How to Find GCF of 4359/673, 3079/5481?

GCF of 4359/673, 3079/5481

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 4359/673, 3079/5481 i.e 1/3688713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4359/673, 3079/5481.

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 4359/673,3079/5481?

Given fractions are 4359/673,3079/5481

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 4359/673,3079/5481, numerators are 4359,3079

Denominators are 673,5481

The GCF of 4359,3079 is 1 .

LCM of 673,5481 is 3688713.

The greatest common factor of 4359/673,3079/5481 = [GCF of 4359,3079]/[LCM of 673,5481]= 1/3688713

Therefore, the GCF of 4359/673,3079/5481 is 1/3688713.

Greatest Common Factor of 4359,3079

To find the highest common factor of 4359,3079, we have to find the factors of both numbers and list the highest common factor.

The factors of 4359 are 1, 3, 1453, 4359

The factors of 3079 are 1, 3079

The HCF of 4359,3079 is 1.

Lets's calculate GCF of 4359,3079

Greatest Common Factor (GCF) of 4359,3079 By Common Division

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

Greatest Common Factor of 4359,3079 By Matching Biggest Common Factor Method

Now, list down the factors of 4359

1,3,1453,4359

Now, list down the factors of 3079

1,3079

Greatest Common Factor

We found the factors 4359,3079 . The biggest common factor number is the GCF number.
So the greatest common factor 4359,3079 is 1.

Lets's calculate LCM of 673,5481

Lowest Common Multiple of 673,5481 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3688713

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3688713

Therefore, the GCF of Fractions 4359/673,3079/5481 is 1/3688713

Least Common Multiple of 673,5481 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 673,5481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,5481) = 1

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

GCF(673,5481) x common factors =1 x 1 = 1

LCM(673,5481) = ( 673 × 5481 ) / 1

LCM(673,5481) = 3688713 / 1

LCM(673,5481) = 3688713

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FAQs on GCF of Fractions of 4359/673, 3079/5481

1. What is the HCF of 4359,3079?

The HCF of 4359,3079 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 4359/673, 3079/5481?

Answer: GCF of Numerators as per given numbers 4359/673, 3079/5481 is

GCF of Numerators i.e. for 4359,3079 is 1

LCM of denominators i.e. for 673,5481 is 3688713.

Thus, GCF of Fractions is 1/3688713.Finally, GCF of Fractions for 4359/673, 3079/5481 is 1/3688713.