How to Find GCF of 1783/337, 8028/604?

GCF of 1783/337, 8028/604

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 1783/337, 8028/604 i.e 1/203548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1783/337, 8028/604.

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 1783/337,8028/604?

Given fractions are 1783/337,8028/604

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 1783/337,8028/604, numerators are 1783,8028

Denominators are 337,604

The GCF of 1783,8028 is 1 .

LCM of 337,604 is 203548.

The greatest common factor of 1783/337,8028/604 = [GCF of 1783,8028]/[LCM of 337,604]= 1/203548

Therefore, the GCF of 1783/337,8028/604 is 1/203548.

Greatest Common Factor of 1783,8028

To find the highest common factor of 1783,8028, we have to find the factors of both numbers and list the highest common factor.

The factors of 1783 are 1, 1783

The factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028

The HCF of 1783,8028 is 1.

Lets's calculate GCF of 1783,8028

Greatest Common Factor (GCF) of 1783,8028 By Common Division

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

Greatest Common Factor of 1783,8028 By Matching Biggest Common Factor Method

Now, list down the factors of 1783

1,1783

Now, list down the factors of 8028

1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028

Greatest Common Factor

We found the factors 1783,8028 . The biggest common factor number is the GCF number.
So the greatest common factor 1783,8028 is 1.

Lets's calculate LCM of 337,604

Lowest Common Multiple of 337,604 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 203548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203548

Therefore, the GCF of Fractions 1783/337,8028/604 is 1/203548

Least Common Multiple of 337,604 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 337,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,604) = 1

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

GCF(337,604) x common factors =1 x 1 = 1

LCM(337,604) = ( 337 × 604 ) / 1

LCM(337,604) = 203548 / 1

LCM(337,604) = 203548

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FAQs on GCF of Fractions of 1783/337, 8028/604

1. What is the HCF of 1783,8028?

The HCF of 1783,8028 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 1783/337, 8028/604?

Answer: GCF of Numerators as per given numbers 1783/337, 8028/604 is

GCF of Numerators i.e. for 1783,8028 is 1

LCM of denominators i.e. for 337,604 is 203548.

Thus, GCF of Fractions is 1/203548.Finally, GCF of Fractions for 1783/337, 8028/604 is 1/203548.