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GCF of 7289/962, 4397/613

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 7289/962, 4397/613 i.e 1/589706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7289/962, 4397/613.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7289/962,4397/613?

Given fractions are 7289/962,4397/613

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 7289/962,4397/613, numerators are 7289,4397

Denominators are 962,613

The GCF of 7289,4397 is 1 .

LCM of 962,613 is 589706.

The greatest common factor of 7289/962,4397/613 = [GCF of 7289,4397]/[LCM of 962,613]= 1/589706

Therefore, the GCF of 7289/962,4397/613 is 1/589706.

Greatest Common Factor of 7289,4397

To find the highest common factor of 7289,4397, we have to find the factors of both numbers and list the highest common factor.

The factors of 7289 are 1, 37, 197, 7289

The factors of 4397 are 1, 4397

The HCF of 7289,4397 is 1.

Lets's calculate GCF of 7289,4397

Greatest Common Factor (GCF) of 7289,4397 By Common Division

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

Greatest Common Factor of 7289,4397 By Matching Biggest Common Factor Method

Greatest Common Factor of 7289,4397 By Matching Biggest Common Factor Method

Now, list down the factors of 7289

:

1,37,197,7289

Now, list down the factors of 4397

:

1,4397

Greatest Common Factor

We found the factors 7289,4397 . The biggest common factor number is the GCF number.
So the greatest common factor 7289,4397 is 1.

Lets's calculate LCM of 962,613

Lowest Common Multiple of 962,613 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 589706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/589706

Therefore, the GCF of Fractions 7289/962,4397/613 is 1/589706

Least Common Multiple of 962,613 with GCF Formula

Least Common Multiple of 962,613 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 962,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,613) = 1

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

GCF(962,613) x common factors =1 x 1 = 1

LCM(962,613) = ( 962 × 613 ) / 1

LCM(962,613) = 589706 / 1

LCM(962,613) = 589706


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FAQs on GCF of Fractions of 7289/962, 4397/613

1. What is the HCF of 7289,4397?

The HCF of 7289,4397 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 7289/962, 4397/613?

Answer: GCF of Numerators as per given numbers 7289/962, 4397/613 is

GCF of Numerators i.e. for 7289,4397 is 1

LCM of denominators i.e. for 962,613 is 589706.

Thus, GCF of Fractions is 1/589706.Finally, GCF of Fractions for 7289/962, 4397/613 is 1/589706.