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GCF of 911/674, 5929/596

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 911/674, 5929/596 i.e 1/200852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/674, 5929/596.

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 911/674,5929/596?

Given fractions are 911/674,5929/596

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 911/674,5929/596, numerators are 911,5929

Denominators are 674,596

The GCF of 911,5929 is 1 .

LCM of 674,596 is 200852.

The greatest common factor of 911/674,5929/596 = [GCF of 911,5929]/[LCM of 674,596]= 1/200852

Therefore, the GCF of 911/674,5929/596 is 1/200852.

Greatest Common Factor of 911,5929

To find the highest common factor of 911,5929, we have to find the factors of both numbers and list the highest common factor.

The factors of 911 are 1, 911

The factors of 5929 are 1, 7, 11, 49, 77, 121, 539, 847, 5929

The HCF of 911,5929 is 1.

Lets's calculate GCF of 911,5929

Greatest Common Factor (GCF) of 911,5929 By Common Division

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

Greatest Common Factor of 911,5929 By Matching Biggest Common Factor Method

Greatest Common Factor of 911,5929 By Matching Biggest Common Factor Method

Now, list down the factors of 911

:

1,911

Now, list down the factors of 5929

:

1,7,11,49,77,121,539,847,5929

Greatest Common Factor

We found the factors 911,5929 . The biggest common factor number is the GCF number.
So the greatest common factor 911,5929 is 1.

Lets's calculate LCM of 674,596

Lowest Common Multiple of 674,596 using Common Division

2 674, 596
337, 298

∴ So the LCM of the given numbers is 2 x 337 x 298 = 200852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200852

Therefore, the GCF of Fractions 911/674,5929/596 is 1/200852

Least Common Multiple of 674,596 with GCF Formula

Least Common Multiple of 674,596 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 674,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,596) = 2

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

GCF(674,596) x common factors =2 x 1 = 2

LCM(674,596) = ( 674 × 596 ) / 2

LCM(674,596) = 401704 / 2

LCM(674,596) = 200852


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FAQs on GCF of Fractions of 911/674, 5929/596

1. What is the HCF of 911,5929?

The HCF of 911,5929 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 911/674, 5929/596?

Answer: GCF of Numerators as per given numbers 911/674, 5929/596 is

GCF of Numerators i.e. for 911,5929 is 1

LCM of denominators i.e. for 674,596 is 200852.

Thus, GCF of Fractions is 1/200852.Finally, GCF of Fractions for 911/674, 5929/596 is 1/200852.