How to Find GCF of 7207/636, 2432/2216?

GCF of 7207/636, 2432/2216

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 7207/636, 2432/2216 i.e 1/352344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7207/636, 2432/2216.

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 7207/636,2432/2216?

Given fractions are 7207/636,2432/2216

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 7207/636,2432/2216, numerators are 7207,2432

Denominators are 636,2216

The GCF of 7207,2432 is 1 .

LCM of 636,2216 is 352344.

The greatest common factor of 7207/636,2432/2216 = [GCF of 7207,2432]/[LCM of 636,2216]= 1/352344

Therefore, the GCF of 7207/636,2432/2216 is 1/352344.

Greatest Common Factor of 7207,2432

To find the highest common factor of 7207,2432, we have to find the factors of both numbers and list the highest common factor.

The factors of 7207 are 1, 7207

The factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432

The HCF of 7207,2432 is 1.

Lets's calculate GCF of 7207,2432

Greatest Common Factor (GCF) of 7207,2432 By Common Division

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

Greatest Common Factor of 7207,2432 By Matching Biggest Common Factor Method

Now, list down the factors of 7207

1,7207

Now, list down the factors of 2432

1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432

Greatest Common Factor

We found the factors 7207,2432 . The biggest common factor number is the GCF number.
So the greatest common factor 7207,2432 is 1.

Lets's calculate LCM of 636,2216

Lowest Common Multiple of 636,2216 using Common Division

2	636, 2216
2	318, 1108
	159, 554

∴ So the LCM of the given numbers is 2 x 2 x 159 x 554 = 352344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352344

Therefore, the GCF of Fractions 7207/636,2432/2216 is 1/352344

Least Common Multiple of 636,2216 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 636,2216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,2216) = 4

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

GCF(636,2216) x common factors =4 x 1 = 4

LCM(636,2216) = ( 636 × 2216 ) / 4

LCM(636,2216) = 1409376 / 4

LCM(636,2216) = 352344

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FAQs on GCF of Fractions of 7207/636, 2432/2216

1. What is the HCF of 7207,2432?

The HCF of 7207,2432 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 7207/636, 2432/2216?

Answer: GCF of Numerators as per given numbers 7207/636, 2432/2216 is

GCF of Numerators i.e. for 7207,2432 is 1

LCM of denominators i.e. for 636,2216 is 352344.

Thus, GCF of Fractions is 1/352344.Finally, GCF of Fractions for 7207/636, 2432/2216 is 1/352344.