How to Find GCF of 253/732, 7544/5567?

GCF of 253/732, 7544/5567

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 253/732, 7544/5567 i.e 23/4075044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 253/732, 7544/5567.

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 253/732,7544/5567?

Given fractions are 253/732,7544/5567

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 253/732,7544/5567, numerators are 253,7544

Denominators are 732,5567

The GCF of 253,7544 is 23 .

LCM of 732,5567 is 4075044.

The greatest common factor of 253/732,7544/5567 = [GCF of 253,7544]/[LCM of 732,5567]= 23/4075044

Therefore, the GCF of 253/732,7544/5567 is 23/4075044.

Greatest Common Factor of 253,7544

To find the highest common factor of 253,7544, we have to find the factors of both numbers and list the highest common factor.

The factors of 253 are 1, 11, 23, 253

The factors of 7544 are 1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772, 7544

The HCF of 253,7544 is 23.

Lets's calculate GCF of 253,7544

Greatest Common Factor (GCF) of 253,7544 By Common Division

23	253, 7544
	11, 328

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 253,7544 By Matching Biggest Common Factor Method

Now, list down the factors of 253

1,11,23,253

Now, list down the factors of 7544

1,2,4,8,23,41,46,82,92,164,184,328,943,1886,3772,7544

Greatest Common Factor

We found the factors 253,7544 . The biggest common factor number is the GCF number.
So the greatest common factor 253,7544 is 23.

Lets's calculate LCM of 732,5567

Lowest Common Multiple of 732,5567 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4075044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/4075044

Therefore, the GCF of Fractions 253/732,7544/5567 is 23/4075044

Least Common Multiple of 732,5567 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 732,5567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,5567) = 1

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

GCF(732,5567) x common factors =1 x 1 = 1

LCM(732,5567) = ( 732 × 5567 ) / 1

LCM(732,5567) = 4075044 / 1

LCM(732,5567) = 4075044

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FAQs on GCF of Fractions of 253/732, 7544/5567

1. What is the HCF of 253,7544?

The HCF of 253,7544 is 23

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 253/732, 7544/5567?

Answer: GCF of Numerators as per given numbers 253/732, 7544/5567 is

GCF of Numerators i.e. for 253,7544 is 23

LCM of denominators i.e. for 732,5567 is 4075044.

Thus, GCF of Fractions is 23/4075044.Finally, GCF of Fractions for 253/732, 7544/5567 is 23/4075044.