How to Find GCF of 6558/893, 7391/1945?

GCF of 6558/893, 7391/1945

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 6558/893, 7391/1945 i.e 1/1736885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6558/893, 7391/1945.

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 6558/893,7391/1945?

Given fractions are 6558/893,7391/1945

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 6558/893,7391/1945, numerators are 6558,7391

Denominators are 893,1945

The GCF of 6558,7391 is 1 .

LCM of 893,1945 is 1736885.

The greatest common factor of 6558/893,7391/1945 = [GCF of 6558,7391]/[LCM of 893,1945]= 1/1736885

Therefore, the GCF of 6558/893,7391/1945 is 1/1736885.

Greatest Common Factor of 6558,7391

To find the highest common factor of 6558,7391, we have to find the factors of both numbers and list the highest common factor.

The factors of 6558 are 1, 2, 3, 6, 1093, 2186, 3279, 6558

The factors of 7391 are 1, 19, 389, 7391

The HCF of 6558,7391 is 1.

Lets's calculate GCF of 6558,7391

Greatest Common Factor (GCF) of 6558,7391 By Common Division

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

Greatest Common Factor of 6558,7391 By Matching Biggest Common Factor Method

Now, list down the factors of 6558

1,2,3,6,1093,2186,3279,6558

Now, list down the factors of 7391

1,19,389,7391

Greatest Common Factor

We found the factors 6558,7391 . The biggest common factor number is the GCF number.
So the greatest common factor 6558,7391 is 1.

Lets's calculate LCM of 893,1945

Lowest Common Multiple of 893,1945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1736885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1736885

Therefore, the GCF of Fractions 6558/893,7391/1945 is 1/1736885

Least Common Multiple of 893,1945 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 893,1945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,1945) = 1

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

GCF(893,1945) x common factors =1 x 1 = 1

LCM(893,1945) = ( 893 × 1945 ) / 1

LCM(893,1945) = 1736885 / 1

LCM(893,1945) = 1736885

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FAQs on GCF of Fractions of 6558/893, 7391/1945

1. What is the HCF of 6558,7391?

The HCF of 6558,7391 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 6558/893, 7391/1945?

Answer: GCF of Numerators as per given numbers 6558/893, 7391/1945 is

GCF of Numerators i.e. for 6558,7391 is 1

LCM of denominators i.e. for 893,1945 is 1736885.

Thus, GCF of Fractions is 1/1736885.Finally, GCF of Fractions for 6558/893, 7391/1945 is 1/1736885.