How to Find GCF of 1950/522, 5179/6139?

GCF of 1950/522, 5179/6139

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 1950/522, 5179/6139 i.e 1/3204558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1950/522, 5179/6139.

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 1950/522,5179/6139?

Given fractions are 1950/522,5179/6139

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 1950/522,5179/6139, numerators are 1950,5179

Denominators are 522,6139

The GCF of 1950,5179 is 1 .

LCM of 522,6139 is 3204558.

The greatest common factor of 1950/522,5179/6139 = [GCF of 1950,5179]/[LCM of 522,6139]= 1/3204558

Therefore, the GCF of 1950/522,5179/6139 is 1/3204558.

Greatest Common Factor of 1950,5179

To find the highest common factor of 1950,5179, we have to find the factors of both numbers and list the highest common factor.

The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950

The factors of 5179 are 1, 5179

The HCF of 1950,5179 is 1.

Lets's calculate GCF of 1950,5179

Greatest Common Factor (GCF) of 1950,5179 By Common Division

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

Greatest Common Factor of 1950,5179 By Matching Biggest Common Factor Method

Now, list down the factors of 1950

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950

Now, list down the factors of 5179

1,5179

Greatest Common Factor

We found the factors 1950,5179 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,5179 is 1.

Lets's calculate LCM of 522,6139

Lowest Common Multiple of 522,6139 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3204558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3204558

Therefore, the GCF of Fractions 1950/522,5179/6139 is 1/3204558

Least Common Multiple of 522,6139 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 522,6139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,6139) = 1

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

GCF(522,6139) x common factors =1 x 1 = 1

LCM(522,6139) = ( 522 × 6139 ) / 1

LCM(522,6139) = 3204558 / 1

LCM(522,6139) = 3204558

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FAQs on GCF of Fractions of 1950/522, 5179/6139

1. What is the HCF of 1950,5179?

The HCF of 1950,5179 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 1950/522, 5179/6139?

Answer: GCF of Numerators as per given numbers 1950/522, 5179/6139 is

GCF of Numerators i.e. for 1950,5179 is 1

LCM of denominators i.e. for 522,6139 is 3204558.

Thus, GCF of Fractions is 1/3204558.Finally, GCF of Fractions for 1950/522, 5179/6139 is 1/3204558.