How to Find GCF of 7858/229, 6230/9018?

GCF of 7858/229, 6230/9018

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 7858/229, 6230/9018 i.e 2/2065122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7858/229, 6230/9018.

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 7858/229,6230/9018?

Given fractions are 7858/229,6230/9018

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 7858/229,6230/9018, numerators are 7858,6230

Denominators are 229,9018

The GCF of 7858,6230 is 2 .

LCM of 229,9018 is 2065122.

The greatest common factor of 7858/229,6230/9018 = [GCF of 7858,6230]/[LCM of 229,9018]= 2/2065122

Therefore, the GCF of 7858/229,6230/9018 is 2/2065122.

Greatest Common Factor of 7858,6230

To find the highest common factor of 7858,6230, we have to find the factors of both numbers and list the highest common factor.

The factors of 7858 are 1, 2, 3929, 7858

The factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230

The HCF of 7858,6230 is 2.

Lets's calculate GCF of 7858,6230

Greatest Common Factor (GCF) of 7858,6230 By Common Division

2	7858, 6230
	3929, 3115

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7858,6230 By Matching Biggest Common Factor Method

Now, list down the factors of 7858

1,2,3929,7858

Now, list down the factors of 6230

1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230

Greatest Common Factor

We found the factors 7858,6230 . The biggest common factor number is the GCF number.
So the greatest common factor 7858,6230 is 2.

Lets's calculate LCM of 229,9018

Lowest Common Multiple of 229,9018 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2065122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2065122

Therefore, the GCF of Fractions 7858/229,6230/9018 is 2/2065122

Least Common Multiple of 229,9018 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 229,9018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,9018) = 1

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

GCF(229,9018) x common factors =1 x 1 = 1

LCM(229,9018) = ( 229 × 9018 ) / 1

LCM(229,9018) = 2065122 / 1

LCM(229,9018) = 2065122

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FAQs on GCF of Fractions of 7858/229, 6230/9018

1. What is the HCF of 7858,6230?

The HCF of 7858,6230 is 2

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 7858/229, 6230/9018?

Answer: GCF of Numerators as per given numbers 7858/229, 6230/9018 is

GCF of Numerators i.e. for 7858,6230 is 2

LCM of denominators i.e. for 229,9018 is 2065122.

Thus, GCF of Fractions is 2/2065122.Finally, GCF of Fractions for 7858/229, 6230/9018 is 2/2065122.