How to Find GCF of 2514/889, 1301/1409?

GCF of 2514/889, 1301/1409

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 2514/889, 1301/1409 i.e 1/1252601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2514/889, 1301/1409.

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 2514/889,1301/1409?

Given fractions are 2514/889,1301/1409

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 2514/889,1301/1409, numerators are 2514,1301

Denominators are 889,1409

The GCF of 2514,1301 is 1 .

LCM of 889,1409 is 1252601.

The greatest common factor of 2514/889,1301/1409 = [GCF of 2514,1301]/[LCM of 889,1409]= 1/1252601

Therefore, the GCF of 2514/889,1301/1409 is 1/1252601.

Greatest Common Factor of 2514,1301

To find the highest common factor of 2514,1301, we have to find the factors of both numbers and list the highest common factor.

The factors of 2514 are 1, 2, 3, 6, 419, 838, 1257, 2514

The factors of 1301 are 1, 1301

The HCF of 2514,1301 is 1.

Lets's calculate GCF of 2514,1301

Greatest Common Factor (GCF) of 2514,1301 By Common Division

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

Greatest Common Factor of 2514,1301 By Matching Biggest Common Factor Method

Now, list down the factors of 2514

1,2,3,6,419,838,1257,2514

Now, list down the factors of 1301

1,1301

Greatest Common Factor

We found the factors 2514,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 2514,1301 is 1.

Lets's calculate LCM of 889,1409

Lowest Common Multiple of 889,1409 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1252601

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1252601

Therefore, the GCF of Fractions 2514/889,1301/1409 is 1/1252601

Least Common Multiple of 889,1409 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 889,1409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,1409) = 1

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

GCF(889,1409) x common factors =1 x 1 = 1

LCM(889,1409) = ( 889 × 1409 ) / 1

LCM(889,1409) = 1252601 / 1

LCM(889,1409) = 1252601

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FAQs on GCF of Fractions of 2514/889, 1301/1409

1. What is the HCF of 2514,1301?

The HCF of 2514,1301 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 2514/889, 1301/1409?

Answer: GCF of Numerators as per given numbers 2514/889, 1301/1409 is

GCF of Numerators i.e. for 2514,1301 is 1

LCM of denominators i.e. for 889,1409 is 1252601.

Thus, GCF of Fractions is 1/1252601.Finally, GCF of Fractions for 2514/889, 1301/1409 is 1/1252601.