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GCF of 2483/427, 2969/5719

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 2483/427, 2969/5719 i.e 1/348859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2483/427, 2969/5719.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2483/427,2969/5719?

Given fractions are 2483/427,2969/5719

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 2483/427,2969/5719, numerators are 2483,2969

Denominators are 427,5719

The GCF of 2483,2969 is 1 .

LCM of 427,5719 is 348859.

The greatest common factor of 2483/427,2969/5719 = [GCF of 2483,2969]/[LCM of 427,5719]= 1/348859

Therefore, the GCF of 2483/427,2969/5719 is 1/348859.

Greatest Common Factor of 2483,2969

To find the highest common factor of 2483,2969, we have to find the factors of both numbers and list the highest common factor.

The factors of 2483 are 1, 13, 191, 2483

The factors of 2969 are 1, 2969

The HCF of 2483,2969 is 1.

Lets's calculate GCF of 2483,2969

Greatest Common Factor (GCF) of 2483,2969 By Common Division

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

Greatest Common Factor of 2483,2969 By Matching Biggest Common Factor Method

Greatest Common Factor of 2483,2969 By Matching Biggest Common Factor Method

Now, list down the factors of 2483

:

1,13,191,2483

Now, list down the factors of 2969

:

1,2969

Greatest Common Factor

We found the factors 2483,2969 . The biggest common factor number is the GCF number.
So the greatest common factor 2483,2969 is 1.

Lets's calculate LCM of 427,5719

Lowest Common Multiple of 427,5719 using Common Division

7 427, 5719
61, 817

∴ So the LCM of the given numbers is 7 x 61 x 817 = 348859

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348859

Therefore, the GCF of Fractions 2483/427,2969/5719 is 1/348859

Least Common Multiple of 427,5719 with GCF Formula

Least Common Multiple of 427,5719 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 427,5719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,5719) = 7

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

GCF(427,5719) x common factors =7 x 1 = 7

LCM(427,5719) = ( 427 × 5719 ) / 7

LCM(427,5719) = 2442013 / 7

LCM(427,5719) = 348859


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FAQs on GCF of Fractions of 2483/427, 2969/5719

1. What is the HCF of 2483,2969?

The HCF of 2483,2969 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 2483/427, 2969/5719?

Answer: GCF of Numerators as per given numbers 2483/427, 2969/5719 is

GCF of Numerators i.e. for 2483,2969 is 1

LCM of denominators i.e. for 427,5719 is 348859.

Thus, GCF of Fractions is 1/348859.Finally, GCF of Fractions for 2483/427, 2969/5719 is 1/348859.