How to Find GCF of 7253/611, 2661/5711?

GCF of 7253/611, 2661/5711

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 7253/611, 2661/5711 i.e 1/3489421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7253/611, 2661/5711.

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 7253/611,2661/5711?

Given fractions are 7253/611,2661/5711

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 7253/611,2661/5711, numerators are 7253,2661

Denominators are 611,5711

The GCF of 7253,2661 is 1 .

LCM of 611,5711 is 3489421.

The greatest common factor of 7253/611,2661/5711 = [GCF of 7253,2661]/[LCM of 611,5711]= 1/3489421

Therefore, the GCF of 7253/611,2661/5711 is 1/3489421.

Greatest Common Factor of 7253,2661

To find the highest common factor of 7253,2661, we have to find the factors of both numbers and list the highest common factor.

The factors of 7253 are 1, 7253

The factors of 2661 are 1, 3, 887, 2661

The HCF of 7253,2661 is 1.

Lets's calculate GCF of 7253,2661

Greatest Common Factor (GCF) of 7253,2661 By Common Division

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

Greatest Common Factor of 7253,2661 By Matching Biggest Common Factor Method

Now, list down the factors of 7253

1,7253

Now, list down the factors of 2661

1,3,887,2661

Greatest Common Factor

We found the factors 7253,2661 . The biggest common factor number is the GCF number.
So the greatest common factor 7253,2661 is 1.

Lets's calculate LCM of 611,5711

Lowest Common Multiple of 611,5711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3489421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3489421

Therefore, the GCF of Fractions 7253/611,2661/5711 is 1/3489421

Least Common Multiple of 611,5711 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 611,5711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,5711) = 1

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

GCF(611,5711) x common factors =1 x 1 = 1

LCM(611,5711) = ( 611 × 5711 ) / 1

LCM(611,5711) = 3489421 / 1

LCM(611,5711) = 3489421

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FAQs on GCF of Fractions of 7253/611, 2661/5711

1. What is the HCF of 7253,2661?

The HCF of 7253,2661 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 7253/611, 2661/5711?

Answer: GCF of Numerators as per given numbers 7253/611, 2661/5711 is

GCF of Numerators i.e. for 7253,2661 is 1

LCM of denominators i.e. for 611,5711 is 3489421.

Thus, GCF of Fractions is 1/3489421.Finally, GCF of Fractions for 7253/611, 2661/5711 is 1/3489421.