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GCF of 3235/391, 5471/5059

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 3235/391, 5471/5059 i.e 1/1978069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3235/391, 5471/5059.

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 3235/391,5471/5059?

Given fractions are 3235/391,5471/5059

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 3235/391,5471/5059, numerators are 3235,5471

Denominators are 391,5059

The GCF of 3235,5471 is 1 .

LCM of 391,5059 is 1978069.

The greatest common factor of 3235/391,5471/5059 = [GCF of 3235,5471]/[LCM of 391,5059]= 1/1978069

Therefore, the GCF of 3235/391,5471/5059 is 1/1978069.

Greatest Common Factor of 3235,5471

To find the highest common factor of 3235,5471, we have to find the factors of both numbers and list the highest common factor.

The factors of 3235 are 1, 5, 647, 3235

The factors of 5471 are 1, 5471

The HCF of 3235,5471 is 1.

Lets's calculate GCF of 3235,5471

Greatest Common Factor (GCF) of 3235,5471 By Common Division

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

Greatest Common Factor of 3235,5471 By Matching Biggest Common Factor Method

Greatest Common Factor of 3235,5471 By Matching Biggest Common Factor Method

Now, list down the factors of 3235

:

1,5,647,3235

Now, list down the factors of 5471

:

1,5471

Greatest Common Factor

We found the factors 3235,5471 . The biggest common factor number is the GCF number.
So the greatest common factor 3235,5471 is 1.

Lets's calculate LCM of 391,5059

Lowest Common Multiple of 391,5059 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1978069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1978069

Therefore, the GCF of Fractions 3235/391,5471/5059 is 1/1978069

Least Common Multiple of 391,5059 with GCF Formula

Least Common Multiple of 391,5059 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 391,5059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,5059) = 1

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

GCF(391,5059) x common factors =1 x 1 = 1

LCM(391,5059) = ( 391 × 5059 ) / 1

LCM(391,5059) = 1978069 / 1

LCM(391,5059) = 1978069


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FAQs on GCF of Fractions of 3235/391, 5471/5059

1. What is the HCF of 3235,5471?

The HCF of 3235,5471 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 3235/391, 5471/5059?

Answer: GCF of Numerators as per given numbers 3235/391, 5471/5059 is

GCF of Numerators i.e. for 3235,5471 is 1

LCM of denominators i.e. for 391,5059 is 1978069.

Thus, GCF of Fractions is 1/1978069.Finally, GCF of Fractions for 3235/391, 5471/5059 is 1/1978069.