How to Find GCF of 3419/522, 7001/580?

GCF of 3419/522, 7001/580

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 3419/522, 7001/580 i.e 1/5220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3419/522, 7001/580.

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 3419/522,7001/580?

Given fractions are 3419/522,7001/580

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 3419/522,7001/580, numerators are 3419,7001

Denominators are 522,580

The GCF of 3419,7001 is 1 .

LCM of 522,580 is 5220.

The greatest common factor of 3419/522,7001/580 = [GCF of 3419,7001]/[LCM of 522,580]= 1/5220

Therefore, the GCF of 3419/522,7001/580 is 1/5220.

Greatest Common Factor of 3419,7001

To find the highest common factor of 3419,7001, we have to find the factors of both numbers and list the highest common factor.

The factors of 3419 are 1, 13, 263, 3419

The factors of 7001 are 1, 7001

The HCF of 3419,7001 is 1.

Lets's calculate GCF of 3419,7001

Greatest Common Factor (GCF) of 3419,7001 By Common Division

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

Greatest Common Factor of 3419,7001 By Matching Biggest Common Factor Method

Now, list down the factors of 3419

1,13,263,3419

Now, list down the factors of 7001

1,7001

Greatest Common Factor

We found the factors 3419,7001 . The biggest common factor number is the GCF number.
So the greatest common factor 3419,7001 is 1.

Lets's calculate LCM of 522,580

Lowest Common Multiple of 522,580 using Common Division

2	522, 580
29	261, 290
	9, 10

∴ So the LCM of the given numbers is 2 x 29 x 9 x 10 = 5220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5220

Therefore, the GCF of Fractions 3419/522,7001/580 is 1/5220

Least Common Multiple of 522,580 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 522,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,580) = 58

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

GCF(522,580) x common factors =58 x 1 = 58

LCM(522,580) = ( 522 × 580 ) / 58

LCM(522,580) = 302760 / 58

LCM(522,580) = 5220

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FAQs on GCF of Fractions of 3419/522, 7001/580

1. What is the HCF of 3419,7001?

The HCF of 3419,7001 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 3419/522, 7001/580?

Answer: GCF of Numerators as per given numbers 3419/522, 7001/580 is

GCF of Numerators i.e. for 3419,7001 is 1

LCM of denominators i.e. for 522,580 is 5220.

Thus, GCF of Fractions is 1/5220.Finally, GCF of Fractions for 3419/522, 7001/580 is 1/5220.