How to Find GCF of 5950/827, 5531/3901?

GCF of 5950/827, 5531/3901

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 5950/827, 5531/3901 i.e 1/3226127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5950/827, 5531/3901.

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 5950/827,5531/3901?

Given fractions are 5950/827,5531/3901

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 5950/827,5531/3901, numerators are 5950,5531

Denominators are 827,3901

The GCF of 5950,5531 is 1 .

LCM of 827,3901 is 3226127.

The greatest common factor of 5950/827,5531/3901 = [GCF of 5950,5531]/[LCM of 827,3901]= 1/3226127

Therefore, the GCF of 5950/827,5531/3901 is 1/3226127.

Greatest Common Factor of 5950,5531

To find the highest common factor of 5950,5531, we have to find the factors of both numbers and list the highest common factor.

The factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950

The factors of 5531 are 1, 5531

The HCF of 5950,5531 is 1.

Lets's calculate GCF of 5950,5531

Greatest Common Factor (GCF) of 5950,5531 By Common Division

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

Greatest Common Factor of 5950,5531 By Matching Biggest Common Factor Method

Now, list down the factors of 5950

1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950

Now, list down the factors of 5531

1,5531

Greatest Common Factor

We found the factors 5950,5531 . The biggest common factor number is the GCF number.
So the greatest common factor 5950,5531 is 1.

Lets's calculate LCM of 827,3901

Lowest Common Multiple of 827,3901 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3226127

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3226127

Therefore, the GCF of Fractions 5950/827,5531/3901 is 1/3226127

Least Common Multiple of 827,3901 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 827,3901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,3901) = 1

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

GCF(827,3901) x common factors =1 x 1 = 1

LCM(827,3901) = ( 827 × 3901 ) / 1

LCM(827,3901) = 3226127 / 1

LCM(827,3901) = 3226127

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5950/827, 5531/3901

1. What is the HCF of 5950,5531?

The HCF of 5950,5531 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 5950/827, 5531/3901?

Answer: GCF of Numerators as per given numbers 5950/827, 5531/3901 is

GCF of Numerators i.e. for 5950,5531 is 1

LCM of denominators i.e. for 827,3901 is 3226127.

Thus, GCF of Fractions is 1/3226127.Finally, GCF of Fractions for 5950/827, 5531/3901 is 1/3226127.