How to Find GCF of 4391/215, 5601/3488?

GCF of 4391/215, 5601/3488

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 4391/215, 5601/3488 i.e 1/749920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4391/215, 5601/3488.

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 4391/215,5601/3488?

Given fractions are 4391/215,5601/3488

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 4391/215,5601/3488, numerators are 4391,5601

Denominators are 215,3488

The GCF of 4391,5601 is 1 .

LCM of 215,3488 is 749920.

The greatest common factor of 4391/215,5601/3488 = [GCF of 4391,5601]/[LCM of 215,3488]= 1/749920

Therefore, the GCF of 4391/215,5601/3488 is 1/749920.

Greatest Common Factor of 4391,5601

To find the highest common factor of 4391,5601, we have to find the factors of both numbers and list the highest common factor.

The factors of 4391 are 1, 4391

The factors of 5601 are 1, 3, 1867, 5601

The HCF of 4391,5601 is 1.

Lets's calculate GCF of 4391,5601

Greatest Common Factor (GCF) of 4391,5601 By Common Division

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

Greatest Common Factor of 4391,5601 By Matching Biggest Common Factor Method

Now, list down the factors of 4391

1,4391

Now, list down the factors of 5601

1,3,1867,5601

Greatest Common Factor

We found the factors 4391,5601 . The biggest common factor number is the GCF number.
So the greatest common factor 4391,5601 is 1.

Lets's calculate LCM of 215,3488

Lowest Common Multiple of 215,3488 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 749920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749920

Therefore, the GCF of Fractions 4391/215,5601/3488 is 1/749920

Least Common Multiple of 215,3488 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 215,3488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,3488) = 1

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

GCF(215,3488) x common factors =1 x 1 = 1

LCM(215,3488) = ( 215 × 3488 ) / 1

LCM(215,3488) = 749920 / 1

LCM(215,3488) = 749920

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FAQs on GCF of Fractions of 4391/215, 5601/3488

1. What is the HCF of 4391,5601?

The HCF of 4391,5601 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 4391/215, 5601/3488?

Answer: GCF of Numerators as per given numbers 4391/215, 5601/3488 is

GCF of Numerators i.e. for 4391,5601 is 1

LCM of denominators i.e. for 215,3488 is 749920.

Thus, GCF of Fractions is 1/749920.Finally, GCF of Fractions for 4391/215, 5601/3488 is 1/749920.