How to Find GCF of 6573/652, 7202/2536?

GCF of 6573/652, 7202/2536

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 6573/652, 7202/2536 i.e 1/413368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6573/652, 7202/2536.

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 6573/652,7202/2536?

Given fractions are 6573/652,7202/2536

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 6573/652,7202/2536, numerators are 6573,7202

Denominators are 652,2536

The GCF of 6573,7202 is 1 .

LCM of 652,2536 is 413368.

The greatest common factor of 6573/652,7202/2536 = [GCF of 6573,7202]/[LCM of 652,2536]= 1/413368

Therefore, the GCF of 6573/652,7202/2536 is 1/413368.

Greatest Common Factor of 6573,7202

To find the highest common factor of 6573,7202, we have to find the factors of both numbers and list the highest common factor.

The factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573

The factors of 7202 are 1, 2, 13, 26, 277, 554, 3601, 7202

The HCF of 6573,7202 is 1.

Lets's calculate GCF of 6573,7202

Greatest Common Factor (GCF) of 6573,7202 By Common Division

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

Greatest Common Factor of 6573,7202 By Matching Biggest Common Factor Method

Now, list down the factors of 6573

1,3,7,21,313,939,2191,6573

Now, list down the factors of 7202

1,2,13,26,277,554,3601,7202

Greatest Common Factor

We found the factors 6573,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 6573,7202 is 1.

Lets's calculate LCM of 652,2536

Lowest Common Multiple of 652,2536 using Common Division

2	652, 2536
2	326, 1268
	163, 634

∴ So the LCM of the given numbers is 2 x 2 x 163 x 634 = 413368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413368

Therefore, the GCF of Fractions 6573/652,7202/2536 is 1/413368

Least Common Multiple of 652,2536 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 652,2536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,2536) = 4

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

GCF(652,2536) x common factors =4 x 1 = 4

LCM(652,2536) = ( 652 × 2536 ) / 4

LCM(652,2536) = 1653472 / 4

LCM(652,2536) = 413368

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FAQs on GCF of Fractions of 6573/652, 7202/2536

1. What is the HCF of 6573,7202?

The HCF of 6573,7202 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 6573/652, 7202/2536?

Answer: GCF of Numerators as per given numbers 6573/652, 7202/2536 is

GCF of Numerators i.e. for 6573,7202 is 1

LCM of denominators i.e. for 652,2536 is 413368.

Thus, GCF of Fractions is 1/413368.Finally, GCF of Fractions for 6573/652, 7202/2536 is 1/413368.