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GCF of 4197/253, 1203/504

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 4197/253, 1203/504 i.e 3/127512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4197/253, 1203/504.

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 4197/253,1203/504?

Given fractions are 4197/253,1203/504

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 4197/253,1203/504, numerators are 4197,1203

Denominators are 253,504

The GCF of 4197,1203 is 3 .

LCM of 253,504 is 127512.

The greatest common factor of 4197/253,1203/504 = [GCF of 4197,1203]/[LCM of 253,504]= 3/127512

Therefore, the GCF of 4197/253,1203/504 is 3/127512.

Greatest Common Factor of 4197,1203

To find the highest common factor of 4197,1203, we have to find the factors of both numbers and list the highest common factor.

The factors of 4197 are 1, 3, 1399, 4197

The factors of 1203 are 1, 3, 401, 1203

The HCF of 4197,1203 is 3.

Lets's calculate GCF of 4197,1203

Greatest Common Factor (GCF) of 4197,1203 By Common Division

3 4197, 1203
1399, 401

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4197,1203 By Matching Biggest Common Factor Method

Greatest Common Factor of 4197,1203 By Matching Biggest Common Factor Method

Now, list down the factors of 4197

:

1,3,1399,4197

Now, list down the factors of 1203

:

1,3,401,1203

Greatest Common Factor

We found the factors 4197,1203 . The biggest common factor number is the GCF number.
So the greatest common factor 4197,1203 is 3.

Lets's calculate LCM of 253,504

Lowest Common Multiple of 253,504 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 127512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/127512

Therefore, the GCF of Fractions 4197/253,1203/504 is 3/127512

Least Common Multiple of 253,504 with GCF Formula

Least Common Multiple of 253,504 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 253,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,504) = 1

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

GCF(253,504) x common factors =1 x 1 = 1

LCM(253,504) = ( 253 × 504 ) / 1

LCM(253,504) = 127512 / 1

LCM(253,504) = 127512


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FAQs on GCF of Fractions of 4197/253, 1203/504

1. What is the HCF of 4197,1203?

The HCF of 4197,1203 is 3

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 4197/253, 1203/504?

Answer: GCF of Numerators as per given numbers 4197/253, 1203/504 is

GCF of Numerators i.e. for 4197,1203 is 3

LCM of denominators i.e. for 253,504 is 127512.

Thus, GCF of Fractions is 3/127512.Finally, GCF of Fractions for 4197/253, 1203/504 is 3/127512.