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GCF of 4397/480, 7561/147

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 4397/480, 7561/147 i.e 1/23520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4397/480, 7561/147.

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 4397/480,7561/147?

Given fractions are 4397/480,7561/147

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 4397/480,7561/147, numerators are 4397,7561

Denominators are 480,147

The GCF of 4397,7561 is 1 .

LCM of 480,147 is 23520.

The greatest common factor of 4397/480,7561/147 = [GCF of 4397,7561]/[LCM of 480,147]= 1/23520

Therefore, the GCF of 4397/480,7561/147 is 1/23520.

Greatest Common Factor of 4397,7561

To find the highest common factor of 4397,7561, we have to find the factors of both numbers and list the highest common factor.

The factors of 4397 are 1, 4397

The factors of 7561 are 1, 7561

The HCF of 4397,7561 is 1.

Lets's calculate GCF of 4397,7561

Greatest Common Factor (GCF) of 4397,7561 By Common Division

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

Greatest Common Factor of 4397,7561 By Matching Biggest Common Factor Method

Greatest Common Factor of 4397,7561 By Matching Biggest Common Factor Method

Now, list down the factors of 4397

:

1,4397

Now, list down the factors of 7561

:

1,7561

Greatest Common Factor

We found the factors 4397,7561 . The biggest common factor number is the GCF number.
So the greatest common factor 4397,7561 is 1.

Lets's calculate LCM of 480,147

Lowest Common Multiple of 480,147 using Common Division

3 480, 147
160, 49

∴ So the LCM of the given numbers is 3 x 160 x 49 = 23520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23520

Therefore, the GCF of Fractions 4397/480,7561/147 is 1/23520

Least Common Multiple of 480,147 with GCF Formula

Least Common Multiple of 480,147 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 480,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,147) = 3

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

GCF(480,147) x common factors =3 x 1 = 3

LCM(480,147) = ( 480 × 147 ) / 3

LCM(480,147) = 70560 / 3

LCM(480,147) = 23520


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FAQs on GCF of Fractions of 4397/480, 7561/147

1. What is the HCF of 4397,7561?

The HCF of 4397,7561 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 4397/480, 7561/147?

Answer: GCF of Numerators as per given numbers 4397/480, 7561/147 is

GCF of Numerators i.e. for 4397,7561 is 1

LCM of denominators i.e. for 480,147 is 23520.

Thus, GCF of Fractions is 1/23520.Finally, GCF of Fractions for 4397/480, 7561/147 is 1/23520.