How to Find GCF of 911/91, 562/936?

GCF of 911/91, 562/936

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 911/91, 562/936 i.e 1/6552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/91, 562/936.

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 911/91,562/936?

Given fractions are 911/91,562/936

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 911/91,562/936, numerators are 911,562

Denominators are 91,936

The GCF of 911,562 is 1 .

LCM of 91,936 is 6552.

The greatest common factor of 911/91,562/936 = [GCF of 911,562]/[LCM of 91,936]= 1/6552

Therefore, the GCF of 911/91,562/936 is 1/6552.

Greatest Common Factor of 911,562

To find the highest common factor of 911,562, 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 562 are 1, 2, 281, 562

The HCF of 911,562 is 1.

Lets's calculate GCF of 911,562

Greatest Common Factor (GCF) of 911,562 By Common Division

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

Greatest Common Factor of 911,562 By Matching Biggest Common Factor Method

Now, list down the factors of 911

1,911

Now, list down the factors of 562

1,2,281,562

Greatest Common Factor

We found the factors 911,562 . The biggest common factor number is the GCF number.
So the greatest common factor 911,562 is 1.

Lets's calculate LCM of 91,936

Lowest Common Multiple of 91,936 using Common Division

13	91, 936
	7, 72

∴ So the LCM of the given numbers is 13 x 7 x 72 = 6552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6552

Therefore, the GCF of Fractions 911/91,562/936 is 1/6552

Least Common Multiple of 91,936 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 91,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,936) = 13

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

GCF(91,936) x common factors =13 x 1 = 13

LCM(91,936) = ( 91 × 936 ) / 13

LCM(91,936) = 85176 / 13

LCM(91,936) = 6552

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FAQs on GCF of Fractions of 911/91, 562/936

1. What is the HCF of 911,562?

The HCF of 911,562 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 911/91, 562/936?

Answer: GCF of Numerators as per given numbers 911/91, 562/936 is

GCF of Numerators i.e. for 911,562 is 1

LCM of denominators i.e. for 91,936 is 6552.

Thus, GCF of Fractions is 1/6552.Finally, GCF of Fractions for 911/91, 562/936 is 1/6552.