How to Find GCF of 4238/272, 4949/8224?

GCF of 4238/272, 4949/8224

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 4238/272, 4949/8224 i.e 1/139808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4238/272, 4949/8224.

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 4238/272,4949/8224?

Given fractions are 4238/272,4949/8224

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 4238/272,4949/8224, numerators are 4238,4949

Denominators are 272,8224

The GCF of 4238,4949 is 1 .

LCM of 272,8224 is 139808.

The greatest common factor of 4238/272,4949/8224 = [GCF of 4238,4949]/[LCM of 272,8224]= 1/139808

Therefore, the GCF of 4238/272,4949/8224 is 1/139808.

Greatest Common Factor of 4238,4949

To find the highest common factor of 4238,4949, we have to find the factors of both numbers and list the highest common factor.

The factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238

The factors of 4949 are 1, 7, 49, 101, 707, 4949

The HCF of 4238,4949 is 1.

Lets's calculate GCF of 4238,4949

Greatest Common Factor (GCF) of 4238,4949 By Common Division

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

Greatest Common Factor of 4238,4949 By Matching Biggest Common Factor Method

Now, list down the factors of 4238

1,2,13,26,163,326,2119,4238

Now, list down the factors of 4949

1,7,49,101,707,4949

Greatest Common Factor

We found the factors 4238,4949 . The biggest common factor number is the GCF number.
So the greatest common factor 4238,4949 is 1.

Lets's calculate LCM of 272,8224

Lowest Common Multiple of 272,8224 using Common Division

2	272, 8224
2	136, 4112
2	68, 2056
2	34, 1028
	17, 514

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 514 = 139808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139808

Therefore, the GCF of Fractions 4238/272,4949/8224 is 1/139808

Least Common Multiple of 272,8224 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 272,8224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,8224) = 16

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

GCF(272,8224) x common factors =16 x 1 = 16

LCM(272,8224) = ( 272 × 8224 ) / 16

LCM(272,8224) = 2236928 / 16

LCM(272,8224) = 139808

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FAQs on GCF of Fractions of 4238/272, 4949/8224

1. What is the HCF of 4238,4949?

The HCF of 4238,4949 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 4238/272, 4949/8224?

Answer: GCF of Numerators as per given numbers 4238/272, 4949/8224 is

GCF of Numerators i.e. for 4238,4949 is 1

LCM of denominators i.e. for 272,8224 is 139808.

Thus, GCF of Fractions is 1/139808.Finally, GCF of Fractions for 4238/272, 4949/8224 is 1/139808.