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GCF of 1837/605, 5437/852

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 1837/605, 5437/852 i.e 1/515460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1837/605, 5437/852.

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 1837/605,5437/852?

Given fractions are 1837/605,5437/852

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 1837/605,5437/852, numerators are 1837,5437

Denominators are 605,852

The GCF of 1837,5437 is 1 .

LCM of 605,852 is 515460.

The greatest common factor of 1837/605,5437/852 = [GCF of 1837,5437]/[LCM of 605,852]= 1/515460

Therefore, the GCF of 1837/605,5437/852 is 1/515460.

Greatest Common Factor of 1837,5437

To find the highest common factor of 1837,5437, we have to find the factors of both numbers and list the highest common factor.

The factors of 1837 are 1, 11, 167, 1837

The factors of 5437 are 1, 5437

The HCF of 1837,5437 is 1.

Lets's calculate GCF of 1837,5437

Greatest Common Factor (GCF) of 1837,5437 By Common Division

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

Greatest Common Factor of 1837,5437 By Matching Biggest Common Factor Method

Greatest Common Factor of 1837,5437 By Matching Biggest Common Factor Method

Now, list down the factors of 1837

:

1,11,167,1837

Now, list down the factors of 5437

:

1,5437

Greatest Common Factor

We found the factors 1837,5437 . The biggest common factor number is the GCF number.
So the greatest common factor 1837,5437 is 1.

Lets's calculate LCM of 605,852

Lowest Common Multiple of 605,852 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 515460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515460

Therefore, the GCF of Fractions 1837/605,5437/852 is 1/515460

Least Common Multiple of 605,852 with GCF Formula

Least Common Multiple of 605,852 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 605,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,852) = 1

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

GCF(605,852) x common factors =1 x 1 = 1

LCM(605,852) = ( 605 × 852 ) / 1

LCM(605,852) = 515460 / 1

LCM(605,852) = 515460


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FAQs on GCF of Fractions of 1837/605, 5437/852

1. What is the HCF of 1837,5437?

The HCF of 1837,5437 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 1837/605, 5437/852?

Answer: GCF of Numerators as per given numbers 1837/605, 5437/852 is

GCF of Numerators i.e. for 1837,5437 is 1

LCM of denominators i.e. for 605,852 is 515460.

Thus, GCF of Fractions is 1/515460.Finally, GCF of Fractions for 1837/605, 5437/852 is 1/515460.