How to Find GCF of 384/236, 7207/7920?

GCF of 384/236, 7207/7920

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 384/236, 7207/7920 i.e 1/467280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 384/236, 7207/7920.

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 384/236,7207/7920?

Given fractions are 384/236,7207/7920

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 384/236,7207/7920, numerators are 384,7207

Denominators are 236,7920

The GCF of 384,7207 is 1 .

LCM of 236,7920 is 467280.

The greatest common factor of 384/236,7207/7920 = [GCF of 384,7207]/[LCM of 236,7920]= 1/467280

Therefore, the GCF of 384/236,7207/7920 is 1/467280.

Greatest Common Factor of 384,7207

To find the highest common factor of 384,7207, we have to find the factors of both numbers and list the highest common factor.

The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

The factors of 7207 are 1, 7207

The HCF of 384,7207 is 1.

Lets's calculate GCF of 384,7207

Greatest Common Factor (GCF) of 384,7207 By Common Division

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

Greatest Common Factor of 384,7207 By Matching Biggest Common Factor Method

Now, list down the factors of 384

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Now, list down the factors of 7207

1,7207

Greatest Common Factor

We found the factors 384,7207 . The biggest common factor number is the GCF number.
So the greatest common factor 384,7207 is 1.

Lets's calculate LCM of 236,7920

Lowest Common Multiple of 236,7920 using Common Division

2	236, 7920
2	118, 3960
	59, 1980

∴ So the LCM of the given numbers is 2 x 2 x 59 x 1980 = 467280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467280

Therefore, the GCF of Fractions 384/236,7207/7920 is 1/467280

Least Common Multiple of 236,7920 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 236,7920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,7920) = 4

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

GCF(236,7920) x common factors =4 x 1 = 4

LCM(236,7920) = ( 236 × 7920 ) / 4

LCM(236,7920) = 1869120 / 4

LCM(236,7920) = 467280

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FAQs on GCF of Fractions of 384/236, 7207/7920

1. What is the HCF of 384,7207?

The HCF of 384,7207 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 384/236, 7207/7920?

Answer: GCF of Numerators as per given numbers 384/236, 7207/7920 is

GCF of Numerators i.e. for 384,7207 is 1

LCM of denominators i.e. for 236,7920 is 467280.

Thus, GCF of Fractions is 1/467280.Finally, GCF of Fractions for 384/236, 7207/7920 is 1/467280.