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GCF of 3506/905, 5347/3980

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 3506/905, 5347/3980 i.e 1/720380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3506/905, 5347/3980.

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 3506/905,5347/3980?

Given fractions are 3506/905,5347/3980

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 3506/905,5347/3980, numerators are 3506,5347

Denominators are 905,3980

The GCF of 3506,5347 is 1 .

LCM of 905,3980 is 720380.

The greatest common factor of 3506/905,5347/3980 = [GCF of 3506,5347]/[LCM of 905,3980]= 1/720380

Therefore, the GCF of 3506/905,5347/3980 is 1/720380.

Greatest Common Factor of 3506,5347

To find the highest common factor of 3506,5347, we have to find the factors of both numbers and list the highest common factor.

The factors of 3506 are 1, 2, 1753, 3506

The factors of 5347 are 1, 5347

The HCF of 3506,5347 is 1.

Lets's calculate GCF of 3506,5347

Greatest Common Factor (GCF) of 3506,5347 By Common Division

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

Greatest Common Factor of 3506,5347 By Matching Biggest Common Factor Method

Greatest Common Factor of 3506,5347 By Matching Biggest Common Factor Method

Now, list down the factors of 3506

:

1,2,1753,3506

Now, list down the factors of 5347

:

1,5347

Greatest Common Factor

We found the factors 3506,5347 . The biggest common factor number is the GCF number.
So the greatest common factor 3506,5347 is 1.

Lets's calculate LCM of 905,3980

Lowest Common Multiple of 905,3980 using Common Division

5 905, 3980
181, 796

∴ So the LCM of the given numbers is 5 x 181 x 796 = 720380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720380

Therefore, the GCF of Fractions 3506/905,5347/3980 is 1/720380

Least Common Multiple of 905,3980 with GCF Formula

Least Common Multiple of 905,3980 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 905,3980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,3980) = 5

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

GCF(905,3980) x common factors =5 x 1 = 5

LCM(905,3980) = ( 905 × 3980 ) / 5

LCM(905,3980) = 3601900 / 5

LCM(905,3980) = 720380


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3506/905, 5347/3980

1. What is the HCF of 3506,5347?

The HCF of 3506,5347 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 3506/905, 5347/3980?

Answer: GCF of Numerators as per given numbers 3506/905, 5347/3980 is

GCF of Numerators i.e. for 3506,5347 is 1

LCM of denominators i.e. for 905,3980 is 720380.

Thus, GCF of Fractions is 1/720380.Finally, GCF of Fractions for 3506/905, 5347/3980 is 1/720380.