How to Find GCF of 4650/436, 7079/1792?

GCF of 4650/436, 7079/1792

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 4650/436, 7079/1792 i.e 1/195328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4650/436, 7079/1792.

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 4650/436,7079/1792?

Given fractions are 4650/436,7079/1792

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 4650/436,7079/1792, numerators are 4650,7079

Denominators are 436,1792

The GCF of 4650,7079 is 1 .

LCM of 436,1792 is 195328.

The greatest common factor of 4650/436,7079/1792 = [GCF of 4650,7079]/[LCM of 436,1792]= 1/195328

Therefore, the GCF of 4650/436,7079/1792 is 1/195328.

Greatest Common Factor of 4650,7079

To find the highest common factor of 4650,7079, we have to find the factors of both numbers and list the highest common factor.

The factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650

The factors of 7079 are 1, 7079

The HCF of 4650,7079 is 1.

Lets's calculate GCF of 4650,7079

Greatest Common Factor (GCF) of 4650,7079 By Common Division

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

Greatest Common Factor of 4650,7079 By Matching Biggest Common Factor Method

Now, list down the factors of 4650

1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650

Now, list down the factors of 7079

1,7079

Greatest Common Factor

We found the factors 4650,7079 . The biggest common factor number is the GCF number.
So the greatest common factor 4650,7079 is 1.

Lets's calculate LCM of 436,1792

Lowest Common Multiple of 436,1792 using Common Division

2	436, 1792
2	218, 896
	109, 448

∴ So the LCM of the given numbers is 2 x 2 x 109 x 448 = 195328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195328

Therefore, the GCF of Fractions 4650/436,7079/1792 is 1/195328

Least Common Multiple of 436,1792 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 436,1792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,1792) = 4

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

GCF(436,1792) x common factors =4 x 1 = 4

LCM(436,1792) = ( 436 × 1792 ) / 4

LCM(436,1792) = 781312 / 4

LCM(436,1792) = 195328

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4650/436, 7079/1792

1. What is the HCF of 4650,7079?

The HCF of 4650,7079 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 4650/436, 7079/1792?

Answer: GCF of Numerators as per given numbers 4650/436, 7079/1792 is

GCF of Numerators i.e. for 4650,7079 is 1

LCM of denominators i.e. for 436,1792 is 195328.

Thus, GCF of Fractions is 1/195328.Finally, GCF of Fractions for 4650/436, 7079/1792 is 1/195328.