.