How to Find GCF of 4679/118, 4892/208?

GCF of 4679/118, 4892/208

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 4679/118, 4892/208 i.e 1/12272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4679/118, 4892/208.

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 4679/118,4892/208?

Given fractions are 4679/118,4892/208

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 4679/118,4892/208, numerators are 4679,4892

Denominators are 118,208

The GCF of 4679,4892 is 1 .

LCM of 118,208 is 12272.

The greatest common factor of 4679/118,4892/208 = [GCF of 4679,4892]/[LCM of 118,208]= 1/12272

Therefore, the GCF of 4679/118,4892/208 is 1/12272.

Greatest Common Factor of 4679,4892

To find the highest common factor of 4679,4892, we have to find the factors of both numbers and list the highest common factor.

The factors of 4679 are 1, 4679

The factors of 4892 are 1, 2, 4, 1223, 2446, 4892

The HCF of 4679,4892 is 1.

Lets's calculate GCF of 4679,4892

Greatest Common Factor (GCF) of 4679,4892 By Common Division

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

Greatest Common Factor of 4679,4892 By Matching Biggest Common Factor Method

Now, list down the factors of 4679

1,4679

Now, list down the factors of 4892

1,2,4,1223,2446,4892

Greatest Common Factor

We found the factors 4679,4892 . The biggest common factor number is the GCF number.
So the greatest common factor 4679,4892 is 1.

Lets's calculate LCM of 118,208

Lowest Common Multiple of 118,208 using Common Division

2	118, 208
	59, 104

∴ So the LCM of the given numbers is 2 x 59 x 104 = 12272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12272

Therefore, the GCF of Fractions 4679/118,4892/208 is 1/12272

Least Common Multiple of 118,208 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 118,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,208) = 2

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

GCF(118,208) x common factors =2 x 1 = 2

LCM(118,208) = ( 118 × 208 ) / 2

LCM(118,208) = 24544 / 2

LCM(118,208) = 12272

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4679/118, 4892/208

1. What is the HCF of 4679,4892?

The HCF of 4679,4892 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 4679/118, 4892/208?

Answer: GCF of Numerators as per given numbers 4679/118, 4892/208 is

GCF of Numerators i.e. for 4679,4892 is 1

LCM of denominators i.e. for 118,208 is 12272.

Thus, GCF of Fractions is 1/12272.Finally, GCF of Fractions for 4679/118, 4892/208 is 1/12272.