How to Find GCF of 3212/611, 5501/5696?

GCF of 3212/611, 5501/5696

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 3212/611, 5501/5696 i.e 1/3480256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3212/611, 5501/5696.

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 3212/611,5501/5696?

Given fractions are 3212/611,5501/5696

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 3212/611,5501/5696, numerators are 3212,5501

Denominators are 611,5696

The GCF of 3212,5501 is 1 .

LCM of 611,5696 is 3480256.

The greatest common factor of 3212/611,5501/5696 = [GCF of 3212,5501]/[LCM of 611,5696]= 1/3480256

Therefore, the GCF of 3212/611,5501/5696 is 1/3480256.

Greatest Common Factor of 3212,5501

To find the highest common factor of 3212,5501, we have to find the factors of both numbers and list the highest common factor.

The factors of 3212 are 1, 2, 4, 11, 22, 44, 73, 146, 292, 803, 1606, 3212

The factors of 5501 are 1, 5501

The HCF of 3212,5501 is 1.

Lets's calculate GCF of 3212,5501

Greatest Common Factor (GCF) of 3212,5501 By Common Division

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

Greatest Common Factor of 3212,5501 By Matching Biggest Common Factor Method

Now, list down the factors of 3212

1,2,4,11,22,44,73,146,292,803,1606,3212

Now, list down the factors of 5501

1,5501

Greatest Common Factor

We found the factors 3212,5501 . The biggest common factor number is the GCF number.
So the greatest common factor 3212,5501 is 1.

Lets's calculate LCM of 611,5696

Lowest Common Multiple of 611,5696 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3480256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3480256

Therefore, the GCF of Fractions 3212/611,5501/5696 is 1/3480256

Least Common Multiple of 611,5696 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 611,5696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,5696) = 1

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

GCF(611,5696) x common factors =1 x 1 = 1

LCM(611,5696) = ( 611 × 5696 ) / 1

LCM(611,5696) = 3480256 / 1

LCM(611,5696) = 3480256

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FAQs on GCF of Fractions of 3212/611, 5501/5696

1. What is the HCF of 3212,5501?

The HCF of 3212,5501 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 3212/611, 5501/5696?

Answer: GCF of Numerators as per given numbers 3212/611, 5501/5696 is

GCF of Numerators i.e. for 3212,5501 is 1

LCM of denominators i.e. for 611,5696 is 3480256.

Thus, GCF of Fractions is 1/3480256.Finally, GCF of Fractions for 3212/611, 5501/5696 is 1/3480256.