How to Find GCF of 3203/975, 4777/1331?

GCF of 3203/975, 4777/1331

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 3203/975, 4777/1331 i.e 1/1297725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3203/975, 4777/1331.

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 3203/975,4777/1331?

Given fractions are 3203/975,4777/1331

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 3203/975,4777/1331, numerators are 3203,4777

Denominators are 975,1331

The GCF of 3203,4777 is 1 .

LCM of 975,1331 is 1297725.

The greatest common factor of 3203/975,4777/1331 = [GCF of 3203,4777]/[LCM of 975,1331]= 1/1297725

Therefore, the GCF of 3203/975,4777/1331 is 1/1297725.

Greatest Common Factor of 3203,4777

To find the highest common factor of 3203,4777, we have to find the factors of both numbers and list the highest common factor.

The factors of 3203 are 1, 3203

The factors of 4777 are 1, 17, 281, 4777

The HCF of 3203,4777 is 1.

Lets's calculate GCF of 3203,4777

Greatest Common Factor (GCF) of 3203,4777 By Common Division

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

Greatest Common Factor of 3203,4777 By Matching Biggest Common Factor Method

Now, list down the factors of 3203

1,3203

Now, list down the factors of 4777

1,17,281,4777

Greatest Common Factor

We found the factors 3203,4777 . The biggest common factor number is the GCF number.
So the greatest common factor 3203,4777 is 1.

Lets's calculate LCM of 975,1331

Lowest Common Multiple of 975,1331 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1297725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1297725

Therefore, the GCF of Fractions 3203/975,4777/1331 is 1/1297725

Least Common Multiple of 975,1331 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 975,1331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,1331) = 1

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

GCF(975,1331) x common factors =1 x 1 = 1

LCM(975,1331) = ( 975 × 1331 ) / 1

LCM(975,1331) = 1297725 / 1

LCM(975,1331) = 1297725

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FAQs on GCF of Fractions of 3203/975, 4777/1331

1. What is the HCF of 3203,4777?

The HCF of 3203,4777 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 3203/975, 4777/1331?

Answer: GCF of Numerators as per given numbers 3203/975, 4777/1331 is

GCF of Numerators i.e. for 3203,4777 is 1

LCM of denominators i.e. for 975,1331 is 1297725.

Thus, GCF of Fractions is 1/1297725.Finally, GCF of Fractions for 3203/975, 4777/1331 is 1/1297725.