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GCF of 1259/448, 3601/5637

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 1259/448, 3601/5637 i.e 1/2525376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1259/448, 3601/5637.

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 1259/448,3601/5637?

Given fractions are 1259/448,3601/5637

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 1259/448,3601/5637, numerators are 1259,3601

Denominators are 448,5637

The GCF of 1259,3601 is 1 .

LCM of 448,5637 is 2525376.

The greatest common factor of 1259/448,3601/5637 = [GCF of 1259,3601]/[LCM of 448,5637]= 1/2525376

Therefore, the GCF of 1259/448,3601/5637 is 1/2525376.

Greatest Common Factor of 1259,3601

To find the highest common factor of 1259,3601, we have to find the factors of both numbers and list the highest common factor.

The factors of 1259 are 1, 1259

The factors of 3601 are 1, 13, 277, 3601

The HCF of 1259,3601 is 1.

Lets's calculate GCF of 1259,3601

Greatest Common Factor (GCF) of 1259,3601 By Common Division

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

Greatest Common Factor of 1259,3601 By Matching Biggest Common Factor Method

Greatest Common Factor of 1259,3601 By Matching Biggest Common Factor Method

Now, list down the factors of 1259

:

1,1259

Now, list down the factors of 3601

:

1,13,277,3601

Greatest Common Factor

We found the factors 1259,3601 . The biggest common factor number is the GCF number.
So the greatest common factor 1259,3601 is 1.

Lets's calculate LCM of 448,5637

Lowest Common Multiple of 448,5637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2525376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2525376

Therefore, the GCF of Fractions 1259/448,3601/5637 is 1/2525376

Least Common Multiple of 448,5637 with GCF Formula

Least Common Multiple of 448,5637 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 448,5637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,5637) = 1

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

GCF(448,5637) x common factors =1 x 1 = 1

LCM(448,5637) = ( 448 × 5637 ) / 1

LCM(448,5637) = 2525376 / 1

LCM(448,5637) = 2525376


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FAQs on GCF of Fractions of 1259/448, 3601/5637

1. What is the HCF of 1259,3601?

The HCF of 1259,3601 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 1259/448, 3601/5637?

Answer: GCF of Numerators as per given numbers 1259/448, 3601/5637 is

GCF of Numerators i.e. for 1259,3601 is 1

LCM of denominators i.e. for 448,5637 is 2525376.

Thus, GCF of Fractions is 1/2525376.Finally, GCF of Fractions for 1259/448, 3601/5637 is 1/2525376.