How to Find GCF of 593/51, 878/65, 269/22?

GCF of 593/51, 878/65, 269/22

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 593/51, 878/65, 269/22 i.e 1/72930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 593/51, 878/65, 269/22.

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 593/51,878/65,269/22?

Given fractions are 593/51,878/65,269/22

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 593/51,878/65,269/22, numerators are 593,878,269

Denominators are 51,65,22

The GCF of 593,878,269 is 1 .

LCM of 51,65,22 is 72930.

The greatest common factor of 593/51,878/65,269/22 = [GCF of 593,878,269]/[LCM of 51,65,22]= 1/72930

Therefore, the GCF of 593/51,878/65,269/22 is 1/72930.

Greatest Common Factor of 593,878,269

To find the highest common factor of 593,878,269, we have to find the factors of both numbers and list the highest common factor.

The factors of 593 are 1, 593

The factors of 878 are 1, 2, 439, 878

The factors of 269 are 1, 269

The HCF of 593,878,269 is 1.

Lets's calculate GCF of 593,878,269

Greatest Common Factor (GCF) of 593,878,269 By Common Division

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

Greatest Common Factor of 593,878,269 By Matching Biggest Common Factor Method

Now, list down the factors of 593

1,593

Now, list down the factors of 878

1,2,439,878

Now, list down the factors of 269

1,269

Greatest Common Factor

We found the factors 593,878,269 . The biggest common factor number is the GCF number.
So the greatest common factor 593,878,269 is 1.

Lets's calculate LCM of 51,65,22

Lowest Common Multiple of 51,65,22 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 72930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72930

Therefore, the GCF of Fractions 593/51,878/65,269/22 is 1/72930

Least Common Multiple of 51,65,22 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 51,65,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,65,22) = 1

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

GCF(51,65,22) x common factors =1 x 1 = 1

LCM(51,65,22) = ( 51 × 65 × 22 ) / 1

LCM(51,65,22) = 72930 / 1

LCM(51,65,22) = 72930

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FAQs on GCF of Fractions of 593/51, 878/65, 269/22

1. What is the HCF of 593,878,269?

The HCF of 593,878,269 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 593/51, 878/65, 269/22?

Answer: GCF of Numerators as per given numbers 593/51, 878/65, 269/22 is

GCF of Numerators i.e. for 593,878,269 is 1

LCM of denominators i.e. for 51,65,22 is 72930.

Thus, GCF of Fractions is 1/72930.Finally, GCF of Fractions for 593/51, 878/65, 269/22 is 1/72930.