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GCF of 5387/457, 1259/5601

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 5387/457, 1259/5601 i.e 1/2559657 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5387/457, 1259/5601.

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 5387/457,1259/5601?

Given fractions are 5387/457,1259/5601

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 5387/457,1259/5601, numerators are 5387,1259

Denominators are 457,5601

The GCF of 5387,1259 is 1 .

LCM of 457,5601 is 2559657.

The greatest common factor of 5387/457,1259/5601 = [GCF of 5387,1259]/[LCM of 457,5601]= 1/2559657

Therefore, the GCF of 5387/457,1259/5601 is 1/2559657.

Greatest Common Factor of 5387,1259

To find the highest common factor of 5387,1259, we have to find the factors of both numbers and list the highest common factor.

The factors of 5387 are 1, 5387

The factors of 1259 are 1, 1259

The HCF of 5387,1259 is 1.

Lets's calculate GCF of 5387,1259

Greatest Common Factor (GCF) of 5387,1259 By Common Division

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

Greatest Common Factor of 5387,1259 By Matching Biggest Common Factor Method

Greatest Common Factor of 5387,1259 By Matching Biggest Common Factor Method

Now, list down the factors of 5387

:

1,5387

Now, list down the factors of 1259

:

1,1259

Greatest Common Factor

We found the factors 5387,1259 . The biggest common factor number is the GCF number.
So the greatest common factor 5387,1259 is 1.

Lets's calculate LCM of 457,5601

Lowest Common Multiple of 457,5601 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2559657

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2559657

Therefore, the GCF of Fractions 5387/457,1259/5601 is 1/2559657

Least Common Multiple of 457,5601 with GCF Formula

Least Common Multiple of 457,5601 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 457,5601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,5601) = 1

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

GCF(457,5601) x common factors =1 x 1 = 1

LCM(457,5601) = ( 457 × 5601 ) / 1

LCM(457,5601) = 2559657 / 1

LCM(457,5601) = 2559657


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FAQs on GCF of Fractions of 5387/457, 1259/5601

1. What is the HCF of 5387,1259?

The HCF of 5387,1259 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 5387/457, 1259/5601?

Answer: GCF of Numerators as per given numbers 5387/457, 1259/5601 is

GCF of Numerators i.e. for 5387,1259 is 1

LCM of denominators i.e. for 457,5601 is 2559657.

Thus, GCF of Fractions is 1/2559657.Finally, GCF of Fractions for 5387/457, 1259/5601 is 1/2559657.