How to Find GCF of 4326/628, 6113/9000?

GCF of 4326/628, 6113/9000

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 4326/628, 6113/9000 i.e 1/1413000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4326/628, 6113/9000.

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 4326/628,6113/9000?

Given fractions are 4326/628,6113/9000

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 4326/628,6113/9000, numerators are 4326,6113

Denominators are 628,9000

The GCF of 4326,6113 is 1 .

LCM of 628,9000 is 1413000.

The greatest common factor of 4326/628,6113/9000 = [GCF of 4326,6113]/[LCM of 628,9000]= 1/1413000

Therefore, the GCF of 4326/628,6113/9000 is 1/1413000.

Greatest Common Factor of 4326,6113

To find the highest common factor of 4326,6113, we have to find the factors of both numbers and list the highest common factor.

The factors of 4326 are 1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163, 4326

The factors of 6113 are 1, 6113

The HCF of 4326,6113 is 1.

Lets's calculate GCF of 4326,6113

Greatest Common Factor (GCF) of 4326,6113 By Common Division

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

Greatest Common Factor of 4326,6113 By Matching Biggest Common Factor Method

Now, list down the factors of 4326

1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326

Now, list down the factors of 6113

1,6113

Greatest Common Factor

We found the factors 4326,6113 . The biggest common factor number is the GCF number.
So the greatest common factor 4326,6113 is 1.

Lets's calculate LCM of 628,9000

Lowest Common Multiple of 628,9000 using Common Division

2	628, 9000
2	314, 4500
	157, 2250

∴ So the LCM of the given numbers is 2 x 2 x 157 x 2250 = 1413000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1413000

Therefore, the GCF of Fractions 4326/628,6113/9000 is 1/1413000

Least Common Multiple of 628,9000 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 628,9000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,9000) = 4

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

GCF(628,9000) x common factors =4 x 1 = 4

LCM(628,9000) = ( 628 × 9000 ) / 4

LCM(628,9000) = 5652000 / 4

LCM(628,9000) = 1413000

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FAQs on GCF of Fractions of 4326/628, 6113/9000

1. What is the HCF of 4326,6113?

The HCF of 4326,6113 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 4326/628, 6113/9000?

Answer: GCF of Numerators as per given numbers 4326/628, 6113/9000 is

GCF of Numerators i.e. for 4326,6113 is 1

LCM of denominators i.e. for 628,9000 is 1413000.

Thus, GCF of Fractions is 1/1413000.Finally, GCF of Fractions for 4326/628, 6113/9000 is 1/1413000.