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GCF of 174/937, 3853/269

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 174/937, 3853/269 i.e 1/252053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 174/937, 3853/269.

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 174/937,3853/269?

Given fractions are 174/937,3853/269

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 174/937,3853/269, numerators are 174,3853

Denominators are 937,269

The GCF of 174,3853 is 1 .

LCM of 937,269 is 252053.

The greatest common factor of 174/937,3853/269 = [GCF of 174,3853]/[LCM of 937,269]= 1/252053

Therefore, the GCF of 174/937,3853/269 is 1/252053.

Greatest Common Factor of 174,3853

To find the highest common factor of 174,3853, we have to find the factors of both numbers and list the highest common factor.

The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174

The factors of 3853 are 1, 3853

The HCF of 174,3853 is 1.

Lets's calculate GCF of 174,3853

Greatest Common Factor (GCF) of 174,3853 By Common Division

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

Greatest Common Factor of 174,3853 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,3853 By Matching Biggest Common Factor Method

Now, list down the factors of 174

:

1,2,3,6,29,58,87,174

Now, list down the factors of 3853

:

1,3853

Greatest Common Factor

We found the factors 174,3853 . The biggest common factor number is the GCF number.
So the greatest common factor 174,3853 is 1.

Lets's calculate LCM of 937,269

Lowest Common Multiple of 937,269 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 252053

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252053

Therefore, the GCF of Fractions 174/937,3853/269 is 1/252053

Least Common Multiple of 937,269 with GCF Formula

Least Common Multiple of 937,269 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 937,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,269) = 1

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

GCF(937,269) x common factors =1 x 1 = 1

LCM(937,269) = ( 937 × 269 ) / 1

LCM(937,269) = 252053 / 1

LCM(937,269) = 252053


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FAQs on GCF of Fractions of 174/937, 3853/269

1. What is the HCF of 174,3853?

The HCF of 174,3853 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 174/937, 3853/269?

Answer: GCF of Numerators as per given numbers 174/937, 3853/269 is

GCF of Numerators i.e. for 174,3853 is 1

LCM of denominators i.e. for 937,269 is 252053.

Thus, GCF of Fractions is 1/252053.Finally, GCF of Fractions for 174/937, 3853/269 is 1/252053.