How to Find GCF of 7925/164, 5249/2055?

GCF of 7925/164, 5249/2055

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 7925/164, 5249/2055 i.e 1/337020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7925/164, 5249/2055.

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 7925/164,5249/2055?

Given fractions are 7925/164,5249/2055

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 7925/164,5249/2055, numerators are 7925,5249

Denominators are 164,2055

The GCF of 7925,5249 is 1 .

LCM of 164,2055 is 337020.

The greatest common factor of 7925/164,5249/2055 = [GCF of 7925,5249]/[LCM of 164,2055]= 1/337020

Therefore, the GCF of 7925/164,5249/2055 is 1/337020.

Greatest Common Factor of 7925,5249

To find the highest common factor of 7925,5249, we have to find the factors of both numbers and list the highest common factor.

The factors of 7925 are 1, 5, 25, 317, 1585, 7925

The factors of 5249 are 1, 29, 181, 5249

The HCF of 7925,5249 is 1.

Lets's calculate GCF of 7925,5249

Greatest Common Factor (GCF) of 7925,5249 By Common Division

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

Greatest Common Factor of 7925,5249 By Matching Biggest Common Factor Method

Now, list down the factors of 7925

1,5,25,317,1585,7925

Now, list down the factors of 5249

1,29,181,5249

Greatest Common Factor

We found the factors 7925,5249 . The biggest common factor number is the GCF number.
So the greatest common factor 7925,5249 is 1.

Lets's calculate LCM of 164,2055

Lowest Common Multiple of 164,2055 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 337020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337020

Therefore, the GCF of Fractions 7925/164,5249/2055 is 1/337020

Least Common Multiple of 164,2055 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 164,2055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,2055) = 1

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

GCF(164,2055) x common factors =1 x 1 = 1

LCM(164,2055) = ( 164 × 2055 ) / 1

LCM(164,2055) = 337020 / 1

LCM(164,2055) = 337020

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FAQs on GCF of Fractions of 7925/164, 5249/2055

1. What is the HCF of 7925,5249?

The HCF of 7925,5249 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 7925/164, 5249/2055?

Answer: GCF of Numerators as per given numbers 7925/164, 5249/2055 is

GCF of Numerators i.e. for 7925,5249 is 1

LCM of denominators i.e. for 164,2055 is 337020.

Thus, GCF of Fractions is 1/337020.Finally, GCF of Fractions for 7925/164, 5249/2055 is 1/337020.