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GCF of 3433/866, 3578/696

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 3433/866, 3578/696 i.e 1/301368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3433/866, 3578/696.

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 3433/866,3578/696?

Given fractions are 3433/866,3578/696

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 3433/866,3578/696, numerators are 3433,3578

Denominators are 866,696

The GCF of 3433,3578 is 1 .

LCM of 866,696 is 301368.

The greatest common factor of 3433/866,3578/696 = [GCF of 3433,3578]/[LCM of 866,696]= 1/301368

Therefore, the GCF of 3433/866,3578/696 is 1/301368.

Greatest Common Factor of 3433,3578

To find the highest common factor of 3433,3578, we have to find the factors of both numbers and list the highest common factor.

The factors of 3433 are 1, 3433

The factors of 3578 are 1, 2, 1789, 3578

The HCF of 3433,3578 is 1.

Lets's calculate GCF of 3433,3578

Greatest Common Factor (GCF) of 3433,3578 By Common Division

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

Greatest Common Factor of 3433,3578 By Matching Biggest Common Factor Method

Greatest Common Factor of 3433,3578 By Matching Biggest Common Factor Method

Now, list down the factors of 3433

:

1,3433

Now, list down the factors of 3578

:

1,2,1789,3578

Greatest Common Factor

We found the factors 3433,3578 . The biggest common factor number is the GCF number.
So the greatest common factor 3433,3578 is 1.

Lets's calculate LCM of 866,696

Lowest Common Multiple of 866,696 using Common Division

2 866, 696
433, 348

∴ So the LCM of the given numbers is 2 x 433 x 348 = 301368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301368

Therefore, the GCF of Fractions 3433/866,3578/696 is 1/301368

Least Common Multiple of 866,696 with GCF Formula

Least Common Multiple of 866,696 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 866,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,696) = 2

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

GCF(866,696) x common factors =2 x 1 = 2

LCM(866,696) = ( 866 × 696 ) / 2

LCM(866,696) = 602736 / 2

LCM(866,696) = 301368


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FAQs on GCF of Fractions of 3433/866, 3578/696

1. What is the HCF of 3433,3578?

The HCF of 3433,3578 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 3433/866, 3578/696?

Answer: GCF of Numerators as per given numbers 3433/866, 3578/696 is

GCF of Numerators i.e. for 3433,3578 is 1

LCM of denominators i.e. for 866,696 is 301368.

Thus, GCF of Fractions is 1/301368.Finally, GCF of Fractions for 3433/866, 3578/696 is 1/301368.