How to Find GCF of 1342/699, 5897/7425?

GCF of 1342/699, 5897/7425

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 1342/699, 5897/7425 i.e 1/1730025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1342/699, 5897/7425.

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 1342/699,5897/7425?

Given fractions are 1342/699,5897/7425

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 1342/699,5897/7425, numerators are 1342,5897

Denominators are 699,7425

The GCF of 1342,5897 is 1 .

LCM of 699,7425 is 1730025.

The greatest common factor of 1342/699,5897/7425 = [GCF of 1342,5897]/[LCM of 699,7425]= 1/1730025

Therefore, the GCF of 1342/699,5897/7425 is 1/1730025.

Greatest Common Factor of 1342,5897

To find the highest common factor of 1342,5897, we have to find the factors of both numbers and list the highest common factor.

The factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342

The factors of 5897 are 1, 5897

The HCF of 1342,5897 is 1.

Lets's calculate GCF of 1342,5897

Greatest Common Factor (GCF) of 1342,5897 By Common Division

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

Greatest Common Factor of 1342,5897 By Matching Biggest Common Factor Method

Now, list down the factors of 1342

1,2,11,22,61,122,671,1342

Now, list down the factors of 5897

1,5897

Greatest Common Factor

We found the factors 1342,5897 . The biggest common factor number is the GCF number.
So the greatest common factor 1342,5897 is 1.

Lets's calculate LCM of 699,7425

Lowest Common Multiple of 699,7425 using Common Division

3	699, 7425
	233, 2475

∴ So the LCM of the given numbers is 3 x 233 x 2475 = 1730025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1730025

Therefore, the GCF of Fractions 1342/699,5897/7425 is 1/1730025

Least Common Multiple of 699,7425 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 699,7425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,7425) = 3

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

GCF(699,7425) x common factors =3 x 1 = 3

LCM(699,7425) = ( 699 × 7425 ) / 3

LCM(699,7425) = 5190075 / 3

LCM(699,7425) = 1730025

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FAQs on GCF of Fractions of 1342/699, 5897/7425

1. What is the HCF of 1342,5897?

The HCF of 1342,5897 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 1342/699, 5897/7425?

Answer: GCF of Numerators as per given numbers 1342/699, 5897/7425 is

GCF of Numerators i.e. for 1342,5897 is 1

LCM of denominators i.e. for 699,7425 is 1730025.

Thus, GCF of Fractions is 1/1730025.Finally, GCF of Fractions for 1342/699, 5897/7425 is 1/1730025.