How to Find GCF of 1207/184, 4079/732?

GCF of 1207/184, 4079/732

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 1207/184, 4079/732 i.e 1/33672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1207/184, 4079/732.

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 1207/184,4079/732?

Given fractions are 1207/184,4079/732

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 1207/184,4079/732, numerators are 1207,4079

Denominators are 184,732

The GCF of 1207,4079 is 1 .

LCM of 184,732 is 33672.

The greatest common factor of 1207/184,4079/732 = [GCF of 1207,4079]/[LCM of 184,732]= 1/33672

Therefore, the GCF of 1207/184,4079/732 is 1/33672.

Greatest Common Factor of 1207,4079

To find the highest common factor of 1207,4079, we have to find the factors of both numbers and list the highest common factor.

The factors of 1207 are 1, 17, 71, 1207

The factors of 4079 are 1, 4079

The HCF of 1207,4079 is 1.

Lets's calculate GCF of 1207,4079

Greatest Common Factor (GCF) of 1207,4079 By Common Division

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

Greatest Common Factor of 1207,4079 By Matching Biggest Common Factor Method

Now, list down the factors of 1207

1,17,71,1207

Now, list down the factors of 4079

1,4079

Greatest Common Factor

We found the factors 1207,4079 . The biggest common factor number is the GCF number.
So the greatest common factor 1207,4079 is 1.

Lets's calculate LCM of 184,732

Lowest Common Multiple of 184,732 using Common Division

2	184, 732
2	92, 366
	46, 183

∴ So the LCM of the given numbers is 2 x 2 x 46 x 183 = 33672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33672

Therefore, the GCF of Fractions 1207/184,4079/732 is 1/33672

Least Common Multiple of 184,732 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 184,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,732) = 4

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

GCF(184,732) x common factors =4 x 1 = 4

LCM(184,732) = ( 184 × 732 ) / 4

LCM(184,732) = 134688 / 4

LCM(184,732) = 33672

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FAQs on GCF of Fractions of 1207/184, 4079/732

1. What is the HCF of 1207,4079?

The HCF of 1207,4079 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 1207/184, 4079/732?

Answer: GCF of Numerators as per given numbers 1207/184, 4079/732 is

GCF of Numerators i.e. for 1207,4079 is 1

LCM of denominators i.e. for 184,732 is 33672.

Thus, GCF of Fractions is 1/33672.Finally, GCF of Fractions for 1207/184, 4079/732 is 1/33672.