How to Find GCF of 5437/899, 6419/763?

GCF of 5437/899, 6419/763

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 5437/899, 6419/763 i.e 1/685937 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5437/899, 6419/763.

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 5437/899,6419/763?

Given fractions are 5437/899,6419/763

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 5437/899,6419/763, numerators are 5437,6419

Denominators are 899,763

The GCF of 5437,6419 is 1 .

LCM of 899,763 is 685937.

The greatest common factor of 5437/899,6419/763 = [GCF of 5437,6419]/[LCM of 899,763]= 1/685937

Therefore, the GCF of 5437/899,6419/763 is 1/685937.

Greatest Common Factor of 5437,6419

To find the highest common factor of 5437,6419, we have to find the factors of both numbers and list the highest common factor.

The factors of 5437 are 1, 5437

The factors of 6419 are 1, 7, 49, 131, 917, 6419

The HCF of 5437,6419 is 1.

Lets's calculate GCF of 5437,6419

Greatest Common Factor (GCF) of 5437,6419 By Common Division

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

Greatest Common Factor of 5437,6419 By Matching Biggest Common Factor Method

Now, list down the factors of 5437

1,5437

Now, list down the factors of 6419

1,7,49,131,917,6419

Greatest Common Factor

We found the factors 5437,6419 . The biggest common factor number is the GCF number.
So the greatest common factor 5437,6419 is 1.

Lets's calculate LCM of 899,763

Lowest Common Multiple of 899,763 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 685937

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/685937

Therefore, the GCF of Fractions 5437/899,6419/763 is 1/685937

Least Common Multiple of 899,763 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 899,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,763) = 1

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

GCF(899,763) x common factors =1 x 1 = 1

LCM(899,763) = ( 899 × 763 ) / 1

LCM(899,763) = 685937 / 1

LCM(899,763) = 685937

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FAQs on GCF of Fractions of 5437/899, 6419/763

1. What is the HCF of 5437,6419?

The HCF of 5437,6419 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 5437/899, 6419/763?

Answer: GCF of Numerators as per given numbers 5437/899, 6419/763 is

GCF of Numerators i.e. for 5437,6419 is 1

LCM of denominators i.e. for 899,763 is 685937.

Thus, GCF of Fractions is 1/685937.Finally, GCF of Fractions for 5437/899, 6419/763 is 1/685937.