How to Find GCF of 5349/764, 1559/620?

GCF of 5349/764, 1559/620

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 5349/764, 1559/620 i.e 1/118420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5349/764, 1559/620.

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 5349/764,1559/620?

Given fractions are 5349/764,1559/620

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 5349/764,1559/620, numerators are 5349,1559

Denominators are 764,620

The GCF of 5349,1559 is 1 .

LCM of 764,620 is 118420.

The greatest common factor of 5349/764,1559/620 = [GCF of 5349,1559]/[LCM of 764,620]= 1/118420

Therefore, the GCF of 5349/764,1559/620 is 1/118420.

Greatest Common Factor of 5349,1559

To find the highest common factor of 5349,1559, we have to find the factors of both numbers and list the highest common factor.

The factors of 5349 are 1, 3, 1783, 5349

The factors of 1559 are 1, 1559

The HCF of 5349,1559 is 1.

Lets's calculate GCF of 5349,1559

Greatest Common Factor (GCF) of 5349,1559 By Common Division

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

Greatest Common Factor of 5349,1559 By Matching Biggest Common Factor Method

Now, list down the factors of 5349

1,3,1783,5349

Now, list down the factors of 1559

1,1559

Greatest Common Factor

We found the factors 5349,1559 . The biggest common factor number is the GCF number.
So the greatest common factor 5349,1559 is 1.

Lets's calculate LCM of 764,620

Lowest Common Multiple of 764,620 using Common Division

2	764, 620
2	382, 310
	191, 155

∴ So the LCM of the given numbers is 2 x 2 x 191 x 155 = 118420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118420

Therefore, the GCF of Fractions 5349/764,1559/620 is 1/118420

Least Common Multiple of 764,620 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 764,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,620) = 4

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

GCF(764,620) x common factors =4 x 1 = 4

LCM(764,620) = ( 764 × 620 ) / 4

LCM(764,620) = 473680 / 4

LCM(764,620) = 118420

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FAQs on GCF of Fractions of 5349/764, 1559/620

1. What is the HCF of 5349,1559?

The HCF of 5349,1559 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 5349/764, 1559/620?

Answer: GCF of Numerators as per given numbers 5349/764, 1559/620 is

GCF of Numerators i.e. for 5349,1559 is 1

LCM of denominators i.e. for 764,620 is 118420.

Thus, GCF of Fractions is 1/118420.Finally, GCF of Fractions for 5349/764, 1559/620 is 1/118420.