How to Find GCF of 6202/492, 6427/3084?

GCF of 6202/492, 6427/3084

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 6202/492, 6427/3084 i.e 1/126444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6202/492, 6427/3084.

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 6202/492,6427/3084?

Given fractions are 6202/492,6427/3084

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 6202/492,6427/3084, numerators are 6202,6427

Denominators are 492,3084

The GCF of 6202,6427 is 1 .

LCM of 492,3084 is 126444.

The greatest common factor of 6202/492,6427/3084 = [GCF of 6202,6427]/[LCM of 492,3084]= 1/126444

Therefore, the GCF of 6202/492,6427/3084 is 1/126444.

Greatest Common Factor of 6202,6427

To find the highest common factor of 6202,6427, we have to find the factors of both numbers and list the highest common factor.

The factors of 6202 are 1, 2, 7, 14, 443, 886, 3101, 6202

The factors of 6427 are 1, 6427

The HCF of 6202,6427 is 1.

Lets's calculate GCF of 6202,6427

Greatest Common Factor (GCF) of 6202,6427 By Common Division

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

Greatest Common Factor of 6202,6427 By Matching Biggest Common Factor Method

Now, list down the factors of 6202

1,2,7,14,443,886,3101,6202

Now, list down the factors of 6427

1,6427

Greatest Common Factor

We found the factors 6202,6427 . The biggest common factor number is the GCF number.
So the greatest common factor 6202,6427 is 1.

Lets's calculate LCM of 492,3084

Lowest Common Multiple of 492,3084 using Common Division

2	492, 3084
2	246, 1542
3	123, 771
	41, 257

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 257 = 126444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126444

Therefore, the GCF of Fractions 6202/492,6427/3084 is 1/126444

Least Common Multiple of 492,3084 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 492,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,3084) = 12

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

GCF(492,3084) x common factors =12 x 1 = 12

LCM(492,3084) = ( 492 × 3084 ) / 12

LCM(492,3084) = 1517328 / 12

LCM(492,3084) = 126444

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FAQs on GCF of Fractions of 6202/492, 6427/3084

1. What is the HCF of 6202,6427?

The HCF of 6202,6427 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 6202/492, 6427/3084?

Answer: GCF of Numerators as per given numbers 6202/492, 6427/3084 is

GCF of Numerators i.e. for 6202,6427 is 1

LCM of denominators i.e. for 492,3084 is 126444.

Thus, GCF of Fractions is 1/126444.Finally, GCF of Fractions for 6202/492, 6427/3084 is 1/126444.