How to Find GCF of 1321/980, 2557/3397?

GCF of 1321/980, 2557/3397

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 1321/980, 2557/3397 i.e 1/3329060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1321/980, 2557/3397.

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 1321/980,2557/3397?

Given fractions are 1321/980,2557/3397

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 1321/980,2557/3397, numerators are 1321,2557

Denominators are 980,3397

The GCF of 1321,2557 is 1 .

LCM of 980,3397 is 3329060.

The greatest common factor of 1321/980,2557/3397 = [GCF of 1321,2557]/[LCM of 980,3397]= 1/3329060

Therefore, the GCF of 1321/980,2557/3397 is 1/3329060.

Greatest Common Factor of 1321,2557

To find the highest common factor of 1321,2557, we have to find the factors of both numbers and list the highest common factor.

The factors of 1321 are 1, 1321

The factors of 2557 are 1, 2557

The HCF of 1321,2557 is 1.

Lets's calculate GCF of 1321,2557

Greatest Common Factor (GCF) of 1321,2557 By Common Division

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

Greatest Common Factor of 1321,2557 By Matching Biggest Common Factor Method

Now, list down the factors of 1321

1,1321

Now, list down the factors of 2557

1,2557

Greatest Common Factor

We found the factors 1321,2557 . The biggest common factor number is the GCF number.
So the greatest common factor 1321,2557 is 1.

Lets's calculate LCM of 980,3397

Lowest Common Multiple of 980,3397 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3329060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3329060

Therefore, the GCF of Fractions 1321/980,2557/3397 is 1/3329060

Least Common Multiple of 980,3397 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 980,3397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,3397) = 1

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

GCF(980,3397) x common factors =1 x 1 = 1

LCM(980,3397) = ( 980 × 3397 ) / 1

LCM(980,3397) = 3329060 / 1

LCM(980,3397) = 3329060

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FAQs on GCF of Fractions of 1321/980, 2557/3397

1. What is the HCF of 1321,2557?

The HCF of 1321,2557 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 1321/980, 2557/3397?

Answer: GCF of Numerators as per given numbers 1321/980, 2557/3397 is

GCF of Numerators i.e. for 1321,2557 is 1

LCM of denominators i.e. for 980,3397 is 3329060.

Thus, GCF of Fractions is 1/3329060.Finally, GCF of Fractions for 1321/980, 2557/3397 is 1/3329060.