How to Find GCF of 6744/228, 1567/7859?

GCF of 6744/228, 1567/7859

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 6744/228, 1567/7859 i.e 1/1791852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6744/228, 1567/7859.

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 6744/228,1567/7859?

Given fractions are 6744/228,1567/7859

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 6744/228,1567/7859, numerators are 6744,1567

Denominators are 228,7859

The GCF of 6744,1567 is 1 .

LCM of 228,7859 is 1791852.

The greatest common factor of 6744/228,1567/7859 = [GCF of 6744,1567]/[LCM of 228,7859]= 1/1791852

Therefore, the GCF of 6744/228,1567/7859 is 1/1791852.

Greatest Common Factor of 6744,1567

To find the highest common factor of 6744,1567, we have to find the factors of both numbers and list the highest common factor.

The factors of 6744 are 1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744

The factors of 1567 are 1, 1567

The HCF of 6744,1567 is 1.

Lets's calculate GCF of 6744,1567

Greatest Common Factor (GCF) of 6744,1567 By Common Division

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

Greatest Common Factor of 6744,1567 By Matching Biggest Common Factor Method

Now, list down the factors of 6744

1,2,3,4,6,8,12,24,281,562,843,1124,1686,2248,3372,6744

Now, list down the factors of 1567

1,1567

Greatest Common Factor

We found the factors 6744,1567 . The biggest common factor number is the GCF number.
So the greatest common factor 6744,1567 is 1.

Lets's calculate LCM of 228,7859

Lowest Common Multiple of 228,7859 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1791852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1791852

Therefore, the GCF of Fractions 6744/228,1567/7859 is 1/1791852

Least Common Multiple of 228,7859 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 228,7859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,7859) = 1

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

GCF(228,7859) x common factors =1 x 1 = 1

LCM(228,7859) = ( 228 × 7859 ) / 1

LCM(228,7859) = 1791852 / 1

LCM(228,7859) = 1791852

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6744/228, 1567/7859

1. What is the HCF of 6744,1567?

The HCF of 6744,1567 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 6744/228, 1567/7859?

Answer: GCF of Numerators as per given numbers 6744/228, 1567/7859 is

GCF of Numerators i.e. for 6744,1567 is 1

LCM of denominators i.e. for 228,7859 is 1791852.

Thus, GCF of Fractions is 1/1791852.Finally, GCF of Fractions for 6744/228, 1567/7859 is 1/1791852.