How to Find GCF of 6238/308, 8403/9779?

GCF of 6238/308, 8403/9779

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 6238/308, 8403/9779 i.e 1/39116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6238/308, 8403/9779.

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 6238/308,8403/9779?

Given fractions are 6238/308,8403/9779

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 6238/308,8403/9779, numerators are 6238,8403

Denominators are 308,9779

The GCF of 6238,8403 is 1 .

LCM of 308,9779 is 39116.

The greatest common factor of 6238/308,8403/9779 = [GCF of 6238,8403]/[LCM of 308,9779]= 1/39116

Therefore, the GCF of 6238/308,8403/9779 is 1/39116.

Greatest Common Factor of 6238,8403

To find the highest common factor of 6238,8403, we have to find the factors of both numbers and list the highest common factor.

The factors of 6238 are 1, 2, 3119, 6238

The factors of 8403 are 1, 3, 2801, 8403

The HCF of 6238,8403 is 1.

Lets's calculate GCF of 6238,8403

Greatest Common Factor (GCF) of 6238,8403 By Common Division

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

Greatest Common Factor of 6238,8403 By Matching Biggest Common Factor Method

Now, list down the factors of 6238

1,2,3119,6238

Now, list down the factors of 8403

1,3,2801,8403

Greatest Common Factor

We found the factors 6238,8403 . The biggest common factor number is the GCF number.
So the greatest common factor 6238,8403 is 1.

Lets's calculate LCM of 308,9779

Lowest Common Multiple of 308,9779 using Common Division

7	308, 9779
11	44, 1397
	4, 127

∴ So the LCM of the given numbers is 7 x 11 x 4 x 127 = 39116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39116

Therefore, the GCF of Fractions 6238/308,8403/9779 is 1/39116

Least Common Multiple of 308,9779 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 308,9779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,9779) = 77

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

GCF(308,9779) x common factors =77 x 1 = 77

LCM(308,9779) = ( 308 × 9779 ) / 77

LCM(308,9779) = 3011932 / 77

LCM(308,9779) = 39116

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FAQs on GCF of Fractions of 6238/308, 8403/9779

1. What is the HCF of 6238,8403?

The HCF of 6238,8403 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 6238/308, 8403/9779?

Answer: GCF of Numerators as per given numbers 6238/308, 8403/9779 is

GCF of Numerators i.e. for 6238,8403 is 1

LCM of denominators i.e. for 308,9779 is 39116.

Thus, GCF of Fractions is 1/39116.Finally, GCF of Fractions for 6238/308, 8403/9779 is 1/39116.