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GCF of 6266/126, 2404/6272

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 6266/126, 2404/6272 i.e 2/56448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6266/126, 2404/6272.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6266/126,2404/6272?

Given fractions are 6266/126,2404/6272

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 6266/126,2404/6272, numerators are 6266,2404

Denominators are 126,6272

The GCF of 6266,2404 is 2 .

LCM of 126,6272 is 56448.

The greatest common factor of 6266/126,2404/6272 = [GCF of 6266,2404]/[LCM of 126,6272]= 2/56448

Therefore, the GCF of 6266/126,2404/6272 is 2/56448.

Greatest Common Factor of 6266,2404

To find the highest common factor of 6266,2404, we have to find the factors of both numbers and list the highest common factor.

The factors of 6266 are 1, 2, 13, 26, 241, 482, 3133, 6266

The factors of 2404 are 1, 2, 4, 601, 1202, 2404

The HCF of 6266,2404 is 2.

Lets's calculate GCF of 6266,2404

Greatest Common Factor (GCF) of 6266,2404 By Common Division

2 6266, 2404
3133, 1202

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

Greatest Common Factor of 6266,2404 By Matching Biggest Common Factor Method

Greatest Common Factor of 6266,2404 By Matching Biggest Common Factor Method

Now, list down the factors of 6266

:

1,2,13,26,241,482,3133,6266

Now, list down the factors of 2404

:

1,2,4,601,1202,2404

Greatest Common Factor

We found the factors 6266,2404 . The biggest common factor number is the GCF number.
So the greatest common factor 6266,2404 is 2.


Lets's calculate LCM of 126,6272

Lowest Common Multiple of 126,6272 using Common Division

2 126, 6272
7 63, 3136
9, 448

∴ So the LCM of the given numbers is 2 x 7 x 9 x 448 = 56448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56448

Therefore, the GCF of Fractions 6266/126,2404/6272 is 2/56448

Least Common Multiple of 126,6272 with GCF Formula

Least Common Multiple of 126,6272 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 126,6272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,6272) = 14

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

GCF(126,6272) x common factors =14 x 1 = 14

LCM(126,6272) = ( 126 × 6272 ) / 14

LCM(126,6272) = 790272 / 14

LCM(126,6272) = 56448


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6266/126, 2404/6272

1. What is the HCF of 6266,2404?

The HCF of 6266,2404 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 6266/126, 2404/6272?

Answer: GCF of Numerators as per given numbers 6266/126, 2404/6272 is

GCF of Numerators i.e. for 6266,2404 is 2

LCM of denominators i.e. for 126,6272 is 56448.

Thus, GCF of Fractions is 2/56448.Finally, GCF of Fractions for 6266/126, 2404/6272 is 2/56448.