How to Find GCF of 717/268, 1033/3312?

GCF of 717/268, 1033/3312

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 717/268, 1033/3312 i.e 1/221904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 717/268, 1033/3312.

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 717/268,1033/3312?

Given fractions are 717/268,1033/3312

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 717/268,1033/3312, numerators are 717,1033

Denominators are 268,3312

The GCF of 717,1033 is 1 .

LCM of 268,3312 is 221904.

The greatest common factor of 717/268,1033/3312 = [GCF of 717,1033]/[LCM of 268,3312]= 1/221904

Therefore, the GCF of 717/268,1033/3312 is 1/221904.

Greatest Common Factor of 717,1033

To find the highest common factor of 717,1033, we have to find the factors of both numbers and list the highest common factor.

The factors of 717 are 1, 3, 239, 717

The factors of 1033 are 1, 1033

The HCF of 717,1033 is 1.

Lets's calculate GCF of 717,1033

Greatest Common Factor (GCF) of 717,1033 By Common Division

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

Greatest Common Factor of 717,1033 By Matching Biggest Common Factor Method

Now, list down the factors of 717

1,3,239,717

Now, list down the factors of 1033

1,1033

Greatest Common Factor

We found the factors 717,1033 . The biggest common factor number is the GCF number.
So the greatest common factor 717,1033 is 1.

Lets's calculate LCM of 268,3312

Lowest Common Multiple of 268,3312 using Common Division

2	268, 3312
2	134, 1656
	67, 828

∴ So the LCM of the given numbers is 2 x 2 x 67 x 828 = 221904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221904

Therefore, the GCF of Fractions 717/268,1033/3312 is 1/221904

Least Common Multiple of 268,3312 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 268,3312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,3312) = 4

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

GCF(268,3312) x common factors =4 x 1 = 4

LCM(268,3312) = ( 268 × 3312 ) / 4

LCM(268,3312) = 887616 / 4

LCM(268,3312) = 221904

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FAQs on GCF of Fractions of 717/268, 1033/3312

1. What is the HCF of 717,1033?

The HCF of 717,1033 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 717/268, 1033/3312?

Answer: GCF of Numerators as per given numbers 717/268, 1033/3312 is

GCF of Numerators i.e. for 717,1033 is 1

LCM of denominators i.e. for 268,3312 is 221904.

Thus, GCF of Fractions is 1/221904.Finally, GCF of Fractions for 717/268, 1033/3312 is 1/221904.