How to Find GCF of 6447/152, 1825/7373?

GCF of 6447/152, 1825/7373

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 6447/152, 1825/7373 i.e 1/1120696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6447/152, 1825/7373.

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 6447/152,1825/7373?

Given fractions are 6447/152,1825/7373

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 6447/152,1825/7373, numerators are 6447,1825

Denominators are 152,7373

The GCF of 6447,1825 is 1 .

LCM of 152,7373 is 1120696.

The greatest common factor of 6447/152,1825/7373 = [GCF of 6447,1825]/[LCM of 152,7373]= 1/1120696

Therefore, the GCF of 6447/152,1825/7373 is 1/1120696.

Greatest Common Factor of 6447,1825

To find the highest common factor of 6447,1825, we have to find the factors of both numbers and list the highest common factor.

The factors of 6447 are 1, 3, 7, 21, 307, 921, 2149, 6447

The factors of 1825 are 1, 5, 25, 73, 365, 1825

The HCF of 6447,1825 is 1.

Lets's calculate GCF of 6447,1825

Greatest Common Factor (GCF) of 6447,1825 By Common Division

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

Greatest Common Factor of 6447,1825 By Matching Biggest Common Factor Method

Now, list down the factors of 6447

1,3,7,21,307,921,2149,6447

Now, list down the factors of 1825

1,5,25,73,365,1825

Greatest Common Factor

We found the factors 6447,1825 . The biggest common factor number is the GCF number.
So the greatest common factor 6447,1825 is 1.

Lets's calculate LCM of 152,7373

Lowest Common Multiple of 152,7373 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1120696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1120696

Therefore, the GCF of Fractions 6447/152,1825/7373 is 1/1120696

Least Common Multiple of 152,7373 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 152,7373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,7373) = 1

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

GCF(152,7373) x common factors =1 x 1 = 1

LCM(152,7373) = ( 152 × 7373 ) / 1

LCM(152,7373) = 1120696 / 1

LCM(152,7373) = 1120696

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FAQs on GCF of Fractions of 6447/152, 1825/7373

1. What is the HCF of 6447,1825?

The HCF of 6447,1825 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 6447/152, 1825/7373?

Answer: GCF of Numerators as per given numbers 6447/152, 1825/7373 is

GCF of Numerators i.e. for 6447,1825 is 1

LCM of denominators i.e. for 152,7373 is 1120696.

Thus, GCF of Fractions is 1/1120696.Finally, GCF of Fractions for 6447/152, 1825/7373 is 1/1120696.