How to Find GCF of 2779/104, 1562/3333?

GCF of 2779/104, 1562/3333

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 2779/104, 1562/3333 i.e 1/346632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2779/104, 1562/3333.

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 2779/104,1562/3333?

Given fractions are 2779/104,1562/3333

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 2779/104,1562/3333, numerators are 2779,1562

Denominators are 104,3333

The GCF of 2779,1562 is 1 .

LCM of 104,3333 is 346632.

The greatest common factor of 2779/104,1562/3333 = [GCF of 2779,1562]/[LCM of 104,3333]= 1/346632

Therefore, the GCF of 2779/104,1562/3333 is 1/346632.

Greatest Common Factor of 2779,1562

To find the highest common factor of 2779,1562, we have to find the factors of both numbers and list the highest common factor.

The factors of 2779 are 1, 7, 397, 2779

The factors of 1562 are 1, 2, 11, 22, 71, 142, 781, 1562

The HCF of 2779,1562 is 1.

Lets's calculate GCF of 2779,1562

Greatest Common Factor (GCF) of 2779,1562 By Common Division

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

Greatest Common Factor of 2779,1562 By Matching Biggest Common Factor Method

Now, list down the factors of 2779

1,7,397,2779

Now, list down the factors of 1562

1,2,11,22,71,142,781,1562

Greatest Common Factor

We found the factors 2779,1562 . The biggest common factor number is the GCF number.
So the greatest common factor 2779,1562 is 1.

Lets's calculate LCM of 104,3333

Lowest Common Multiple of 104,3333 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 346632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346632

Therefore, the GCF of Fractions 2779/104,1562/3333 is 1/346632

Least Common Multiple of 104,3333 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 104,3333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,3333) = 1

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

GCF(104,3333) x common factors =1 x 1 = 1

LCM(104,3333) = ( 104 × 3333 ) / 1

LCM(104,3333) = 346632 / 1

LCM(104,3333) = 346632

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FAQs on GCF of Fractions of 2779/104, 1562/3333

1. What is the HCF of 2779,1562?

The HCF of 2779,1562 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 2779/104, 1562/3333?

Answer: GCF of Numerators as per given numbers 2779/104, 1562/3333 is

GCF of Numerators i.e. for 2779,1562 is 1

LCM of denominators i.e. for 104,3333 is 346632.

Thus, GCF of Fractions is 1/346632.Finally, GCF of Fractions for 2779/104, 1562/3333 is 1/346632.