How to Find GCF of 7213/448, 3897/8725?

GCF of 7213/448, 3897/8725

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 7213/448, 3897/8725 i.e 1/3908800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7213/448, 3897/8725.

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 7213/448,3897/8725?

Given fractions are 7213/448,3897/8725

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 7213/448,3897/8725, numerators are 7213,3897

Denominators are 448,8725

The GCF of 7213,3897 is 1 .

LCM of 448,8725 is 3908800.

The greatest common factor of 7213/448,3897/8725 = [GCF of 7213,3897]/[LCM of 448,8725]= 1/3908800

Therefore, the GCF of 7213/448,3897/8725 is 1/3908800.

Greatest Common Factor of 7213,3897

To find the highest common factor of 7213,3897, we have to find the factors of both numbers and list the highest common factor.

The factors of 7213 are 1, 7213

The factors of 3897 are 1, 3, 9, 433, 1299, 3897

The HCF of 7213,3897 is 1.

Lets's calculate GCF of 7213,3897

Greatest Common Factor (GCF) of 7213,3897 By Common Division

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

Greatest Common Factor of 7213,3897 By Matching Biggest Common Factor Method

Now, list down the factors of 7213

1,7213

Now, list down the factors of 3897

1,3,9,433,1299,3897

Greatest Common Factor

We found the factors 7213,3897 . The biggest common factor number is the GCF number.
So the greatest common factor 7213,3897 is 1.

Lets's calculate LCM of 448,8725

Lowest Common Multiple of 448,8725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3908800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3908800

Therefore, the GCF of Fractions 7213/448,3897/8725 is 1/3908800

Least Common Multiple of 448,8725 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 448,8725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,8725) = 1

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

GCF(448,8725) x common factors =1 x 1 = 1

LCM(448,8725) = ( 448 × 8725 ) / 1

LCM(448,8725) = 3908800 / 1

LCM(448,8725) = 3908800

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FAQs on GCF of Fractions of 7213/448, 3897/8725

1. What is the HCF of 7213,3897?

The HCF of 7213,3897 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 7213/448, 3897/8725?

Answer: GCF of Numerators as per given numbers 7213/448, 3897/8725 is

GCF of Numerators i.e. for 7213,3897 is 1

LCM of denominators i.e. for 448,8725 is 3908800.

Thus, GCF of Fractions is 1/3908800.Finally, GCF of Fractions for 7213/448, 3897/8725 is 1/3908800.