How to Find GCF of 5711/770, 1718/290?

GCF of 5711/770, 1718/290

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 5711/770, 1718/290 i.e 1/22330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5711/770, 1718/290.

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 5711/770,1718/290?

Given fractions are 5711/770,1718/290

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 5711/770,1718/290, numerators are 5711,1718

Denominators are 770,290

The GCF of 5711,1718 is 1 .

LCM of 770,290 is 22330.

The greatest common factor of 5711/770,1718/290 = [GCF of 5711,1718]/[LCM of 770,290]= 1/22330

Therefore, the GCF of 5711/770,1718/290 is 1/22330.

Greatest Common Factor of 5711,1718

To find the highest common factor of 5711,1718, we have to find the factors of both numbers and list the highest common factor.

The factors of 5711 are 1, 5711

The factors of 1718 are 1, 2, 859, 1718

The HCF of 5711,1718 is 1.

Lets's calculate GCF of 5711,1718

Greatest Common Factor (GCF) of 5711,1718 By Common Division

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

Greatest Common Factor of 5711,1718 By Matching Biggest Common Factor Method

Now, list down the factors of 5711

1,5711

Now, list down the factors of 1718

1,2,859,1718

Greatest Common Factor

We found the factors 5711,1718 . The biggest common factor number is the GCF number.
So the greatest common factor 5711,1718 is 1.

Lets's calculate LCM of 770,290

Lowest Common Multiple of 770,290 using Common Division

2	770, 290
5	385, 145
	77, 29

∴ So the LCM of the given numbers is 2 x 5 x 77 x 29 = 22330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22330

Therefore, the GCF of Fractions 5711/770,1718/290 is 1/22330

Least Common Multiple of 770,290 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 770,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,290) = 10

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

GCF(770,290) x common factors =10 x 1 = 10

LCM(770,290) = ( 770 × 290 ) / 10

LCM(770,290) = 223300 / 10

LCM(770,290) = 22330

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FAQs on GCF of Fractions of 5711/770, 1718/290

1. What is the HCF of 5711,1718?

The HCF of 5711,1718 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 5711/770, 1718/290?

Answer: GCF of Numerators as per given numbers 5711/770, 1718/290 is

GCF of Numerators i.e. for 5711,1718 is 1

LCM of denominators i.e. for 770,290 is 22330.

Thus, GCF of Fractions is 1/22330.Finally, GCF of Fractions for 5711/770, 1718/290 is 1/22330.