How to Find GCF of 6363/428, 2767/5912?

GCF of 6363/428, 2767/5912

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 6363/428, 2767/5912 i.e 1/632584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6363/428, 2767/5912.

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 6363/428,2767/5912?

Given fractions are 6363/428,2767/5912

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 6363/428,2767/5912, numerators are 6363,2767

Denominators are 428,5912

The GCF of 6363,2767 is 1 .

LCM of 428,5912 is 632584.

The greatest common factor of 6363/428,2767/5912 = [GCF of 6363,2767]/[LCM of 428,5912]= 1/632584

Therefore, the GCF of 6363/428,2767/5912 is 1/632584.

Greatest Common Factor of 6363,2767

To find the highest common factor of 6363,2767, we have to find the factors of both numbers and list the highest common factor.

The factors of 6363 are 1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363

The factors of 2767 are 1, 2767

The HCF of 6363,2767 is 1.

Lets's calculate GCF of 6363,2767

Greatest Common Factor (GCF) of 6363,2767 By Common Division

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

Greatest Common Factor of 6363,2767 By Matching Biggest Common Factor Method

Now, list down the factors of 6363

1,3,7,9,21,63,101,303,707,909,2121,6363

Now, list down the factors of 2767

1,2767

Greatest Common Factor

We found the factors 6363,2767 . The biggest common factor number is the GCF number.
So the greatest common factor 6363,2767 is 1.

Lets's calculate LCM of 428,5912

Lowest Common Multiple of 428,5912 using Common Division

2	428, 5912
2	214, 2956
	107, 1478

∴ So the LCM of the given numbers is 2 x 2 x 107 x 1478 = 632584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/632584

Therefore, the GCF of Fractions 6363/428,2767/5912 is 1/632584

Least Common Multiple of 428,5912 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 428,5912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,5912) = 4

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

GCF(428,5912) x common factors =4 x 1 = 4

LCM(428,5912) = ( 428 × 5912 ) / 4

LCM(428,5912) = 2530336 / 4

LCM(428,5912) = 632584

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6363/428, 2767/5912

1. What is the HCF of 6363,2767?

The HCF of 6363,2767 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 6363/428, 2767/5912?

Answer: GCF of Numerators as per given numbers 6363/428, 2767/5912 is

GCF of Numerators i.e. for 6363,2767 is 1

LCM of denominators i.e. for 428,5912 is 632584.

Thus, GCF of Fractions is 1/632584.Finally, GCF of Fractions for 6363/428, 2767/5912 is 1/632584.