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GCF of 5834/391, 5966/674

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 5834/391, 5966/674 i.e 2/263534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5834/391, 5966/674.

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 5834/391,5966/674?

Given fractions are 5834/391,5966/674

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 5834/391,5966/674, numerators are 5834,5966

Denominators are 391,674

The GCF of 5834,5966 is 2 .

LCM of 391,674 is 263534.

The greatest common factor of 5834/391,5966/674 = [GCF of 5834,5966]/[LCM of 391,674]= 2/263534

Therefore, the GCF of 5834/391,5966/674 is 2/263534.

Greatest Common Factor of 5834,5966

To find the highest common factor of 5834,5966, we have to find the factors of both numbers and list the highest common factor.

The factors of 5834 are 1, 2, 2917, 5834

The factors of 5966 are 1, 2, 19, 38, 157, 314, 2983, 5966

The HCF of 5834,5966 is 2.

Lets's calculate GCF of 5834,5966

Greatest Common Factor (GCF) of 5834,5966 By Common Division

2 5834, 5966
2917, 2983

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5834,5966 By Matching Biggest Common Factor Method

Greatest Common Factor of 5834,5966 By Matching Biggest Common Factor Method

Now, list down the factors of 5834

:

1,2,2917,5834

Now, list down the factors of 5966

:

1,2,19,38,157,314,2983,5966

Greatest Common Factor

We found the factors 5834,5966 . The biggest common factor number is the GCF number.
So the greatest common factor 5834,5966 is 2.

Lets's calculate LCM of 391,674

Lowest Common Multiple of 391,674 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 263534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/263534

Therefore, the GCF of Fractions 5834/391,5966/674 is 2/263534

Least Common Multiple of 391,674 with GCF Formula

Least Common Multiple of 391,674 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 391,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,674) = 1

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

GCF(391,674) x common factors =1 x 1 = 1

LCM(391,674) = ( 391 × 674 ) / 1

LCM(391,674) = 263534 / 1

LCM(391,674) = 263534


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FAQs on GCF of Fractions of 5834/391, 5966/674

1. What is the HCF of 5834,5966?

The HCF of 5834,5966 is 2

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 5834/391, 5966/674?

Answer: GCF of Numerators as per given numbers 5834/391, 5966/674 is

GCF of Numerators i.e. for 5834,5966 is 2

LCM of denominators i.e. for 391,674 is 263534.

Thus, GCF of Fractions is 2/263534.Finally, GCF of Fractions for 5834/391, 5966/674 is 2/263534.