How to Find GCF of 911/500, 9174/716?

GCF of 911/500, 9174/716

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 911/500, 9174/716 i.e 1/89500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/500, 9174/716.

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 911/500,9174/716?

Given fractions are 911/500,9174/716

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 911/500,9174/716, numerators are 911,9174

Denominators are 500,716

The GCF of 911,9174 is 1 .

LCM of 500,716 is 89500.

The greatest common factor of 911/500,9174/716 = [GCF of 911,9174]/[LCM of 500,716]= 1/89500

Therefore, the GCF of 911/500,9174/716 is 1/89500.

Greatest Common Factor of 911,9174

To find the highest common factor of 911,9174, 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 9174 are 1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587, 9174

The HCF of 911,9174 is 1.

Lets's calculate GCF of 911,9174

Greatest Common Factor (GCF) of 911,9174 By Common Division

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

Greatest Common Factor of 911,9174 By Matching Biggest Common Factor Method

Now, list down the factors of 911

1,911

Now, list down the factors of 9174

1,2,3,6,11,22,33,66,139,278,417,834,1529,3058,4587,9174

Greatest Common Factor

We found the factors 911,9174 . The biggest common factor number is the GCF number.
So the greatest common factor 911,9174 is 1.

Lets's calculate LCM of 500,716

Lowest Common Multiple of 500,716 using Common Division

2	500, 716
2	250, 358
	125, 179

∴ So the LCM of the given numbers is 2 x 2 x 125 x 179 = 89500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89500

Therefore, the GCF of Fractions 911/500,9174/716 is 1/89500

Least Common Multiple of 500,716 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 500,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,716) = 4

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

GCF(500,716) x common factors =4 x 1 = 4

LCM(500,716) = ( 500 × 716 ) / 4

LCM(500,716) = 358000 / 4

LCM(500,716) = 89500

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FAQs on GCF of Fractions of 911/500, 9174/716

1. What is the HCF of 911,9174?

The HCF of 911,9174 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 911/500, 9174/716?

Answer: GCF of Numerators as per given numbers 911/500, 9174/716 is

GCF of Numerators i.e. for 911,9174 is 1

LCM of denominators i.e. for 500,716 is 89500.

Thus, GCF of Fractions is 1/89500.Finally, GCF of Fractions for 911/500, 9174/716 is 1/89500.