How to Find GCF of 2559/298, 3443/6952?

GCF of 2559/298, 3443/6952

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 2559/298, 3443/6952 i.e 1/1035848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2559/298, 3443/6952.

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 2559/298,3443/6952?

Given fractions are 2559/298,3443/6952

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 2559/298,3443/6952, numerators are 2559,3443

Denominators are 298,6952

The GCF of 2559,3443 is 1 .

LCM of 298,6952 is 1035848.

The greatest common factor of 2559/298,3443/6952 = [GCF of 2559,3443]/[LCM of 298,6952]= 1/1035848

Therefore, the GCF of 2559/298,3443/6952 is 1/1035848.

Greatest Common Factor of 2559,3443

To find the highest common factor of 2559,3443, we have to find the factors of both numbers and list the highest common factor.

The factors of 2559 are 1, 3, 853, 2559

The factors of 3443 are 1, 11, 313, 3443

The HCF of 2559,3443 is 1.

Lets's calculate GCF of 2559,3443

Greatest Common Factor (GCF) of 2559,3443 By Common Division

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

Greatest Common Factor of 2559,3443 By Matching Biggest Common Factor Method

Now, list down the factors of 2559

1,3,853,2559

Now, list down the factors of 3443

1,11,313,3443

Greatest Common Factor

We found the factors 2559,3443 . The biggest common factor number is the GCF number.
So the greatest common factor 2559,3443 is 1.

Lets's calculate LCM of 298,6952

Lowest Common Multiple of 298,6952 using Common Division

2	298, 6952
	149, 3476

∴ So the LCM of the given numbers is 2 x 149 x 3476 = 1035848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1035848

Therefore, the GCF of Fractions 2559/298,3443/6952 is 1/1035848

Least Common Multiple of 298,6952 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 298,6952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,6952) = 2

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

GCF(298,6952) x common factors =2 x 1 = 2

LCM(298,6952) = ( 298 × 6952 ) / 2

LCM(298,6952) = 2071696 / 2

LCM(298,6952) = 1035848

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FAQs on GCF of Fractions of 2559/298, 3443/6952

1. What is the HCF of 2559,3443?

The HCF of 2559,3443 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 2559/298, 3443/6952?

Answer: GCF of Numerators as per given numbers 2559/298, 3443/6952 is

GCF of Numerators i.e. for 2559,3443 is 1

LCM of denominators i.e. for 298,6952 is 1035848.

Thus, GCF of Fractions is 1/1035848.Finally, GCF of Fractions for 2559/298, 3443/6952 is 1/1035848.