How to Find GCF of 2466/880, 6234/284?

GCF of 2466/880, 6234/284

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 2466/880, 6234/284 i.e 6/62480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2466/880, 6234/284.

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 2466/880,6234/284?

Given fractions are 2466/880,6234/284

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 2466/880,6234/284, numerators are 2466,6234

Denominators are 880,284

The GCF of 2466,6234 is 6 .

LCM of 880,284 is 62480.

The greatest common factor of 2466/880,6234/284 = [GCF of 2466,6234]/[LCM of 880,284]= 6/62480

Therefore, the GCF of 2466/880,6234/284 is 6/62480.

Greatest Common Factor of 2466,6234

To find the highest common factor of 2466,6234, we have to find the factors of both numbers and list the highest common factor.

The factors of 2466 are 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233, 2466

The factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234

The HCF of 2466,6234 is 6.

Lets's calculate GCF of 2466,6234

Greatest Common Factor (GCF) of 2466,6234 By Common Division

2	2466, 6234
3	1233, 3117
	411, 1039

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2466,6234 By Matching Biggest Common Factor Method

Now, list down the factors of 2466

1,2,3,6,9,18,137,274,411,822,1233,2466

Now, list down the factors of 6234

1,2,3,6,1039,2078,3117,6234

Greatest Common Factor

We found the factors 2466,6234 . The biggest common factor number is the GCF number.
So the greatest common factor 2466,6234 is 6.

Lets's calculate LCM of 880,284

Lowest Common Multiple of 880,284 using Common Division

2	880, 284
2	440, 142
	220, 71

∴ So the LCM of the given numbers is 2 x 2 x 220 x 71 = 62480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/62480

Therefore, the GCF of Fractions 2466/880,6234/284 is 6/62480

Least Common Multiple of 880,284 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 880,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,284) = 4

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

GCF(880,284) x common factors =4 x 1 = 4

LCM(880,284) = ( 880 × 284 ) / 4

LCM(880,284) = 249920 / 4

LCM(880,284) = 62480

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FAQs on GCF of Fractions of 2466/880, 6234/284

1. What is the HCF of 2466,6234?

The HCF of 2466,6234 is 6

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 2466/880, 6234/284?

Answer: GCF of Numerators as per given numbers 2466/880, 6234/284 is

GCF of Numerators i.e. for 2466,6234 is 6

LCM of denominators i.e. for 880,284 is 62480.

Thus, GCF of Fractions is 6/62480.Finally, GCF of Fractions for 2466/880, 6234/284 is 6/62480.