How to Find GCF of 8397/570, 7417/8467?

GCF of 8397/570, 7417/8467

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 8397/570, 7417/8467 i.e 1/4826190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8397/570, 7417/8467.

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 8397/570,7417/8467?

Given fractions are 8397/570,7417/8467

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 8397/570,7417/8467, numerators are 8397,7417

Denominators are 570,8467

The GCF of 8397,7417 is 1 .

LCM of 570,8467 is 4826190.

The greatest common factor of 8397/570,7417/8467 = [GCF of 8397,7417]/[LCM of 570,8467]= 1/4826190

Therefore, the GCF of 8397/570,7417/8467 is 1/4826190.

Greatest Common Factor of 8397,7417

To find the highest common factor of 8397,7417, we have to find the factors of both numbers and list the highest common factor.

The factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397

The factors of 7417 are 1, 7417

The HCF of 8397,7417 is 1.

Lets's calculate GCF of 8397,7417

Greatest Common Factor (GCF) of 8397,7417 By Common Division

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

Greatest Common Factor of 8397,7417 By Matching Biggest Common Factor Method

Now, list down the factors of 8397

1,3,9,27,311,933,2799,8397

Now, list down the factors of 7417

1,7417

Greatest Common Factor

We found the factors 8397,7417 . The biggest common factor number is the GCF number.
So the greatest common factor 8397,7417 is 1.

Lets's calculate LCM of 570,8467

Lowest Common Multiple of 570,8467 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4826190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4826190

Therefore, the GCF of Fractions 8397/570,7417/8467 is 1/4826190

Least Common Multiple of 570,8467 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 570,8467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,8467) = 1

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

GCF(570,8467) x common factors =1 x 1 = 1

LCM(570,8467) = ( 570 × 8467 ) / 1

LCM(570,8467) = 4826190 / 1

LCM(570,8467) = 4826190

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FAQs on GCF of Fractions of 8397/570, 7417/8467

1. What is the HCF of 8397,7417?

The HCF of 8397,7417 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 8397/570, 7417/8467?

Answer: GCF of Numerators as per given numbers 8397/570, 7417/8467 is

GCF of Numerators i.e. for 8397,7417 is 1

LCM of denominators i.e. for 570,8467 is 4826190.

Thus, GCF of Fractions is 1/4826190.Finally, GCF of Fractions for 8397/570, 7417/8467 is 1/4826190.