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GCF of 1873/481, 6738/854

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 1873/481, 6738/854 i.e 1/410774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1873/481, 6738/854.

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 1873/481,6738/854?

Given fractions are 1873/481,6738/854

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 1873/481,6738/854, numerators are 1873,6738

Denominators are 481,854

The GCF of 1873,6738 is 1 .

LCM of 481,854 is 410774.

The greatest common factor of 1873/481,6738/854 = [GCF of 1873,6738]/[LCM of 481,854]= 1/410774

Therefore, the GCF of 1873/481,6738/854 is 1/410774.

Greatest Common Factor of 1873,6738

To find the highest common factor of 1873,6738, we have to find the factors of both numbers and list the highest common factor.

The factors of 1873 are 1, 1873

The factors of 6738 are 1, 2, 3, 6, 1123, 2246, 3369, 6738

The HCF of 1873,6738 is 1.

Lets's calculate GCF of 1873,6738

Greatest Common Factor (GCF) of 1873,6738 By Common Division

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

Greatest Common Factor of 1873,6738 By Matching Biggest Common Factor Method

Greatest Common Factor of 1873,6738 By Matching Biggest Common Factor Method

Now, list down the factors of 1873

:

1,1873

Now, list down the factors of 6738

:

1,2,3,6,1123,2246,3369,6738

Greatest Common Factor

We found the factors 1873,6738 . The biggest common factor number is the GCF number.
So the greatest common factor 1873,6738 is 1.

Lets's calculate LCM of 481,854

Lowest Common Multiple of 481,854 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 410774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410774

Therefore, the GCF of Fractions 1873/481,6738/854 is 1/410774

Least Common Multiple of 481,854 with GCF Formula

Least Common Multiple of 481,854 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 481,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,854) = 1

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

GCF(481,854) x common factors =1 x 1 = 1

LCM(481,854) = ( 481 × 854 ) / 1

LCM(481,854) = 410774 / 1

LCM(481,854) = 410774


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FAQs on GCF of Fractions of 1873/481, 6738/854

1. What is the HCF of 1873,6738?

The HCF of 1873,6738 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 1873/481, 6738/854?

Answer: GCF of Numerators as per given numbers 1873/481, 6738/854 is

GCF of Numerators i.e. for 1873,6738 is 1

LCM of denominators i.e. for 481,854 is 410774.

Thus, GCF of Fractions is 1/410774.Finally, GCF of Fractions for 1873/481, 6738/854 is 1/410774.